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PROBABILITIES AND MATH STATISTICS (113 journals)                     

Showing 1 - 98 of 98 Journals sorted alphabetically
Advances in Statistics     Open Access   (Followers: 9)
Afrika Statistika     Open Access   (Followers: 1)
American Journal of Applied Mathematics and Statistics     Open Access   (Followers: 11)
American Journal of Mathematics and Statistics     Open Access   (Followers: 9)
Annals of Data Science     Hybrid Journal   (Followers: 14)
Annual Review of Statistics and Its Application     Full-text available via subscription   (Followers: 7)
Applied Medical Informatics     Open Access   (Followers: 11)
Asian Journal of Mathematics & Statistics     Open Access   (Followers: 8)
Asian Journal of Probability and Statistics     Open Access  
Austrian Journal of Statistics     Open Access   (Followers: 4)
Biostatistics & Epidemiology     Hybrid Journal   (Followers: 4)
Cadernos do IME : Série Estatística     Open Access  
Calcutta Statistical Association Bulletin     Hybrid Journal  
Communications in Mathematics and Statistics     Hybrid Journal   (Followers: 4)
Communications in Statistics - Simulation and Computation     Hybrid Journal   (Followers: 9)
Communications in Statistics: Case Studies, Data Analysis and Applications     Hybrid Journal  
Comunicaciones en Estadística     Open Access  
Econometrics and Statistics     Hybrid Journal   (Followers: 1)
Forecasting     Open Access   (Followers: 1)
Foundations and Trends® in Optimization     Full-text available via subscription   (Followers: 3)
Frontiers in Applied Mathematics and Statistics     Open Access   (Followers: 1)
Game Theory     Open Access   (Followers: 2)
Geoinformatics & Geostatistics     Hybrid Journal   (Followers: 14)
Geomatics, Natural Hazards and Risk     Open Access   (Followers: 13)
Indonesian Journal of Applied Statistics     Open Access  
International Game Theory Review     Hybrid Journal   (Followers: 1)
International Journal of Advanced Statistics and IT&C for Economics and Life Sciences     Open Access  
International Journal of Advanced Statistics and Probability     Open Access   (Followers: 7)
International Journal of Algebra and Statistics     Open Access   (Followers: 3)
International Journal of Applied Mathematics and Statistics     Full-text available via subscription   (Followers: 3)
International Journal of Ecological Economics and Statistics     Full-text available via subscription   (Followers: 4)
International Journal of Energy and Statistics     Hybrid Journal   (Followers: 3)
International Journal of Game Theory     Hybrid Journal   (Followers: 3)
International Journal of Mathematics and Statistics     Full-text available via subscription   (Followers: 2)
International Journal of Multivariate Data Analysis     Hybrid Journal  
International Journal of Probability and Statistics     Open Access   (Followers: 4)
International Journal of Statistics & Economics     Full-text available via subscription   (Followers: 6)
International Journal of Statistics and Applications     Open Access   (Followers: 2)
International Journal of Statistics and Probability     Open Access   (Followers: 3)
International Journal of Statistics in Medical Research     Hybrid Journal   (Followers: 5)
International Journal of Testing     Hybrid Journal   (Followers: 1)
Iraqi Journal of Statistical Sciences     Open Access  
Japanese Journal of Statistics and Data Science     Hybrid Journal  
Journal of Biometrics & Biostatistics     Open Access   (Followers: 4)
Journal of Cost Analysis and Parametrics     Hybrid Journal   (Followers: 5)
Journal of Environmental Statistics     Open Access   (Followers: 4)
Journal of Game Theory     Open Access   (Followers: 1)
Journal of Mathematical Economics and Finance     Full-text available via subscription  
Journal of Mathematics and Statistics Studies     Open Access  
Journal of Modern Applied Statistical Methods     Open Access   (Followers: 1)
Journal of Official Statistics     Open Access   (Followers: 2)
Journal of Quantitative Economics     Hybrid Journal  
Journal of Social and Economic Statistics     Open Access  
Journal of Statistical Theory and Practice     Hybrid Journal   (Followers: 2)
Journal of Statistics and Data Science Education     Open Access   (Followers: 2)
Journal of Survey Statistics and Methodology     Hybrid Journal   (Followers: 4)
Journal of the Indian Society for Probability and Statistics     Full-text available via subscription  
Jurnal Biometrika dan Kependudukan     Open Access  
Jurnal Ekonomi Kuantitatif Terapan     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Lietuvos Statistikos Darbai     Open Access  
Mathematics and Statistics     Open Access   (Followers: 2)
Methods, Data, Analyses     Open Access   (Followers: 1)
METRON     Hybrid Journal   (Followers: 1)
Nepalese Journal of Statistics     Open Access  
North American Actuarial Journal     Hybrid Journal   (Followers: 1)
Open Journal of Statistics     Open Access   (Followers: 3)
Open Mathematics, Statistics and Probability Journal     Open Access  
Pakistan Journal of Statistics and Operation Research     Open Access   (Followers: 1)
Physica A: Statistical Mechanics and its Applications     Hybrid Journal   (Followers: 6)
Probability, Uncertainty and Quantitative Risk     Open Access   (Followers: 2)
Ratio Mathematica     Open Access  
Research & Reviews : Journal of Statistics     Open Access   (Followers: 3)
Revista Brasileira de Biometria     Open Access  
Revista Colombiana de Estadística     Open Access  
RMS : Research in Mathematics & Statistics     Open Access  
Romanian Statistical Review     Open Access  
Sankhya B - Applied and Interdisciplinary Statistics     Hybrid Journal  
SIAM Journal on Mathematics of Data Science     Hybrid Journal   (Followers: 1)
SIAM/ASA Journal on Uncertainty Quantification     Hybrid Journal   (Followers: 2)
Spatial Statistics     Hybrid Journal   (Followers: 2)
Sri Lankan Journal of Applied Statistics     Open Access  
Stat     Hybrid Journal   (Followers: 1)
Stata Journal     Full-text available via subscription   (Followers: 8)
Statistica     Open Access   (Followers: 6)
Statistical Analysis and Data Mining     Hybrid Journal   (Followers: 23)
Statistical Theory and Related Fields     Hybrid Journal  
Statistics and Public Policy     Open Access   (Followers: 4)
Statistics in Transition New Series : An International Journal of the Polish Statistical Association     Open Access  
Statistics Research Letters     Open Access   (Followers: 1)
Statistics, Optimization & Information Computing     Open Access   (Followers: 3)
Stats     Open Access  
Synthesis Lectures on Mathematics and Statistics     Full-text available via subscription   (Followers: 1)
Theory of Probability and its Applications     Hybrid Journal   (Followers: 2)
Theory of Probability and Mathematical Statistics     Full-text available via subscription   (Followers: 2)
Turkish Journal of Forecasting     Open Access   (Followers: 1)
VARIANSI : Journal of Statistics and Its application on Teaching and Research     Open Access  
Zeitschrift für die gesamte Versicherungswissenschaft     Hybrid Journal  


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Pakistan Journal of Statistics and Operation Research
Journal Prestige (SJR): 0.383
Citation Impact (citeScore): 1
Number of Followers: 1  

  This is an Open Access Journal Open Access journal
ISSN (Print) 1816-2711 - ISSN (Online) 2220-5810
Published by U of the Punjab Homepage  [5 journals]
  • On solving uncooperative linear bilevel multi-follower programming

    • Authors: Fatemeh Moslemi, Habibeh Sadeghi
      Pages: 1 - 12
      Abstract: The relationship between the reference-uncooperative linear bilevel two-follower decision making and the multi-objective decision making has been recently considered (Sadeghi and Moslemi, 2019). In this paper, we address the foregoing relation for the uncooperative linear bilevel multi-follower programming (ULBMFP) model with  followers. Furthermore, we consider some geometric properties of the feasible solutions set of the ULBMFP problem. Moreover an algorithm to find an optimal solution for the ULBMFP problem was proposed. Ultimately, some numerical examples to illustrate the proposed algorithm were provided.
      PubDate: 2022-03-01
      DOI: 10.18187/pjsor.v18i1.3261
  • Alpha power inverted Kumaraswamy distribution: Definition, different
           estimation methods, and application

    • Authors: Kubra Bagci, Necati Erdogan, Talha Arslan, H. Eray Celik
      Pages: 13 - 25
      Abstract: In this study, an alpha power inverted Kumaraswamy (APIK) distribution is introduced. The APIK distribution is de- rived by applying alpha power transformation to an inverted Kumaraswamy distribution. Some submodels and limiting cases of the APIK distribution are obtained as well. To the best of the authors’ knowledge, some of these distributions have not been introduced yet. Statistical inference of the APIK distribution, including survival and hazard rate func- tions, are obtained. Unknown parameters of the APIK distribution are estimated by using the maximum likelihood (ML), maximum product of spacings (MPS), and least squares (LS) methods. A Monte Carlo simulation study is con- ducted to compare the efficiencies of the ML estimators of the shape parameters α, β and λ of the APIK distribution with their MPS and LS counterparts. An application to a real data set is provided to show the implementation and modeling capability of the APIK distribution.
      PubDate: 2022-03-01
      DOI: 10.18187/pjsor.v18i1.3327
  • The Remarks on Seven New Publications Based on Sub-Independence Concept

    • Authors: G.G. Hamedani, Mahrokh Najaf
      Pages: 27 - 32
      Abstract: Chesneau and Palacios considered the infinite decomposability of the Geometric (Chesneau and Palacios(2021b), (paper 1)), and Gamma, Laplace and n-Laplace (Chesneau and Palacios(2021a), (paper 2)) of two (as well as n) independent random variables. They obtained, very nicely, certain important results on the decomposability concept. Also, George Yanev published a paper entitled” Exponential and Hyper exponential Distributions: Some Characterizations” (Yanev G.(2020), (paper 3)) and reported a paper entitled ”On Arnold-Villasenor Conjectures for Characterizing Exponential Distribution Based on Sample of Size Three” (Yanev(2020), (paper 4)). In both papers, George Yanev considered the distribution of the sum or a linear combination of the independent random variables. Yanev obtained certain nice results in these two papers under the assumption of independence of the summands. Roozegar and Bazyani published a paper entitled ”Exact Distribution of Random Weighted Convolution of Some Beta Distributions Through an Integral Transform” (Roozegar and Bazyari(2017), (paper 5)), in which they considered the exact distribution of the weighted average of n independent beta random variables and provided a new integral transformation with some of its mathematical properties. Ahmad et al.(2021) considered ”Compound Negative Binomial Distribution as the Sum of Independent Laplace Variates” (paper 6) and discussed infinite divisibility of the underlining distribution. Furthermore, Marques et al.(2015) considered the distribution of the linear combinations of independent Gumbel random variables and obtain, very nicely, certain important results (paper 7). In this short note, we like to show that the very strong assumption of ”independence” can be replaced with a much weaker assumption of ”sub-independence” in all aforementioned papers. This short paper may be helpful to other investigators dealing with the random variables which are not necessary independent, but could be sub-independent.
      PubDate: 2022-03-02
      DOI: 10.18187/pjsor.v18i1.3553
  • The Exponentiated Half-logistic Odd Burr III-G: Model, Properties and

    • Authors: Broderick Oluyede, Peter O. Peter, Nkumbuludzi Ndwapi, Huybrechts Bindele
      Pages: 33 - 57
      Abstract: A new family of distributions called exponentiated half-logistic Odd Burr III-G (EHL-OBIII-G) is developed and studied. Mathematical and statistical properties such as the hazard function, quantile function, moments, probability weighted moments, Renyi entropy and stochastic orders are derived. The model parameters are estimated based on the maximum likelihood estimation method. The usefulness of the proposed family of distributions is demonstrated via extensive simulation studies. Finally the proposed model and its special case is applied to real data sets to illustrate its best fit and flexibility.
      PubDate: 2022-03-02
      DOI: 10.18187/pjsor.v18i1.3668
  • Data-driven analysis and prediction of COVID-19 infection in Southeast
           Asia by using a phenomenological model

    • Authors: Faihatuz Zuhairoh, Dedi Rosadi
      Pages: 59 - 69
      Abstract: COVID-19 has spread throughout the world, including in Southeast Asia. Many studies have made predictions using various models. However, very few are data-driven based. Meanwhile for the COVID-19 case, which is still ongoing, it is very suitable to use data-driven approach with phenomenological models. This paper aimed to obtain effective forecasting models and then predict when COVID-19 in Southeast Asia will peak and end using daily cumulative case data. The research applied the Richards curve and the logistic growth model, combining the two models to make prediction of the COVID-19 cases in Southeast Asia, both the countries with one pandemic wave or those with more than one pandemic wave. The best prediction results were obtained using the Richards curve with the logistic growth model parameters used as the initial values. In the best scenario, the Southeast Asia region is expected to be free from the COVID-19 pandemic at the end of 2021. These modeling results are expected to provide information about the provision of health facilities and how to handle infectious disease outbreaks in the future.
      PubDate: 2022-03-02
      DOI: 10.18187/pjsor.v18i1.3714
  • Intervened Exponential Distribution: Properties and Applications

    • Authors: VILAYAT ALI BHAT, Sudesh Pundir
      Pages: 71 - 84
      Abstract: This manuscript aims to study the intervention-based probability model. Statistical and reliability properties such as the expressions for, cumulative density function (CDF), mean deviations about mean and median, rth order central and non-central moments, ”generation functions” for moments have been derived. Moreover, the expression for reliability function, hazard rate, reverse hazard rate, aging intensity, mean residual life function, stress-strength reliability, and entropy metrics due to R´enyi and Shannon are also derived. Monte Carlo simulation study performance of maximum likelihood estimates (MLEs) has been carried out, followed by calculations of Average Bias (ABias), and Mean Square Error (MSE). The applicability of the model in real-life situations has been discussed by analyzing the two real-life data sets.
      PubDate: 2022-03-02
      DOI: 10.18187/pjsor.v18i1.3829
  • Bayesian analysis of an M M 1 ∞ queueing model

    • Authors: Naveen K. Bansal, V.S. Vaidyanathan, P. Chandrasekhar
      Pages: 85 - 97
      Abstract: In this paper, by considering an M M 1 ∞ queueing model, Bayes estimators of traffic intensity and measures of system performance are worked out under squared error loss function (SELF) based on observed data on the independent interarrival and service times. Further, minimum posterior risk associated with Bayes estimators of traffic intensity and system performance measures are obtained under SELF. Numerical illustration of the performance of the estimates is given through simulation study. It is shown that Bayes estimators perform better than the maximum likelihood estimators under the influence of prior information.
      PubDate: 2022-03-02
      DOI: 10.18187/pjsor.v18i1.3904
  • Contributions Towards New Families of Distributions: An Investigation,
           Further Developments, Characterizations and Comparative Study

    • Authors: Zubair Ahmad, Eisa Mahmoudi, Rasool Roozegarz, G.G. Hamedani, Nadeem Shafique Butt
      Pages: 99 - 120
      Abstract: In the past couple of years, statistical models have been extensively used in applied areas for analyzing real data sets. However, in numerous situations, the traditional distributions are not flexible enough to cater to different aspects of the real phenomena. For example, (i) in the practice of reliability engineering and biomedical analysis, some distributions provide the best fit to the data having monotonic failure rate function, but fails to provide the best fit to the data having non-monotonic failure rate function, (ii) some statistical distributions provide the best fit for small insurance losses, but fails to provide an adequate fit to large claim size data, and (iii) some distributions do not have closed forms causing difficulties in the estimation process. To address the above issues, therefore, several methods have been suggested to improve the flexibility of the classical distributions. In this article, we investigate some of the former methods of generalizing the existing distributions. Further, we propose nineteen new methods of extending the classical distributions to obtain flexible models suitable for modeling data in applied fields. We also provide certain characterizations of the newly proposed families. Finally, we provide a comparative study of the newly proposed and some other existing well-known models via analyzing three real data sets from three different disciplines such as reliability engineering, medical, and financial sciences.
      PubDate: 2022-03-02
      DOI: 10.18187/pjsor.v18i1.3908
  • Pareto-Weibull Distribution with Properties and Applications: A Member of
           Pareto-X Family

    • Authors: Md. Shohel Rana, Saman Hanif Shahbaz, Muhammad Qaiser Shahbaz, Md. Mahabubur Rahman
      Pages: 121 - 132
      Abstract: In the present study, we propose a new family of distributions namely the Pareto-X family. A sub model of the proposed family called Pareto-Weibull (PW) distribution is discussed. The maximum likelihood estimators of the model parameters are obtained. Different distributional properties of the distribution are described. In order to assess the applicability of the model, two real-life applications from environmental and biological study are considered. The practical applications show that the proposed model provides better fitness than any other models used in this study.
      PubDate: 2022-03-02
      DOI: 10.18187/pjsor.v18i1.3821
  • A novel four-parameter log-logistic model: mathematical properties and
           applications to breaking stress, survival times and leukemia data

    • Authors: Wahid Shehata, Murtadha Mansour Abdullah, Mohamed K. A. Refaie
      Pages: 133 - 149
      Abstract: In this paper, we introduce a new continuous log-logistic extension. Several of its properties are established. A numerical analysis for skewness and kurtosis is presented. The new failure rate can be "bathtub or U shaped", "increasing", "decreasing-constant", "J shaped", "constant" and "decreasing". Many bivariate and Multivariate type distributions are derived using the Clayton Copula and the Morgenstern family. To assess of the finite sample behavior of the estimators, we performed a graphical simulation. Some useful applications are considered for supporting the new model.
      PubDate: 2022-03-04
      DOI: 10.18187/pjsor.v18i1.3268
  • A novel iterative method to solve a linear fractional transportation

    • Authors: Sema Akin Bas, Hale Gonce Kocken, Beyza Ahlatcioglu Ozkok
      Pages: 151 - 166
      Abstract: The linear fractional transportation problem (LFTP) is widely encountered as a particular type of transportation problem (TP) in real-life. In this paper, a novel algorithm, based on the traditional definition of continuity, is presented to solve the LFTP. An iterative constraint is constructed by combining the objective function of the LFTP and the supply-demand condition since the fractional objective function is continuous at every point of the feasible region. By this constraint obtained, LFTP is converted into an iterative linear programming (LP) problem to reach the optimum solution. In this study, the case of asymptotic solution for LFTP is discussed for the first time in the literature. The numerical examples are performed for the linear and asymptotic cases to illustrate the method, and the approach proposed is compared with the other existing methods to demonstrate the efficiency of the algorithm. Also, an application had environmentalist objective is solved by proposed mathematical method using the software general algebraic modeling system (GAMS) with data set of the real case. Finally, some computational results from tests performed on randomly generated large-scale transportation problems are provided.
      PubDate: 2022-03-04
      DOI: 10.18187/pjsor.v18i1.3889
  • The Negative Binomial-New Generalized Lindley Distribution for Count Data:
           Properties and Application

    • Authors: Sirinapa Aryuyuen
      Pages: 167 - 177
      Abstract: In this paper, a new mixture distribution for count data, namely the negative binomial-new generalized Lindley (NB-NGL) distribution is proposed. The NB-NGL distribution has four parameters, and is a flexible alternative for analyzing count data, especially when there is over-dispersion in the data. The proposed distribution has sub-models such as the negative binomial-Lindley (NB-L), negative binomial-gamma (NB-G), and negative binomial-exponential (NB-E) distributions as the special cases. Some properties of the proposed distribution are derived, i.e., the moments and order statistics density function. The unknown parameters of the NB-NGL distribution are estimated by using the maximum likelihood estimation. The results of the simulation study show that the maximum likelihood estimators give the parameter estimates close to the parameter when the sample is large. Application of NB-NGL distribution is carry out on three samples of medical data, industry data, and insurance data. Based on the results, it is shown that the proposed distribution provides a better fit compared to the Poisson, negative binomial, and its sub-model for count data.
      PubDate: 2022-03-04
      DOI: 10.18187/pjsor.v18i1.2988
  • A New Four Parameter Extended Exponential Distribution with Statistical
           Properties and Applications

    • Authors: Amal Soliman Hassan, Rokaya Elmorsy Mohamed, Omid Kharazmi, Heba Fathy Nagy
      Pages: 179 - 193
      Abstract: In this work, we introduce a novel generalization of the extended exponential distribution with four parameters through the Kumaraswamy family. The proposed model is referred to as the Kumaraswamy extended exponential (KwEE). The significance of the suggested distribution from its flexibility in applications and data modeling. As specific sub-models, it includes the exponential, Kumaraswamy exponential, Kumaraswamy Lindley, Lindley, extended exponential, exponentiated Lindley, gamma and generalized exponential distributions. The representation of the density function, quantile function, ordinary and incomplete moments, generating function, and reliability of the KwEE distribution are all derived. The maximum likelihood approach is used to estimate model parameters. A simulation study for maximum likelihood estimates was used to investigate the behaviour of the model parameters. A numerical analysis is performed for various sample sizes and parameter values to analyze the behaviour of estimates using accuracy measures. According to a simulated investigation, the KwEE's maximum likelihood estimates perform well with increased sample size. We provide two real-world examples utilizing applied research to demonstrate that the new model is more effective.
      PubDate: 2022-03-04
      DOI: 10.18187/pjsor.v18i1.3872
  • Marshall-Olkin Zubair-G Family of Distributions

    • Authors: Suleman Nasiru, Abdul Ganiyyu Abubakari
      Pages: 195 - 210
      Abstract: A new class of distributions called Marshall-Olkin Zubair-G family is proposed in this study. Some statistical properties of the family are derived and two special distributions namely, Marshall-Olkin Zubair Nadarajah-Haghighi and Marshall-Olkin Zubair Weibull distributions are developed. The plots of the density and hazard rate functions of the special distributions exhibit different shapes for chosen parameter values, making them good candidates for modeling different types of datasets. A real life application using the Marshall-Olkin Zubair Nadarajah-Haghighi distribution revealed that it performs better than other existing extensions of the Nadarajah-Haghighi distribution for the given dataset.
      PubDate: 2022-03-04
      DOI: 10.18187/pjsor.v18i1.3096
  • Some Results on Exponentiated Weibull Distribution via Dual Generalized
           Order Statistics

    • Authors: Mahfooz Alam, Rafiqullah Khan, Mohd. Azam khan
      Pages: 211 - 224
      Abstract: In this paper, we use the concept of dual generalized order statistics dgos which was given by Pawlas and Syznal (2001). By using this, we obtain the various theorems and some relations through ratio and inverse moment by using exponentiated-Weibull distribution. Cases for order statistics and lower record values are also considered. Further, we characterize the exponentiated-Weibull distribution through three different methods by using the results obtained in this paper.
      PubDate: 2022-03-04
      DOI: 10.18187/pjsor.v18i1.3810
  • The Beta Power Muth Distribution: Regression Modeling, Properties and Data

    • Authors: Lazhar Benkhelifa
      Pages: 225 - 243
      Abstract: In this paper, we propose a new flexible lifetime distribution. The proposed distribution will be referred to as beta power Muth distribution. It can be used to model increasing, decreasing, bathtub shaped or upside-down bathtub hazard rates. Some properties of the new model are obtained including moments, quantile function and moments of the order statistics. The unknown model parameters are estimated by the maximum likelihood method of estimation. A Monte Carlo simulation study is carried out to assess the performance of the maximum likelihood estimates. Two reliability data sets are applied to illustrate the usefulness and flexibility of the proposed model. In addition, we introduce a new location-scale regression model based on the logarithm of the proposed distribution and provide a real data application.
      PubDate: 2022-03-04
      DOI: 10.18187/pjsor.v18i1.3529
  • Convergence Rates of Maxima of Non-identical Sums

    • Authors: Ibrahim A. Ahmad, Netti Herawati
      Pages: 245 - 248
      Abstract: For a sequence of independent non-identically distributed random variables with positive means, rates of convergence of the maximum of their sums are established.  These rates are exact and are obtained under the same moment conditions as those used for partial sums.
      PubDate: 2022-03-05
      DOI: 10.18187/pjsor.v18i1.3746
  • A New Lifetime Parametric Model for the Survival and Relief Times with
           Copulas and Properties

    • Authors: Wahid A. M. Shehata, Nadeem Shafique Butt, Haitham Yousof, Mohamed Aboraya
      Pages: 249 - 272
      Abstract: In this article, we introduce a new generalization of the Exponentiated Exponential distribution. Various structural mathematical properties are derived. Numerical analysis for mean, variance, skewness and kurtosis and the dispersion index are performed. The new density can be right skewed and symmetric with "unimodal" and "bimodal" shapes. The new hazard function can be "constant", "monotonically decreasing", " monotonically increasing", "increasing-constant”, “upside-down-constant", "decreasing-constant". Many bivariate and multivariate type model have been also derived. We assess the performance of the maximum likelihood method graphically via the biases and mean squared errors. The applicability of the new life distribution is illustrated by means of two real data sets.
      PubDate: 2022-03-05
      DOI: 10.18187/pjsor.v18i1.3930
  • A Two Parameter Ratio-Product-Ratio Estimator in Post Stratification

    • Authors: Housila Prasad Singh, Pragati Nigam
      Pages: 273 - 296
      Abstract: In this paper we consider a two parameter ratio-product-ratio estimator for estimating population mean in case of post stratification following the estimator due to Chami et al (2012). The bias and mean squared error of proposed estimator are obtained to the first degree of approximation. We derive conditions under which the proposed estimator has smaller mean squared error than the sample mean , ratio estimator and product estimators . Empirical studies gives insight on the magnitude of the efficiency of the estimator developed.
      PubDate: 2022-03-06
      DOI: 10.18187/pjsor.v18i1.3507
  • Discrete Inverted Kumaraswamy Distribution: Properties and Estimation

    • Authors: Mai Hegazy, Rabab Abd EL-Kader, Gannat AL-Dayian, Abeer Abd-Alla EL-Helbawy
      Pages: 297 - 328
      Abstract: In this paper, a discrete inverted Kumaraswamy distribution; which is a discrete version of the continuous inverted Kumaraswamy variable, is derived using the general approach of discretization of a continuous distribution. Some important distributional and reliability properties of the discrete inverted Kumaraswamy distribution are obtained. Maximum likelihood and Bayesian approaches are applied to estimate the model parameters. A simulation study is carried out to illustrate the theoretical results. Finally, a real data set is applied.
      PubDate: 2022-03-06
      DOI: 10.18187/pjsor.v18i1.3634
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