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Journal Cover International Journal of Advanced Statistics and Probability
  [2 followers]  Follow
  This is an Open Access Journal Open Access journal
   ISSN (Print) 2307-9045 - ISSN (Online) 2307-9045
   Published by Science Publishing Corporation Homepage  [12 journals]
  • Stochastic renewal process model for maintenance (case study: thermal
           electricity generation in Sudan)

    • Authors: Mohammedelameen Qurashi, Ahamed Mohamed Abdalla Hamdi
      Pages: 11 - 15
      Abstract: The renewal process defines as a counting process where the times between the count renewals is a random variables and their distribution is identical. In the electricity generation machines there are spare parts replaced due to damage or expired and replacement process occur repeatedly and the renewal process of here assume that times between replacements are independent random variables and it has identical probability distribution. In this paper, renewal process model has applied on the time of fault for machine in Bahri Thermal Station for electricity generation, which is belong to the National Electricity Authority in Sudan during the period (2011-2015). Through the renewal process model estimation is clear that, the failure time (renewal) for the machines follow Weibull distribution with 2-parameters and when the time trend has been tested it is clear that no trend exist which mean that the renewal process represent Homogeneous Poisson Process (HPP), and the repair rate (renewal) is occurred constantly. In addition, the findings approve that whenever the repair rate (renewal) increase the mean time between failures (MTBF) increases too and this clear in machine no (6).
      PubDate: 2016-01-16
      Issue No: Vol. 4, No. 1 (2016)
  • Two fixed point theorems in generalized metric spaces

    • Authors: Salwa S Abed, Hadeel H. Luaibi
      Pages: 16 - 19
      Abstract: In this paper, we prove there exists a coupled fixed point for a set- valued contraction mapping defined on X× X , where X is incomplete ordered G-metric. Also, we prove the existence of a unique fixed point for single valued mapping with respect to implicit condition defined on a complete G- metric.
      PubDate: 2016-02-12
      Issue No: Vol. 4, No. 1 (2016)
  • Maximum likelihood estimation based on type-i hybrid progressive censored
           competing risks data

    • Authors: Samir Ashour, Wael Abu El Azm
      Pages: 20 - 26
      Abstract: This paper is concerned with the estimators problems of the generalized Weibull distribution based on Type-I hybrid progressive censoring scheme (Type-I PHCS) in the presence of competing risks when the cause of failure of each item is known. Maximum likelihood estimates and the corresponding Fisher information matrix are obtained. We generalized Kundu and Joarder [7] results in the case of the exponential distribution while, the corresponding results in the case of the generalized exponential and Weibull distributions may be obtained as a special cases. A real data set is used to illustrate the theoretical results.
      PubDate: 2016-03-13
      Issue No: Vol. 4, No. 1 (2016)
  • The relationship between household income and educational level. (south
           Darfur rural areas-Sudan) statistical study

    • Authors: Sofian A. A. Saad, Amin Adam, Afra H. Abdelateef
      Pages: 27 - 30
      Abstract: The main aim of this paper is to find out the relationship between the household level of income and the level of education for the household being lived in southern Darfur state (Sudan) since they were seriously affected by the war conflict and lost most of their income sources. One-way Analyses of Variance (ANOVA) have been used to asses this relation where the independent variable and dependent variables are categorical and continuous respectively. Data gathered from Household survey (HHS) is analyzed. The results indicate the existence of relationship between certain education groups and the level of income, mainly high level of education comparing with the low level.
      PubDate: 2016-03-27
      Issue No: Vol. 4, No. 1 (2016)
  • Binary logistic regression to estimate household income efficiency. (south
           Darfur rural areas-Sudan)

    • Authors: Sofian A. A. Saad, Amin Adam, Afra H. Abdelateef
      Pages: 31 - 35
      Abstract: The main objective behind this study is to find out the main factors that affects the efficiency of household income in Darfur rejoin. The statistical technique of the binary logistic regression has been used to test if there is a significant effect of fife binary explanatory variables against the response variable (income efficiency); sample of size 136 household head is gathered from the relevant population. The outcomes of the study showed that; there is a significant effect of the level of household expenditure on the efficiency of income, beside the size of household also has significant effect on the response variable, the remaining explanatory variables showed no significant effects, those are (household head education level, size of household head own agricultural and numbers of students at school).
      PubDate: 2016-03-29
      Issue No: Vol. 4, No. 1 (2016)
  • Nonparametric Prediction Intervals of generalized order statistics from
           two independent sequences

    • Authors: Mostafa Mohie El-Din, Walid Emam
      Pages: 36 - 46
      Abstract: This paper, discusses the problem of predicting future a generalized order statistic of an iid sequence sample was drawn from an arbitrary unknown distribution, based on observed also generalized order statistics from the same population. The coverage probabilities of these prediction intervals are exact and free of the parent distribution F(). Prediction formulas of ordinary order statistics and upper record values are extracted as special cases from the productive results. Finally, numerical computations on several models of ordered random variables are given to illustrate the proposed procedures.
      PubDate: 2016-03-31
      Issue No: Vol. 4, No. 1 (2016)
  • Comparison of estimates using censored samples from Gompertz model:
           Bayesian, E-Bayesian, hierarchical Bayesian and empirical Bayesian schemes

    • Authors: Hesham Reyad, Adil Mousa Younis, Amal Alsir Alkhedir
      Pages: 47 - 61
      Abstract: This paper aims to introduce a comparative study for the E-Bayesian criteria with three various Bayesian approaches; Bayesian, hierarchical Bayesian and empirical Bayesian. This study is concerned to estimate the shape parameter and the hazard function of the Gompertz distribution based on type-II censoring. All estimators are obtained under symmetric loss function [squared error loss (SELF))] and three different asymmetric loss functions [quadratic loss function (QLF), entropy loss function (ELF) and LINEX loss function (LLF)]. Comparisons among all estimators are achieved in terms of mean square error (MSE) via Monte Carlo simulation.
      PubDate: 2016-04-03
      Issue No: Vol. 4, No. 1 (2016)
  • Quasi-E-Bayesian criteria versus quasi-Bayesian, quasi-hierarchical
           Bayesian and quasi-empirical Bayesian methods for estimating the scale
           parameter of the Erlang distribution

    • Authors: Hesham Reyad, Adil Younis, Amal Alkhedir
      Pages: 62 - 74
      Abstract: This paper proposes a new modification for the E-Bayesian method of estimation to introduce a new technique namely Quasi E-Bayesian method (or briefly QE-Bayesian). The suggested criteria built in replacing the likelihood function by the quasi likelihood function in the E-Bayesian technique. This study is devoted to evaluate the performance of the new method versus the quasi-Bayesian, quasi-hierarchical Bayesian and quasi-empirical Bayesian approaches in estimating the scale parameter of the Erlang distribution. All estimators are obtained under symmetric loss function [squared error loss (SELF))] and four different asymmetric loss functions [Precautionary loss function (PLF), entropy loss function (ELF), Degroot loss function (DLF) and quadratic loss function (QLF)]. The properties of the QE-Bayesian estimates are introduced and the relations between the QE-Bayes and quasi-hierarchical Bayes estimates are discussed. Comparisons among all estimators are performed in terms of mean square error (MSE) via Monte Carlo simulation.
      PubDate: 2016-05-10
      Issue No: Vol. 4, No. 1 (2016)
  • Bayesian estimation of the shape parameter of generalized Rayleigh
           distribution under non-informative prior

    • Authors: Yakubu Aliyu, Abubakar Yahaya
      Pages: 1 - 10
      Abstract: A decade ago, two-parameter Burr Type X distribution was introduced by Surles and Padgett [14] which was described as Generalized Rayleigh Distribution (GRD). This skewed distribution can be used quiet effectively in modelling life time data. In this work, Bayesian estimation of the shape parameter of GRD was considered under the assumption of non-informative prior. The estimates were obtained under the squared error, Entropy and Precautionary loss functions. Extensive Monte Carlo simulations were carried out to compare the performances of the Bayes estimates with that of MLEs. It was observed that the estimate under the Entropy loss function is more stable than the estimates under squared error loss function, Precautionary loss function and MLEs.
      PubDate: 2015-12-28
      Issue No: Vol. 4, No. 1 (2015)
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