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 International Journal of Advanced Mathematical Sciences   [1 followers]  Follow       Open Access journal    ISSN (Print) 2307-454X - ISSN (Online) 2307-454X    Published by Science Publishing Corporation  [12 journals]
• Operations on covering numbers of certain graph classes

• Authors: Susanth Chandoor, Sunny Joseph Kalayathankal
Pages: 1 - 3
Abstract: The bounds on the sum and product of chromatic numbers of a graph and its complement are known as Nordhaus-Gaddum inequalities. In a similar way, the operations on the covering numbers of graphs with their complement are studied and with respect to this, new characterizations of certain graph classes have also been given in this paper.
PubDate: 2016-01-21
Issue No: Vol. 4, No. 1 (2016)

• Fourier Coefficients of a Class of Eta Quotients of Weight 4

• Pages: 4 - 9
Abstract: Recently, there have been several works on the coefficients of the Fourier series expansions of a class of eta quotients by Williams, Yao, Xia and Jin, Kendirli, and Alaca. Some important explicit formulas have been discovered. Williams expressed all coefficients of one hundred and twenty-six eta quotients in terms of  and  and Yao, Xia and Jin, following the method of proof of Williams, expressed only even coefficients of one hundred and four eta quotients in terms of  and  The author has expressed the even and odd coefficients of the Fourier series expansions of a class of eta quotients in terms of  and  for  Meanwhile, Alaca has obtained the coefficients of the Fourier series expansions of a class of eta quotients in  in terms of  and  Here, we will express the coefficients of the Fourier series expansions of a class of eta quotients in  in terms of  and Fourier coefficients of the four eta quotients.
PubDate: 2016-02-02
Issue No: Vol. 4, No. 1 (2016)

• Bayesian and E-Bayesian estimation for the Kumaraswamy distribution based
on type-ii censoring

• Authors: Hesham Reyad, Soha Othman Ahmed
Pages: 10 - 17
Abstract: This paper introduces the Bayesian and E-Bayesian estimation for the shape parameter of the Kumaraswamy distribution based on type-II censored schemes. These estimators are derived under symmetric loss function [squared error loss (SELF))] and three asymmetric loss functions [LINEX loss function (LLF), Degroot loss function (DLF) and Quadratic loss function (QLF)]. Monte Carlo simulation is performed to compare the E-Bayesian estimators with the associated Bayesian estimators in terms of Mean Square Error (MSE).
PubDate: 2016-03-05
Issue No: Vol. 4, No. 1 (2016)

• Generalized free Gaussian white noise

• Authors: Hakeem Othman
Pages: 18 - 20
Abstract: Based on an adequate new Gel'fand triple,  we construct the infinite dimensional free Gaussian white noise measure $$\mu$$ using the Bochner-Minlos theorem. Next, we give the chaos decomposition of an $$L^{2}$$ space with respect to the measure $$\mu$$.
PubDate: 2016-03-27
Issue No: Vol. 4, No. 1 (2016)

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