Journal of Statistical Theory and Applications

Volume 16, Issue 1, March 2017
Research Article

1. On Marshall-Olkin Extended Weibull Distribution

Hanan Haj Ahmad, Omar M. Bdair, M. Ahsanullah
Pages: 1 - 17
In this paper, we introduce a new form of distributions called ”Marshall-Olkin Extended Weibull distribution” MOEW. We study some of its structural properties and the shape of its hazard rate function. We provide some methods of point estimation for the unknown parameters and discuss its asymptotic properties....
Research Article

2. Characterizations of the Generalized Beta-generated family of distributions

G.G. Hamedani, V. Mameli
Pages: 18 - 25
Several characterizations of Generalized Beta-generated family of distributions, introduced by Alexander et al. (2012), are presented, giving special emphasis to the Kumaraswamy skew-normal distribution and the Beta skew-normal distribution, special cases of this family. These characterizations are based...
Research Article

3. An Efficient Estimation Procedure in Two-Occasion Successive Sampling

G.N. Singh, A.K. Singh
Pages: 26 - 37
In this paper an efficient estimation procedure to estimate the current population mean in two-occasion successive sampling has been developed. An exponential regression type estimator of current population mean is proposed and corresponding optimum replacement strategy has been suggested. The superiority...
Research Article

4. On Some New Results of Poverty Orderings and Their Applications

Mervat Mahdy
Pages: 38 - 52
The paper proposes to derive some new poverty indices which depend on aging classes. We also give some properties of it and show the connection between economic measure and new poverty measures these based on the concept of reversed residual incomes. In addition, the characterization of Pareto distribution...
Research Article

5. Bayesian analysis of hierarchical heteroscedastic linear models using Dirichlet-Laplace priors

S.K. Ghoreishi
Pages: 53 - 64
From practical point of view, in a two-level hierarchical model, the variance of second-level usually has a tendency to change through sub-populations. The existence of this kind of local (or intrinsic ) heteroscedasticity is a major concern in the application of statistical modeling. The main purpose...
Research Article

6. Transmuted Generalized Gompertz distribution with application

Muhammad Shuaib Khan, Irene Lena Hudson, Robert King
Pages: 65 - 80
This paper introduces the four parameter transmuted generalized Gompertz distribution which includes the transmuted Gompertz, transmuted generalized exponential, transmuted exponential, Gompertz, generalized exponential and exponential distributions as special cases and studies its statistical properties....
Research Article

7. A study of methods for estimating in the exponentiated Gumbel distribution

K. Fathi, S.F. Bagheri, M. Alizadeh, M. Alizadeh
Pages: 81 - 95
The exponentiated Gumbel model has been shown to be useful in climate modeling including global warming problem, flood frequency analysis, offshore modeling, rainfall modeling and wind speed modeling. Here, we consider estimation of the PDF and the CDF of the exponentiated Gumbel distribution. The following...
Research Article

8. Optimal Structure (k) Designs for Comparing Test Treatments with a Control

M.A. Chowdhury, S. Mandal, D.K. Ghosh, S.C. Bagui
Pages: 96 - 107
Mukerjee (1979) introduced structure (k) property of a factorial design. In this article, we introduce structure (k1), structure (k2) and structure (k1k2) properties of a factorial design. We establish properties of each of these structure designs in terms of the incidence and characteristic matrices...
Research Article

9. Likelihood Inference in A Multivariate Spatial GLMM with Skew Gaussian Random Effects Using the Slice-SAB Algorithm

Firoozeh Rivaz, Majid Jafari Khaledi
Pages: 108 - 116
This paper introduces a multivariate skew Gaussian process and uses it to extend the family of multivariate spatial generalized linear mixed models to include skew Gaussian random effects. In this setting, the param- eter estimation encounters problems because the likelihood function involves high dimensional...
Research Article

10. Bayesian Analysis of a 3-Component Mixture of Rayleigh Distributions under Type-I Right Censoring Scheme

Muhammad Tahir, Muhammad Aslam, Zawar Hussain
Pages: 117 - 136
Since the last few decades, constructing flexible parametric classes of probability distributions has been the most popular approach in the Bayesian analysis. As compared to simple probability models, a mixture model of some suitable lifetime distributions may be more capable of capturing the heterogeneity...