Journal of Statistical Theory and Applications

Volume 14, Issue 2, June 2015
Research Article

1. Bayesian Estimation Based on Progressively Type-II Censored Samples from Compound Rayleigh Distribution

Rashad Mohamed EL-Sagheer, Mohamed Ahsanullah
Pages: 107 - 122
This paper considers inference under progressive type-II censoring scheme with a compound Rayleigh failure time distribution. The maximum likelihood (ML) and the Bayes estimators for the two unknown parameters of the compound Rayleigh distribution (CRD) distribution are derived. A Bayesian approach using...
Research Article

2. Recurrence Relations for Single and Product Moments of Dual Generalized Order Statistics from a General Class of Distributions

Jagdish Saran, Narinder Pushkarna, Rashmi Tiwari
Pages: 123 - 130
In this paper we derive some general recurrence relations between single and product moments of dual gener- alized order statistics from a general class of distributions, thus generalizing and unifying the earlier results in this direction due to several authors.
Research Article

3. On Some Nonparametric Tests For Partially Observed Correlated Data: Proposing New Tests

Hani M. Samawi, Lili Yu, Robert Vogel
Pages: 131 - 155
Correlated or matched data is frequently collected under many study designs in applied sciences such as the social, behavioral, economic, biological, medical, epidemiologic, health, public health, and drug developmental sciences in order to have more efficient design and to control for potential confounding...
Research Article

4. Bayesian test of independence and conditional independence of two ordinal variables

Zahra Saberi, Mojtab Ganjali
Pages: 156 - 168
For analysis of contingency tables with large sample size, classical approaches using approximate methods have high power. However, when the sample size is small or some cells have frequencies less than 5, classical approaches are so conservative. Also asymptotic behavior may be poor when the table contains...
Research Article

5. On the Weibull-X family of distributions

Ayman Alzaatreh, Indranil Ghosh
Pages: 169 - 183
In this paper, the Weibull-X family is proposed and some of its properties are discussed. A member of the Weibull-X family, the Weibull-logistic distribution, is defined and studied. Various properties of the Weibulllogistic distribution are obtained. The distribution is found to be unimodal and the...
Research Article

6. Expectation Identities of Generalized Order Statistics from Marshall-Olkin Extended Uniform Distribution and its Characterization

Haseeb Athar, Nayabuddin
Pages: 184 - 191
The Marshall-Olkin extended uniform distribution is introduced and studied by Jose and Krishna (2011). In this paper some moments properties of generalized order statistics (gos) for this distribution are investigated and results are deduced for order statistics and record values. In the last section,...
Research Article

7. Estimating Per Capita Rates Using Aggregate Measurements From Groups of Diverse Compositions

Donald N. Stengel, Priscilla Chaffe-Stengel
Pages: 192 - 203
This paper considers the problem of estimating a variable mean for a population of elements where data are only available as aggregate sums for groups of multiple elements. The proposed model addresses an additional complication created when the group measure includes the contribution of diverse elements...
Research Article

8. Shrinkage estimates for multi-level heteroscedastic hierarchical normal linear models

S.K. Ghoreishi, A. Mostafavinia
Pages: 204 - 213
Empirical Bayes approach is an attractive method for estimating hyperparameters in hierarchical models. But, under the assumption of normality for a multi-level heteroscedastic hierarchical model, which involves several explanatory variables, the analyst may often wonder whether the shrinkage estimators...
Research Article

9. Study of Dual to Ratio-Cum-Product Estimator of Finite Population Mean under Double Sampling in Sample Surveys

Sanjib Choudhury, Bhupendra Kumar Singh
Pages: 214 - 221
A class of estimator based on dual to ratio and dual to product-type estimator in double sampling for estimating finite population mean is proposed. The bias and mean square error of the proposed estimator are obtained in two different cases. A comparative study has been made with usual estimators, dual...