Journal of Statistical Theory and Applications

Volume 12, Issue 4, December 2013
Research Article

1. Characterizations of probability distributions via bivariate regression of generalized order statistics

M.S. Kotb, M. Ahsanullah
Pages: 321 - 329
Let Xi,n,m,k, i = 1, ...,n are n generalized order statistics (gos) based on an absolutely continuous distribution function F. Suppose that ? (x) is an absolutely continuous and monotonically increasing function in (a,b), ???a
Research Article

2. The Log-Beta Generalized Half-Normal Regression Model

Rodrigo R. Pescim, Edwin M.M. Ortega, Gauss M. Cordeiro, Clarice G.B. Demtrio, G.G. Hamedani
Pages: 330 - 347
We introduce a log-linear regression model based on the beta generalized half-normal distribution (Pescim et al., 2010).We formulate and develop a log-linear model using a new distribution so-called the log-beta general- ized half normal distribution.We derive expansions for the cumulative distribution...
Research Article

3. Wrapped Geometric Distribution: A new Probability Model for Circular Data

Sophy Jacob, K. Jayakumar
Pages: 348 - 355
We propose a new family of circular distributions, obtained by wrapping geometric distribution on Z+ = 0, 1, . . ., around a unit circle. The properties of this new family of distributions are studied.
Research Article

4. Bayesian Inference on the Generalized Gamma Distribution Based on Generalized Order Statistics

M. Maswadah, Ali M. Seham, M. Ahsanullah
Pages: 356 - 377
In this paper, the confidence intervals for the generalized gamma distribution parameters are derived based on the Bayesian approach using the informative and non-informative priors and the classical approach, via the Asymptotic Maximum likelihood estimation, based on the generalized order statistics....
Research Article

5. Beta-Cauchy Distribution: Some Properties and Applications

Etaf Alshawarbeh, Felix Famoye, Carl Lee
Pages: 378 - 391
Some properties of the four-parameter beta-Cauchy distribution such as the mean deviation and Shannon’s entropy are obtained. The method of maximum likelihood is proposed to estimate the parameters of the distribution. A simulation study is carried out to assess the performance of the maximum likelihood...
Research Article

6. Interval Mapping Using Nonparametric Accelerated Failure Time Cure Model

Devrim Bilgili, Nader Ebrahimi
Pages: 392 - 402
Many important problems in evolutionary biology begin with observations of phenotypic variation. Suppose time to an event-data are used to map quantitative trait loci (QTL) and underlying population is a mixture of susceptible and non-susceptible subjects. If the cured subjects are ignored we may fail...
Research Article

7. Assessment of Non-Response under Ratio Method of Imputation in Two- Occasion Successive Sampling

G.N. Singh, D. Majhi, S. Prasad, F. Homa
Pages: 403 - 418
This paper considers the problem of estimation of the population mean of the study character under ratio method of imputation when some observations in the sample data are missing at random and the information on an auxiliary variable is readily available on both the occasions in two-occasion successive...
Research Article

8. Bayesian Estimation in Some Power Series Distributions

Anwar Hassan, Peer Bilal Ahmad, Anwar H. Joarder
Pages: 419 - 427
In this paper, we study the Bayesian estimation of functions of parameters of some power series distributions. These estimators are better than the classical minimum variance unbiased estimators (MVUE) as given by Patil and Joshi (1970), in the sense that these increase the range of the estimation and...