Journal of Statistical Theory and Applications

Volume 12, Issue 1, May 2013
Review Article

1. Preservation of Classes of Discrete Distributions Under Reliability Operations

I. Elbatal, M. Ahsanullah
Pages: 1 - 10
In this paper we consider some widely utilized classes of discrete distributions and aim to provide a systematic overview about their preservation under convolution. This paper will serve as a detailed reference for the study and applications of the preservation of the discrete NBU(2), NBUCA classes...
Research Article

2. Characterizations of Certain Recently Introduced Distributions

G.G. Hamedani
Pages: 11 - 20
Various characterizations of the Beta Weibull Geometric distribution of Bidram et al. (2011), the New Generalized Exponential distribution of Bidram et al. (2012), and the Gamma Exponentiated Weibull distribution of Pinho et al. (2012) are presented. These characterizations are based on: (i) a simple...
Research Article

3. On the Generalized Hill Process for Small Parameters and Applications

Gane Samb Lo, El Hadji Deme, Aliou Diop
Pages: 21 - 38
Research Article

4. A New Lifetime Model: The Gamma Extended Fréchet Distribution

Ronaldo V. da Silva, Thiago A.N. de Andrade, Diego B.M. Maciel, Renilma P. S. Campos, Gauss M. Cordeiro
Pages: 39 - 54
For the first time, a four-parameter lifetime model, called the gamma extended Fr´echet distribution, is defined and studied. We obtain some of its mathematical properties. Explicit expressions for the ordinary and incomplete moments, quantile function, mean deviations, R´enyi entropy and reliability...
Research Article

5. A Symmetric Component Alpha Normal Slash Distribution: Properties and Inferences

Wenhao Gui, Pei-Hua Chen, Haiyan Wu
Pages: 55 - 66
In this paper, we introduce a new class of symmetric bimodal distribution. We define the distribution by means of a stochastic representation as the mixture of a symmetric component alpha normal random variable with respect to the power of a uniform random variable. The proposed distribution is more...
Research Article

6. Prediction Intervals for k-records in Terms of Current Records

M. Chahkandi, J. Ahmadi
Pages: 67 - 82
In this paper, we discuss the prediction of k-records from the future sequence based on observed current records of either kind upper or lower, record coverage and k-records from the same distribution. It is shown that the coverage probability of all proposed prediction intervals are distribution-free....
Research Article

7. On Some Predictive Ratio Type Estimators in Two Stage Sampling

A.K.P.C. Swain, Sitanshu Shekhar Mishra, B.K. Pradhan
Pages: 83 - 91
Some predictive ratio type estimators in two stage sampling are derived following the model free predictive criterion proposed by Basu (1971) and these estimators are compared with the classical multistage ratio estimator and also with Smith’s (1969) multistage ratio estimator. A numerical illustration...
Research Article

8. Multiplicative-Binomial Distribution: Some Results on Characterization, Inference and Random Data Generation

Elsayed A.H. Elamir
Pages: 92 - 105
Multiplicative-binomial distribution is one of the distributions that allows for over-dispersion and under-dispersion relative to the standard binomial distribution. It will be shown that the multiplicative-binomial distribution can be a very useful model for these situations. Moreover, the confidence...
Research Article

9. New classes at Specific Age: Properties and Testing hypotheses

M.A.W. Mahmoud, M.E. Moshref, A.M. Gadallah, A.I. Shawky
Pages: 106 - 119
In this article we introduce new classes of life distributions namely new better (worse) than used in expectation at specific age t0 NBUE-t0 (NWUE-t0) and harmonic new better (worse) than used in expectation at specific age t0 HNBUE-t0 (HNWUE-t0). The closure properties under various reliability operations...
Research Article

10. On Discrete Residual and Past Measures of Inaccuracy

Vikas Kumar, Richa Thapliyal, H.C. Taneja
Pages: 120 - 128
The present communication considers a discrete dynamic measure of inaccuracy between two residual and past lifetime distributions. Under the assumption that the true distribution F and reference distribution G satisfy the proportional hazard model (PHM) and proportional reversed hazard model (PRHM),...