Journal of Statistical Theory and Applications

Volume 12, Issue 3, September 2013
Review Article

1. On a Comparison of Tests of Homogeneity of Binomial Proportions

Martin Klein, Peter Linton
Pages: 208 - 224
There are multiple tests of homogeneity of binomial proportions in the statistics literature. However, when working with sparse data, most test procedures may fail to perform well. In this article we review nine classical and recent testing procedures, including the standard Pearson and likelihood ratio...
Research Article

2. The Zografos-Balakrishnan Log-Logistic Distribution: Properties and Applications

Manoel Wallace A. Ramos, Gauss M. Cordeiro, Pedro Rafael D. Marinho, Cicero Rafael B. Dias, G.G. Hamedani
Pages: 225 - 244
The log-logistic distribution (also known as the Fisk distribution in economics) is widely used in survival analysis when the failure rate function presents a unimodal shape. In this paper, we introduce the Zografos- Balakrishnan log-logistic distribution, which contains the log-logistic distribution...
Research Article

3. Parameters Estimation in a General Failure Rate Semi-Markov Reliability Model

M. Fathizadeh, K. Khorshidian
Pages: 245 - 252
A semi-Markov process with four states, has been applied for modeling two dissimilar unit cold standby systems. At the moment that operating unit fails, the standby unit is switched to operate by using a switching device that is available with unknown probability alpha1. It is also assumed that the failure...
Research Article

4. On Estimating Residual Heterogeneity in Random-Effects Meta-Regression: A Comparative Study

Thammarat Panityakul, Chinnaphong Bumrungsup, Guido Knapp
Pages: 253 - 265
We consider six different estimators of residual heterogeneity in random-effects meta-regression, five estimators already known and implemented in the R package metaphor and one estimator not yet considered in random-effects meta-regression. In a numerical study, we investigate the properties of these...
Research Article

5. Planning Accelerated Life Tests for Burr Type X Failure Model with Type I Censoring

Nesar Ahmad, Sabiha Khan, M.G.M. Khan
Pages: 266 - 287
In this paper, we discuss the optimal accelerated life test plans for Burr type X distribution with log-linear model under periodic inspection and Type I censoring. We obtain the maximum likelihood estimators, the Fisher information and the asymptotic covariance matrix of the maximum likelihood estimators....
Research Article

6. Quantile regression in high-dimension with breaking

Gabriela Ciuperca
Pages: 288 - 305
The paper considers a linear regression model in high-dimension for which the predictive variables can change the influence on the response variable at unknown times (called change-points). Moreover, the particular case of the heavy-tailed errors is considered. In this case, least square method with...
Research Article

7. Bonferroni and Gini Indices and Recurrence Relations for Moments of Progressive Type-II Right Censored Order Statistics from Marshall-Olkin Exponential Distribution

Narinder Pushkarna, Jagdish Saran, Rashmi Tiwari
Pages: 306 - 320
In this paper, we derive explicit expressions for Bonferroni Curve (BC), Bonferroni index (BI), Lorenz Curve (LC) and Gini index (GI) for the Marshall-Olikn Exponential (MOE) distribution, which have mainly concern with some aspects like poverty, welfare, decomposability, reliability, sampling and inference.We...