Journal of Statistical Theory and Applications

Volume 19, Issue 2, June 2020
Research Article

1. Robust Mixture Regression Based on the Mixture of Slash Distributions

Hadi Saboori, Ghobad Barmalzan, Mahdi Doostparast
Pages: 118 - 132
The traditional estimation of Mixture regression models is based on the normal assumption of component errors and thus is sensitive to outliers and heavy-tailed errors. In this paper, we propose a robust Mixture regression models in which a mixture of slash distributions is assumed for the errors. Using...
Research Article

2. Modeling Vehicle Insurance Loss Data Using a New Member of T-X Family of Distributions

Zubair Ahmad, Eisa Mahmoudi, Sanku Dey, Saima K. Khosa
Pages: 133 - 147
In actuarial literature, we come across a diverse range of probability distributions for fitting insurance loss data. Popular distributions are lognormal, log-t, various versions of Pareto, log-logistic, Weibull, gamma and its variants and a generalized beta of the second kind, among others. In this...
Research Article

3. Empirical Estimation for Sparse Double-Heteroscedastic Hierarchical Normal Models

Vida Shantia, S. K. Ghoreishi
Pages: 148 - 161
The available heteroscedastic hierarchical models perform well for a wide range of real-world data, but for the data sets which exhibit heteroscedasticity mainly due to the lack of constant means rather than unequal variances, the existing models tend to overestimate the variance of the second level...
Research Article

4. An Asymptotic Two-Sided Test in a Family of Multivariate Distribution

Abouzar Bazyari, Mahmoud Afshari, Monjed H. Samuh
Pages: 162 - 172
In the present paper, a two-sided test in a family of multivariate distribution according to the Mahalanobis distance with mean vector and positive definite matrix is considered. First, a family of multivariate distribution is introduced, then using the likelihood ratio method a test statistic is computed....
Research Article

5. Bayesian Analysis of Misclassified Generalized Power Series Distributions Under Different Loss Functions

Peer Bilal Ahmad
Pages: 173 - 184
In certain experimental investigations involving discrete distributions external factors may induce measurement error in the form of misclassification. For instance, a situation may arise where certain values are erroneously reported; such a situation termed as modified or misclassified has been studied...
Research Article

6. Generalized Chain Exponential-Type Estimators under Stratified Two-Phase Sampling with Subsampling the Nonrespondents

Aamir Sanaullah, Muhammad Hanif
Pages: 185 - 195
In this paper some generalized exponential-type chain estimators have been proposed for the finite population mean in the presence of nonresponse under stratified two-phase sampling when mean of another auxiliary variable is readily available. The expressions for the bias and mean square error of proposed...
Research Article

7. A 3-Component Mixture of Exponential Distribution Assuming Doubly Censored Data: Properties and Bayesian Estimation

Muhammad Tahir, Muhammad Aslam, Muhammad Abid, Sajid Ali, Mohammad Ahsanullah
Pages: 197 - 211
The output of an engineering process is the result of several inputs, which may be homogeneous or heterogeneous and to study them, we need a model which should be flexible enough to summarize efficiently the nature of such processes. As compared to simple models, mixture models of underlying lifetime...
Research Article

8. Measure of Departure from Marginal Homogeneity for the Analysis of Collapsed Square Contingency Tables with Ordered Categories

Kouji Yamamoto, Itsumi Iwama, Sadao Tomizawa
Pages: 212 - 222
For square contingency tables with ordered categories, there would be some situations that one would like to analyze them by using collapsed 3×3 tables combining some adjacent categories in the original table. This paper considers the marginal homogeneity for collapsed tables and proposes a measure which...
Research Article

9. Marshall–Olkin Power Generalized Weibull Distribution with Applications in Engineering and Medicine

Ahmed Z. Afify, Devendra Kumar, I. Elbatal
Pages: 223 - 237
This paper proposes a new flexible four-parameter model called Marshall–Olkin power generalized Weibull (MOPGW) distribution which provides symmetrical, reversed-J shaped, left-skewed and right-skewed densities, and bathtub, unimodal, increasing, constant, decreasing, J shaped, and reversed-J shaped...
Research Article

10. Comparing Two Means Using Partially Paired and Unpaired Data

Nizam Uddin, Mohamad S. Hasan
Pages: 238 - 247
A new test statistic is proposed to test the equality of two normal means when the data is partially paired and partially unpaired. The test statistic is based on a linear combination of the differences of both paired and unpaired sample means. Using t-distribution as the approximate null distribution,...
Research Article

11. Tests for Comparing Several Two-Parameter Exponential Distributions Based on Uncensored/Censored Samples

K. Krishnamoorthy, Thu Nguyen, Yongli Sang
Pages: 248 - 260
The problems of comparing several exponential distributions based on type II censored samples are considered. Likelihood ratio tests (LRTs) for comparing several location parameters, comparing several scale parameters and for homogeneity of distributions are derived. The LRTs for all three problems are...
Research Article

12. Properties of Shannon Entropy for Double Truncated Random Variables and its Applications

Rajesh Moharana, Suchandan Kayal
Pages: 261 - 273
Doubly truncated data are sometimes encountered in several applications, mainly in survival and astronomical data analysis. This occurs when the data falls between two points. In this study, we focus on the Shannon entropy measure of doubly truncated random variables. We propose ordering and various...
Research Article

13. The Exponentiated Poisson-Exponential Distribution: A Distribution with Increasing, Decreasing and Bathtub Failure Rate

Francisco Louzada, Vicente G. Cancho, Paulo H. Ferreira
Pages: 274 - 285
In this paper we propose a new three-parameters lifetime distribution with increasing, decreasing and bathtub failure rate depending on its parameters. The properties of the proposed distribution are discussed, including explicit algebraic formulae for its reliability and failure rate functions, quantiles...
Research Article

14. On the Probabilistic Latent Semantic Analysis Generalization as the Singular Value Decomposition Probabilistic Image

Pau Figuera Vinué, Pablo García Bringas
Pages: 286 - 296
The Probabilistic Latent Semantic Analysis has been related with the Singular Value Decomposition. Several problems occur when this comparative is done. Data class restrictions and the existence of several local optima mask the relation, being a formal analogy without any real significance. Moreover,...
Research Article

15. Exponentiated Power Function Distribution: Properties and Applications

Muhammad Zeshan Arshad, Muhammad Zafar Iqbal, Munir Ahmad
Pages: 297 - 313
In this study, we have focused to propose a flexible model that demonstrates increasing, decreasing and upside-down bathtub-shaped density and failure rate functions. The proposed model refers to as the exponentiated power function (EPF) distribution. Some mathematical and reliability measures are developed...
Research Article

16. Construction of Some Circular Regular Graph Designs in Blocks of Size Four Using Cyclic Shifts

Rashid Ahmed, Farrukh Shehzad, Muhammad Jamil, H. M. Kashif Rasheed
Pages: 314 - 324
Circular regular graph designs play an important role in the design of experiments where most of the balanced incomplete block designs require a large number of blocks. In this article, circular regular graph designs are constructed in blocks of size four through cyclic shifts. Without studying the complete...
Research Article

17. Multivariate Escher Transformed Laplace Distribution and Its Generalization

H Rimsha, Dais George
Pages: 325 - 331
This paper we introduced a new distribution namely the multivariate Esscher transformed Laplace distribution. Various properties of the distribution are studied and the applications are discussed. Further we develop an autoregressive process with multivariate ETL marginal and study its properties. A...
Research Article

18. Behavior of OC Curve of Generalized Exponentiated Data

Anwar Hassan, Mehraj Ahmad, Najmus Saquib Hassan
Pages: 332 - 341
In this paper a generalized exponential distribution is considered for analyzing left-censored lifetime data as such mechanisms are applicable when the observations become available in an ordered manner with some cases where the origin and the event both occur prior to the start of follow-up. In the...