Journal of Statistical Theory and Applications

Latest Articles

Research Article

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
Volume 19, Issue 2, June 2020, 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

Exponentiated Power Function Distribution: Properties and Applications

Muhammad Zeshan Arshad, Muhammad Zafar Iqbal, Munir Ahmad
Volume 19, Issue 2, June 2020, 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

Comparing Two Means Using Partially Paired and Unpaired Data

Nizam Uddin, Mohamad S. Hasan
Volume 19, Issue 2, June 2020, 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

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

K. Krishnamoorthy, Thu Nguyen, Yongli Sang
Volume 19, Issue 2, June 2020, 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

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

Pau Figuera Vinué, Pablo García Bringas
Volume 19, Issue 2, June 2020, 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

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

Francisco Louzada, Vicente G. Cancho, Paulo H. Ferreira
Volume 19, Issue 2, June 2020, 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

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

Rajesh Moharana, Suchandan Kayal
Volume 19, Issue 2, June 2020, 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

Empirical Estimation for Sparse Double-Heteroscedastic Hierarchical Normal Models

Vida Shantia, S. K. Ghoreishi
Volume 19, Issue 2, June 2020, 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

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

Zubair Ahmad, Eisa Mahmoudi, Sanku Dey, Saima K. Khosa
Volume 19, Issue 2, June 2020, 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

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

Abouzar Bazyari, Mahmoud Afshari, Monjed H. Samuh
In Press, Uncorrected Proof, Available Online: 26 May 2020
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

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

Kouji Yamamoto, Itsumi Iwama, Sadao Tomizawa
Volume 19, Issue 2, June 2020, 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

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

Peer Bilal Ahmad
Volume 19, Issue 2, June 2020, 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

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

Aamir Sanaullah, Muhammad Hanif
Volume 19, Issue 2, June 2020, 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

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

Ahmed Z. Afify, Devendra Kumar, I. Elbatal
Volume 19, Issue 2, June 2020, 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

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
Volume 19, Issue 2, June 2020, 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

Robust Mixture Regression Based on the Mixture of Slash Distributions

Hadi Saboori, Ghobad Barmalzan, Mahdi Doostparast
Volume 19, Issue 2, June 2020, 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

The Hjorth's IDB Generator of Distributions: Properties, Characterizations, Regression Modeling and Applications

Mustafa Ç. Korkmaz, Emrah Altun, Haitham M. Yousof, G. G. Hamedani
Volume 19, Issue 1, March 2020, Pages 59-74
We introduce a new flexible class of continuous distributions via the Hjorth's IDB model. We provide some mathematical properties of the new family. Characterizations based on two truncated moments, conditional expectation as well as in terms of the hazard function are presented. The maximum likelihood...
Research Article

Sample Design and Estimation of Parameters of Half Logistic Distribution Using Generalized Ranked-Set Sampling

A. Adatia, A.K.MD. Ehsanes Saleh
Volume 19, Issue 1, March 2020, Pages 109-117
The ranked-set sampling technique has been generalized so that a more efficient estimator may be obtained. This technique allows more than one unit from each set to be quantified. Consequently, the number of units to be sampled may be reduced significantly and as a result, the corresponding cost would...
Research Article

Fuzzy C-Means Clustering Using Asymmetric Loss Function

Israa Abdzaid Atiyah, Adel Mohammadpour, Narges Ahmadzadehgol, S. Mahmoud Taheri
Volume 19, Issue 1, March 2020, Pages 91-101
In this work, a fuzzy clustering algorithm is proposed based on the asymmetric loss function instead of the usual symmetric dissimilarities. Linear Exponential (LINEX) loss function is a commonly used asymmetric loss function, which is considered in this paper. We prove that the negative likelihood of...
Research Article

Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental Applications

Mervat Mahdy, Dina Samir
Volume 19, Issue 1, March 2020, Pages 75-90
In this article, a selection of Nakagami distribution is investigated. Some properties of the model with some plots of the density function are illustrated. Additionally, weighted of the one-sided Gaussian distribution, Generalized Rayleigh distribution are discussed as a special case of Generalized...
Research Article

Finite Mixture Modeling via Skew-Laplace Birnbaum–Saunders Distribution

Mehrdad Naderi, Mahdieh Mozafari, Kheirolah Okhli
Volume 19, Issue 1, March 2020, Pages 49-58
Finite mixture model is a widely acknowledged model-based clustering method for analyzing data. In this paper, a new finite mixture model via an extension of Birnbaum–Saunders distribution is introduced. The new mixture model provide a useful generalization of the heavy-tailed lifetime model since the...
Research Article

Prediction for Progressively Type-II Censored Competing Risks Data from the Half-Logistic Distribution

Essam K. AL-Hussaini, Alaa H. Abdel-Hamid, Atef F. Hashem
Volume 19, Issue 1, March 2020, Pages 36-48
Point and interval predictions of the s-th order statistic in a future sample are discussed. The informative sample is assumed to be drawn from a general class of distributions which includes, among others, Weibull, compound Weibull, Pareto, Gompertz and half-logistic distributions. The informative and...
Research Article

A Stochastic Approach in Modeling of Regional Atmospheric CO2 in the United States

Doo Young Kim, Chris P. Tsokos
Volume 19, Issue 1, March 2020, Pages 10-20
Global warming is a function of two main contributable entities in the atmosphere, carbon dioxide, and atmospheric temperature. The objective of this study is to develop a statistical model using actual fossil fuel carbon dioxide emissions data from the United States to predict relative probability of...
Research Article

Some Applications of Near-Order Statistics in Two-Parameter Exponential Distribution

Masoumeh Akbari, Mahboubeh Akbari
Volume 19, Issue 1, March 2020, Pages 21-27
In this paper, some characterization results for exponential distribution are established. The results are concluded in terms of number of observations near of order statistics. It is shown that its probability mass function and its first moment can characterize the exponential distribution. Also, an...
Research Article

Dynamic Systems with Baseline Exponential Distribution Based on Sequential Order Statistics Under a Power Trend for Hazard Rates

Majid Hashempour, Mahdi Doostparast
Volume 19, Issue 1, March 2020, Pages 1-9
This paper deals with analyzing dynamic engineering systems consisting of independent components. The failure of a components causes more load on the surviving components. This property is modeled by a power trend conditionally proportional hazard rates. For modeling system lifetimes, the theory of sequential...