Journal of Statistical Theory and Applications

Volume 19, Issue 1, March 2020
Research Article

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

Majid Hashempour, Mahdi Doostparast
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...
Research Article

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

Doo Young Kim, Chris P. Tsokos
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

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

Masoumeh Akbari, Mahboubeh Akbari
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

4. On a Class of Almost Unbiased Ratio Type Estimators

A.K.P.C. Swain, Priyaranjan Dash
Pages: 28 - 35
In sample surveys ratio estimator has found extensive applications to obtain more precise estimators of the population ratio, population mean, and population total of the study variable in the presence of auxiliary information, when the study variable is positively correlated with the auxiliary variable....
Research Article

5. 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
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

6. Finite Mixture Modeling via Skew-Laplace Birnbaum–Saunders Distribution

Mehrdad Naderi, Mahdieh Mozafari, Kheirolah Okhli
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

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

Mustafa Ç. Korkmaz, Emrah Altun, Haitham M. Yousof, G. G. Hamedani
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

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

Mervat Mahdy, Dina Samir
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

9. Fuzzy C-Means Clustering Using Asymmetric Loss Function

Israa Abdzaid Atiyah, Adel Mohammadpour, Narges Ahmadzadehgoli, S. Mahmoud Taheri
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

10. A New Flexible Discrete Distribution with Applications to Count Data

Anwar Hassan, Gulzar Ahmad Shalbaf, Sheikh Bilal, Adil Rashid
Pages: 102 - 108
In this paper we have explored a new discrete probability mass function that has been generated through compounding mechanism. This newly proposed probability mass function is essentially a mixture of Poisson and Ailamujia distribution. Furthermore the parameter estimation has also been discussed by...
Research Article

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

A. Adatia, A.K.MD. Ehsanes Saleh
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...