Journal of Statistical Theory and Applications
Volume 20, Issue 1, March 2021
1. Similarity Measure Based on the Belief Function Theory: Application in a Decision-Making Process
M. Khalaj, F. Khalaj
Pages: 1 - 10
This study considers a new aspect of the belief function theory to define a belief set, which is characterized by truth, uncertainty and falsity belief degrees as a 3D vector representation. Then, based on the implication of a belief set, one of the similarity measures (i.e., Cosine, Jaccard and Dice)...
2. Restricted Empirical Likelihood Estimation for Time Series Autoregressive Models
Mahdieh Bayati, S.K. Ghoreishi, Jingjing Wu
Pages: 11 - 20
In this paper, we first illustrate the restricted empirical likelihood function, as an alternative to the usual empirical likelihood. Then, we use this quasi-empirical likelihood function as a basis for Bayesian analysis of AR(r) time series models. The efficiency of both the posterior computation algorithm,...
3. A Robust High-Dimensional Estimation of Multinomial Mixture Models
Azam Sabbaghi, Farzad Eskandari, Hamid Reza Navabpoor
Pages: 21 - 32
In this paper, we are concerned with a robustifying high-dimensional (RHD) structured estimation in finite mixture of multinomial models. This method has been used in many applications that often involve outliers and data corruption. Thus, we introduce a class of the multinomial logistic mixture models...
4. Statistical Properties and Different Estimation Procedures of Poisson–Lindley Distribution
Mohammed Amine Meraou, Mohammad Z. Raqab
Pages: 33 - 45
In this paper, we propose a new class of distributions by compounding Lindley distributed random variates with the number of variates being zero-truncated Poisson distribution. This model is called a compound zero-truncated Poisson–Lindley distribution with two parameters. Different statistical properties...
5. Construction of Strata for a Model-Based Allocation Under a Superpopulation Model
Bhuwaneshwar Kumar Gupt, Md. Irphan Ahamed
Pages: 46 - 60
This paper considers the problem of optimum stratification for a model-based allocation under a superpopulation model. The equations giving optimum points of stratification have been derived and a few methods for finding approximately optimum points of stratification have been obtained from the equations....
6. On Inference of Overlapping Coefficients in Two Inverse Lomax Populations
Hamza Dhaker, El Hadji Deme, Salah El-Adlouni
Pages: 61 - 75
Overlapping coefficient is a direct measure of similarity between two distributions which is recently becoming very useful. This paper investigates estimation for some well-known measures of overlap, namely Matusita's measure ρ, Weitzman's measure Δ and Λ based on Kullback–Leibler. Two estimation...
7. Generalized Skew Laplace Random Fields: Bayesian Spatial Prediction for Skew and Heavy Tailed Data
Mohammad Mehdi Saber, Alireza Nematollahi, Mohsen Mohammadzadeh
Pages: 76 - 85
Earlier works on spatial prediction issue often assume that the spatial data are realization of Gaussian random field. However, this assumption is not applicable to the skewed and kurtosis distributed data. The closed skew normal distribution has been used in these circumstances. As another alternative,...
8. Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data
Caner Tanış, Buğra Saraçoğlu, Coşkun Kuş, Ahmet Pekgör, Kadir Karakaya
Pages: 86 - 96
This paper introduces a new lifetime distribution by mixing the first two lower record values and various distributional properties are examined. Statistical inference on distribution parameters are discussed with five estimators. A Monte Carlo simulation study is carried out to evaluate the risk behavior...
9. On Seemingly Unrelated Regression Model with Skew Error
Omid Akhgari, Mousa Golalizadeh
Pages: 97 - 110
Sometimes, invoking a single causal relationship to explain dependency between variables might not be appropriate particularly in some economic problems. Instead, two jointly related equations, where one of the explanatory variables is endogenous, can represent the actual inheritance inter-relationship...
10. A Note on Generalization of the Simplest Time-Dependent Discrete Markov Process: Linear Growth Process With Immigration-Emigration
Bijoy Kumar Pradhan, Priyaranjan Dash, Upasana
Pages: 111 - 131
Lineargrowth process with immigration and emigration is the general model in the study of population in biological and ecological systems, and their transient analysis is the most important factor in the understanding of the structural behavior of such systems. The probability-generating function π(z,...
11. Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions
M. A. Ali, Haseeb Athar
Pages: 132 - 148
This study introduces generalized transmuted family of distributions. We investigate the special cases of our generalized transmuted distribution to match with some other generalization available in literature. The transmuted distributions are applied to Weibull distribution to find generalized rank...
12. Bayesian Estimation of System Reliability Models Using Monte-Carlo Technique of Simulation
Kirti Arekar, Rinku Jain, Surender Kumar
Pages: 149 - 163
This paper discusses the problem of how Monte-Carlo simulation method is deal with Bayesian estimation of reliability of system of n s-independent two-state component. Time-to-failure for each component is assumed to have Weibull distribution with different parameters for each component. The shape parameter...