Journal of Statistical Theory and Applications

Volume 20, Issue 2, June 2021
Research Article

1. Periodically Correlated Space-Time Autoregressive Hilbertian Processes

M. Hashemi, J. Mateu, A. Zamani
Pages: 164 - 170
In this paper, we introduce periodically correlated space-time autoregressive processes with values in Hilbert spaces. The existence conditions and the strong law of large numbers are established. Moreover, we present an estimator for the autocorrelation parameter of such processes.
Research Article

2. Relationships for Moments of Generalized Order Statistics from Hjorth Distribution and Related Inference

Jagdish Saran, Kanika Verma, Narinder Pushkarna
Pages: 171 - 179
In this paper some recurrence relations satisfied by single and product moments of generalized order statistics from Hjorth distribution have been obtained. Then we use these results to compute the first two moments of order statistics for some specific values of the parameters. Further, we use the results...
Research Article

3. A Repairable System Supported by Two Spare Units and Serviced by Two Types of Repairers

Vahid Andalib, Jyotirmoy Sarkar
Pages: 180 - 192
We study a one-unit repairable system, supported by two identical spare units on cold standby, and serviced by two types of repairers. The model applies, for instance, to ANSI (American National Standard Institute) centrifugal pumps in a chemical plant, and hydraulic systems in aviation industry. The...
Research Article

4. Dependence Concepts and Reliability Application of Concomitants of Order Statistics from the Morgenstern Family

Johny Scaria, Sithara Mohan
Pages: 193 - 203
The distribution theory and applications of concomitants from the Morgenstern family of bivariate distributions are discussed in Scaria and Nair, Biom. J. 41 (1999), 483–489. In the present study, some dependence concepts of concomitants of order statistics from the Morgenstern family are discussed....
Research Article

5. On Finite 3-Component Mixture of Rayleigh Distributions: A Classical Look

Muhammad Tahir, Muhammad Ahsanullah, Sidra Mohsin, Muhammad Abid
Pages: 204 - 218
In this study, we have discussed various statistical properties for 3-component mixture of Rayleigh distributions. Here initially, the main properties of mixture distributions are presented and analyzed. Second, some of the famous entropies, measures of inequality are also discussed. Also, the statistical...
Research Article

6. An Alternative Measures of Moments Skewness Kurtosis and JB Test of Normality

Md. Siraj-Ud-Doulah
Pages: 219 - 227
If we know the statistics of central tendency and dispersion, we still cannot nature a complete design about the distribution. About these measures we should know more information's of skewness and kurtosis, which are enables us to have a design the distribution. However, there is evidence that...
Research Article

7. The Odd Log-Logistic Burr-X Family of Distributions: Properties and Applications

Hamid Karamikabir, Mahmoud Afshari, Morad Alizadeh, Haitham M. Yousof
Pages: 228 - 241
In this paper, a new class of distributions called the odd log-logistic Burr-X family with two extra positive parameters is introduced and studied. The new generator extends the odd log-logistic and Burr X distributions among several other well-known distributions. We provide some mathematical properties...
Research Article

8. Optimum Ridge Regression Parameter Using R-Squared of Prediction as a Criterion for Regression Analysis

Akbar Irandoukht
Pages: 242 - 250
The presence of the multicollinearity problem in the predictor data causes the variance of the ordinary linear regression coefficients to be increased so that the prediction power of the model not to be satisfied and sometimes unacceptable results be predicted. The ridge regression has been proposed...
Research Article

9. Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference

Bushra Khatoon, M. J. S. Khan, Zubdahe Noor
Pages: 251 - 266
In this paper, the exact and explicit expressions for single, product, and conditional moments for inverted Kumaraswamy distribution using dual generalized order statistics (dgos) are derived. Further, the expression for maximum likelihood estimator (MLE) and uniformly minimum variance unbiased estimator...
Research Article

10. Progressively Censored N-H Exponential Distribution

M. R. Mahmoud, R. M. Mandouh
Pages: 267 - 278
An extended version of exponential distribution is considered in this paper. This lifetime distribution has increasing, decreasing and constant hazard rates. So it can be considered as another useful two-parameter extension/generalization of the exponential distribution. It can be used as an alternative...
Research Article

11. Estimation of Entropy for Weibull Distribution Based on Record Values

Manoj Chacko, P. S. Asha
Pages: 279 - 288
In this paper, estimation of entropy for Weibull distribution based on record values is considered. Maximum likelihood estimation and Bayes estimation for Shannon entropy and Renyi entropy have been considered based on record values. Bayes estimators are obtained using Markov Chain Monte Carlo method....
Research Article

12. On Upper k-Record Values from the Generalized Linear Exponential Distribution

M. Alam, M. A. Khan, R. U. Khan
Pages: 289 - 303
In this paper, we derive the exact expressions as well as recurrence relations for single and product moment of generalized upper record values from the four-parameter generalized linear exponential distribution. Further, we characterize the given distribution through conditional expectation and recurrence...
Research Article

13. New Discrete Lifetime Distribution with Applications to Count Data

Beih S. El-Desouky, Rabab S. Gomaa, Alia M. Magar
Pages: 304 - 317
In this paper, we present a new class of distribution called generalized Hermite–Genocchi distribution (GHGD). This model is obtained by compounding generalized Hermite–Genocchi polynomials given by Gould and Hopper with powers series distribution. Statistical properties and reliability characteristics...
Research Article

14. The XLindley Distribution: Properties and Application

Sarra Chouia, Halim Zeghdoudi
Pages: 318 - 327
This paper proposes a new distribution called XLindley distribution (XLD), this distribution is generated as a special mixture of two distributions: exponential and Lindley and hence the name proposed. Also, the statistical properties like stochastic ordering, quantile function, the maximum likelihood...
Research Article

15. A New Form of Farlie-Gumbel-Morgenstern Copula: A Comparative Simulation Study and Application

Ferhan Baş Kaman, Hülya Olmuş
Pages: 328 - 339
In this study a new mixture copula has been obtained by creating a linear combination of product copula with copula which is obtained with marginal distributions of order statistics which was proposed by Dolati and Úbeda-Flores, Kybernetika. 45 (2009), 992–1002. In addition, a new form of Farlie-Gumbel-Morgenstern...
Research Article

16. Alpha Power Transformed Weibull-G Family of Distributions: Theory and Applications

I. Elbatal, M. Elgarhy, B. M. Golam Kibria
Pages: 340 - 354
This paper considers three special cases: Exponential, Rayleigh and Lindley of a family of generalized distributions, called alpha power Weibull G (APW-G) family. Some essential and valuable statistical properties of the family of distributions are obtained. The proposed distributions are very flexible...
Research Article

17. Modeling Frailty Using Birnbaum Saunders Distribution for Bivariate Survival Data

Lal Pawimawha
Pages: 355 - 363
Frailty models are survival models, which are designed to explore the properties of the unobserved heterogeneity in individuals pertaining to disease and death. In this paper, we propose the new frailty model called Birnbaum–Saunders frailty model with Weibull, Pareto, and exponential power as baseline...
Research Article

18. Inference in Simple Step-Stress Accelerated Life Tests for Type-II Censoring Lomax Data

Mohammad A. Amleh, Mohammad Z. Raqab
Pages: 364 - 379
In this paper, step-stress accelerated life test is considered to obtain the failure time data of highly reliable units in specified conditions. It is assumed that the lifetime data of such units follow Lomax distribution with a scale parameter depends on the stress level and the shape parameter remains...
Research Article

19. Estimation of Parameters of the GIE Distribution Under Progressive Type-I Censoring

Mahmoud R. Mahmoud, Hiba Z. Muhammed, Ahmed R. El-Saeed, Ashraf D. Abdellatif
Pages: 380 - 394
In this paper, we consider generalized inverted exponential distribution which is capable of modeling various shapes of failure rates and aging processes. Based on progressive Type-I censored data, we consider the problem of estimation of parameters under classical and Bayesian approaches. In this regard,...
Research Article

20. Parameter Estimation of the Weighted Generalized Inverse Weibull Distribution

Sofi Mudasir, S.P. Ahmad
Pages: 395 - 406
Weighted distributions are used widely in many fields of real life such as medicine, ecology, reliability, and so on. The idea of weighted distributions was given by Fisher and studied by Rao in a unified manner who pointed out that in many situations the recorded observations cannot be considered as...
Research Article

21. Preference of Prior for Two-Component Mixture of Lomax Distribution

Faryal Younis, Muhammad Aslam, M. Ishaq Bhatti
Pages: 407 - 424
Recently, El-Sherpieny et al., (2020), suggested Type-II hybrid censoring method for parametric estimation of Lomax distribution (LD) without due regard being given to the choice of priors and posterior risk associated with the model. This paper fills this gap and derived the new LD model with minimum...