Journal of Statistical Theory and Applications

Volume 16, Issue 2, June 2017
Research Article

1. Recurrence Relations for Moments of Generalized Order Statistics for Inverse Weibull Distribution and Some Characterizations

Saman Hanif Shahbaz, Mohammad Ahsanullah, Muhammad Qaiser Shahabaz
Pages: 137 - 149
We present recurrence relations for single, inverse, product and ratio moments of Generalized Order Statistics when sample is available from an Inverse Weibull Distribution. These relations enable computation of higher order moments using corresponding lower order moments. Some Characterizations of the...
Research Article

2. Cure Rate Models Considering The Burr XII Distribution in Presence of Covariate

Emílio A. Coelho-Barros, Jorge Alberto Achcar, Josmar Mazucheli
Pages: 150 - 164
This paper presents estimates for the parameters included in long-term mixture and non-mixture lifetime models, applied to analyze survival data when some individuals may never experience the event of interest. We consider the case where the lifetime data have a three-parameter Burr XII distribution,...
Research Article

3. An Extension of Generalized Cumulative Residual Entropy

Saeid Tahmasebi, Maryam Eskandarzadeh, Ali Akbar Jafari
Pages: 165 - 177
In this paper, a new extension of cumulative residual entropy is proposed. It contain the generalized cumulative residual entropy introduced by Psarrakos and Navarro (2013) and is related with the k-record values. We also consider a dynamic version of this new cumulative residual entropy using the residual...
Research Article

4. Statistical Inference for Lindley Model based on Type II Censored Data

A. Asgharzadeh, H.K.T. Ng, R. Valiollahi, M. Azizpour
Pages: 178 - 197
In this paper, the moment-based, maximum likelihood and Bayes estimators for the unknown parameter of the Lindley model based on Type II censored data are discussed. The expectation maximization (EM) algorithm and direct maximization methods are used to obtained the maximum likelihood estimator (MLE)....
Research Article

5. A New Bivariate Distribution Obtained by Compounding the Bivariate Normal and Geometric Distributions

Eisa Mahmoudi, Hamed Mahmoodian
Pages: 198 - 208
Recently, Mahmoudi and Mahmoodian [7] introduced a new class of distributions which contains univariate normal–geometric distribution as a special case. This class of distributions are very flexible and can be used quite effectively to analyze skewed data. In this paper we propose a new bivariate distribution...
Research Article

6. Comparing Two MLEs of The Change Point When an X̄ Control Chart Is Used

Mohammad E. Dehghan Monfared, Fazlollah Lak
Pages: 209 - 218
To find the change point of a normal process monitored by an X control chart, the first and most important step is to find a good estimate of the change point. Different from all the previous studies in which the MLE of the change point is computed from a conditional likelihood function given the signal...
Research Article

7. Stochastic Comparisons of Extreme Order Statistics in the Heterogeneous Exponentiated Scale Model

Esmaeil Bashkar, Hamzeh Torabi, Rasool Roozegar
Pages: 219 - 238
The effect of heterogeneity on order statistics has attracted much attention in recent decades. In this paper, first, we discuss stochastic comparisons of extreme order statistics from independent heterogeneous exponentiated scale samples. These comparisons are made with respect to usual stochastic,...
Research Article

8. E-Bayesian Estimation for Rayleigh Model Using Progressive Type-II Censoring Data

Rashad Mohamed EL-Sagheer
Pages: 239 - 247
This article deals with using E-Bayesian method under progressively type-II censored sample from the Rayleigh distribution (RD) for computing the estimates of the parameter. The Bayesian and E-Bayesian estimators are obtained under squared error and LINEX loss functions. A comparison between E-Bayesian...
Research Article

9. Bayesian Estimation of the Kumaraswamy Inverse Weibull Distribution

Felipe R.S. de Gusmão, Vera L.D. Tomazella, Ricardo S. Ehlers
Pages: 248 - 260
The Kumaraswamy InverseWeibull distribution has the ability to model failure rates that have unimodal shapes and are quite common in reliability and biological studies. The three-parameter Kumaraswamy InverseWeibull distribution with decreasing and unimodal failure rate is introduced. We provide a comprehensive...
Research Article

10. Efficient Rotation Pattern in Two-Phase Sampling

A. Bandyopadhyay, G.N. Singh
Pages: 261 - 268
The present investigation is an attempt to estimate the population mean on current occasion in two-phase successive (rotation) sampling over two occasions. Utilizing information on two auxiliary variables one chain-type estimator has been proposed to estimate the population mean on the current occasion....
Research Article

11. An Alternative Approach of Binomial and Multinomial Distributions

Mian Arif Shams Adnan, Md. Tareq Ferdous Khan, Md. Forhad Hossain, Abdullah Albalawi
Pages: 269 - 283
In this paper we have tried to present an alternative approach for two discrete distributions such as Binomial and Multinomial with a new concept of sampling having a more general form apart from the traditional methods of sampling. The existing distributions may be obtained as a special case of our...