M. Rezapour

Department of Statistics‎. ‎Faculty of Mathematics and Computer‎, ‎Shahid Bahonar University of Kerman‎, ‎Kerman‎, ‎Iran

[ 1 ] - On properties of dependent general progressively type-II censored order statistics

In the literature of life-testing, general progressive censoring has been studied extensively. But, all the results have been developed under the key assumption that the units undertest are independently distributed. In this paper, we study general progressively Type-II censored order statistics arising from identical units under test which are jointly distributed according to an Archimedean co...

[ 2 ] - Non-linear Bayesian prediction of generalized order statistics for liftime models

In this paper, we obtain  Bayesian prediction intervals as well as Bayes predictive estimators under square error loss for generalized order statistics when the distribution of the underlying population belongs to a family which includes several important distributions.

[ 3 ] - The behavior of non-identical and dependent standby components in a coherent‎ system

‎In this paper‎, ‎a coherent system consisting of non-identical dependent active components and‎ ‎equipped with non-identical dependent standby components is considered‎. ‎The main object of this study is the random quantity‎ ‎which account the number of surviving standby components when the system‎ ‎is failed‎. ‎We represent the distribution function of the corresponding random variable in ter...

[ 4 ] - آزمون نیکویی برازش بر مبنای آنتروپی k-رکوردها از توزیع پارتو تعمیم‌یافته

در این مقاله ابتدا به محاسبه آنتروپی k-رکوردها از توزیع پارتو تعمیم‌یافته پرداخته می‌شود و بر مبنای آن، آماره‌ای برای آزمون نیکویی برازش این توزیع ارائه می‌گردد. در پایان، عملکرد این آماره در مطالعه‌ای شبیه‌سازی و با استفاده از داده‌های واقعی مورد بررسی قرار می‌گیرد.

[ 5 ] - Instrumental Variables Regression with Measurement Errors and Multicollinearity in Instruments

In this paper we obtain a consistent estimator when there exist some measurement errors and multicollinearity in the instrumental variables in a two stage least square estimation of parameters. We investigate the asymptotic distribution of the proposed estimator and discuss its properties using some theoretical proofs and a simulation study. A real numerical application is also provided for mor...