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JSRI 2019, 15(2): 275-300 Back to browse issues page
On Properties of a Class of Bivariate FGM Type Distributions
Zahra Sharifonnasabi1, Mohammad Hosein Alamatsaz 2, Iraj Kazemi1
1- University of Isfahan
2- University of Isfahan , alamatho@sci.ui.ac.ir
Abstract:   (776 Views)
In this paper, we consider a new class of bivariate copulas and study their measures of association. Specifically, we propose a bivariate copula based distribution and obtain explicit expressions for the corresponding marginal and joint distributions of concomitants of generalized order statistics. Using these results, we provide the minimum variance linear unbiased estimator for the location and scale parameters of the concomitants of order statistics of Burr and logistic distributions. Then, we introduce a class of absolutely continuous bivariate distributions whose univariate margins are exponential distributions. In addition, we discuss their properties such as moment generating function, stress-strength probability and reliability of two component systems. Monte Carlo simulations are performed to highlight properties of the parameters estimates. Finally, we analyze two data sets to illustrate the flexibility and potential of the proposed distribution compared to several competing models.
Keywords: Burr distribution, concomitants, exponential distribution, generalized order statistics, minimum variance, Monte Carlo simulation, reversed hazard rate.
Full-Text [PDF 648 kb]   (284 Downloads)    
Type of Study: Research | Subject: General
Received: 2018/01/17 | Accepted: 2019/11/18 | Published: 2019/12/12
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Sharifonnasabi Z, Alamatsaz M H, Kazemi I. On Properties of a Class of Bivariate FGM Type Distributions. JSRI. 2019; 15 (2) :275-300
URL: http://jsri.srtc.ac.ir/article-1-311-en.html

Volume 15, Issue 2 (3-2019) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران (علمی - پژوهشی) Journal of Statistical Research of Iran JSRI
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