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:: Volume 11, Issue 2 (3-2018) ::
J. of Stat. Sci. 2018, 11(2): 357-379 Back to browse issues page
Estimation of Probability Density and Cumulative Distribution Functions of Beta Weibull Geometric Distribution
Shahram Yaghoobzadeh
Abstract:   (115 Views)

In this paper, the maximum liklihood estimation, unbiased estimations with minimum variance, percentile estimation, best percentile estimation single-observation estimation and the best percentile estimation two-observations in class which are based on order statistics are calculated in two sections for probability density and cumulative distribution functions of the beta Weibull geometric distribution, specially with bathtub-shaped and unimodal failure rate which are useful for modeling of data related to reliability and lifetime. Furthermore, through the simulation method of Monte Carlo and calculation of average square of errors of estimators, they are subjected to comparisons ultimately, the desirable estimator in each section is determined.

Keywords: Beta Weibull Geometric distribution, Percentile Estimation, Best Single-observation Percentile Estimation, Best Two-observation Percentile Estimation, Monte Carlo Simulation
Full-Text [PDF 197 kb]   (87 Downloads)    
Type of Study: Research | Subject: Statistical Inference
Received: 2015/12/15 | Accepted: 2017/02/9 | Published: 2018/04/15
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Yaghoobzadeh S. Estimation of Probability Density and Cumulative Distribution Functions of Beta Weibull Geometric Distribution. J. of Stat. Sci.. 2018; 11 (2) :357-379
URL: http://jss.irstat.ir/article-1-429-en.html

Volume 11, Issue 2 (3-2018) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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