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DOI:	10.1371/journal.pone.0126183
论文题名:	A 3-Component Mixture of Rayleigh Distributions: Properties and Estimation in Bayesian Framework
作者:	Muhammad Aslam; Muhammad Tahir; Zawar Hussain; Bander Al-Zahrani
刊名:	PLOS ONE
ISSN:	1932-6203
出版年:	2015
发表日期:	2015-5-20
卷:	10, 期:5
语种:	英语
英文关键词:	Bayesian method ; Probability distribution ; Engineering and technology ; Forecasting ; Mixtures ; Radar ; Random variables ; Wind
英文摘要:	To study lifetimes of certain engineering processes, a lifetime model which can accommodate the nature of such processes is desired. The mixture models of underlying lifetime distributions are intuitively more appropriate and appealing to model the heterogeneous nature of process as compared to simple models. This paper is about studying a 3-component mixture of the Rayleigh distributionsin Bayesian perspective. The censored sampling environment is considered due to its popularity in reliability theory and survival analysis. The expressions for the Bayes estimators and their posterior risks are derived under different scenarios. In case the case that no or little prior information is available, elicitation of hyperparameters is given. To examine, numerically, the performance of the Bayes estimators using non-informative and informative priors under different loss functions, we have simulated their statistical properties for different sample sizes and test termination times. In addition, to highlight the practical significance, an illustrative example based on a real-life engineering data is also given.
URL:	http://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0126183&type=printable
Citation statistics:
资源类型:	期刊论文
标识符:	http://119.78.100.158/handle/2HF3EXSE/22268
Appears in Collections:	过去全球变化的重建影响、适应和脆弱性科学计划与规划气候变化与战略全球变化的国际研究计划气候减缓与适应气候变化事实与影响

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File Name/ File Size	Content Type	Version	Access	License
journal.pone.0126183.PDF（387KB）	期刊论文	作者接受稿	开放获取	CC BY-NC-SA	View Download

作者单位:

A Department of Basic Sciences, Riphah International University, Islamabad, 44000, Pakistan;Department of Statistics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan;Department of Statistics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan;Department of Statistics, King Abdulaziz University, 21589, Jeddah, 80203, Saudi Arabia

Recommended Citation:

Muhammad Aslam,Muhammad Tahir,Zawar Hussain,et al. A 3-Component Mixture of Rayleigh Distributions: Properties and Estimation in Bayesian Framework[J]. PLOS ONE,2015-01-01,10(5)

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