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JSRI 2014, 10(2): 197-208 Back to browse issues page
Comparing the Shape Parameters of Two Weibull Distributions Using Records: A Generalized Inference
H. Zakerzadeh *1, A. A. Jafari
1- , h.zaker@yazd.ac.ir
Abstract:   (3255 Views)

The Weibull distribution is a very applicable model for the lifetime data. For inference about two Weibull distributions using records, the shape parameters of the distributions are usually considered equal. However, there is not an appropriate method for comparing the shape parameters in the literature. Therefore, comparing the shape parameters of two Weibull distributions is very important. In this paper, we propose a method for constructing confidence interval and testing hypotheses about the ratio and difference of shape parameters using the concept of the generalized  p-value and the generalized confidence interval. Simulation studies showed that our method is satisfactory. In the end, a real example is proposed to illustrate this method.

Keywords: Generalized p-value, generalized confidence interval, records, Weibull distribution.
Full-Text [PDF 190 kb]   (716 Downloads)    
Type of Study: Research | Subject: General
Accepted: 2015/12/10 | Published: 2016/09/14
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Zakerzadeh H, Jafari A A. Comparing the Shape Parameters of Two Weibull Distributions Using Records: A Generalized Inference. JSRI. 2014; 10 (2) :197-208
URL: http://jsri.srtc.ac.ir/article-1-49-en.html

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Volume 10, Issue 2 (3-2014) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران Journal of Statistical Research of Iran JSRI
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