2014/08/10 by Hojatollah Zakerzadeh, Zakerzadeh, Hojatollah, Ali Akbar Jafari +2
Biochemistry, Genetics and Molecular Biology · Mathematics · #62F03 #62F40 #FOS: Computer and information sciences #Methodology (stat.ME) #MicroRNA in disease regulation #Statistical Methods and Inference #msc:62F03 #msc:62F40 #stat.ME
paper · pdf · doi:10.48550/arxiv.1408.2255
Accepted for publication in Journal of Statistical Research of Iran
arxiv created 2014/08/10 · openalex publication_date 2014/08/10 · arxiv updated 2014/08/12 · openalex created_date 2022/08/12 · openalex updated_date 2026/07/28
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 \it 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.