Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/266299 
Year of Publication: 
2022
Citation: 
[Journal:] Statistics in Transition new series (SiTns) [ISSN:] 2450-0291 [Volume:] 23 [Issue:] 1 [Publisher:] Sciendo [Place:] Warsaw [Year:] 2022 [Pages:] 129-152
Publisher: 
Sciendo, Warsaw
Abstract: 
In this paper, we consider Kumaraswamy-G distributions and derive a Uniformly Minimum Variance Unbiased Estimator (UMVUE) and a Maximum Likelihood Estimator (MLE) of the two measures of reliability, namely R(t) = P(X > t) and P = P(X > Y ) under Type II censoring scheme and sampling scheme of Bartholomew (1963). We also develop interval estimates of the reliability measures. A comparative study of the different methods of point estimation has been conducted on the basis of simulation studies. An analysis of a real data set has been presented for illustration purposes.
Subjects: 
interval estimation
Kumaraswamy-G distributions
Monte-Carlo simulation
point estimation
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-sa Logo
Document Type: 
Article

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