Cumulative entropy of progressively type-II censored order statistics and associated optimal life testing-plans. Issue 1 (2nd January 2023)

• Record Type: Journal Article
• Authors: Chakraborty, Siddhartha; Bhattacharya, Ritwik; Pradhan, Biswabrata
• Is Part Of: Statistics. Volume 57:Issue 1(2023)
• Page Start: 161
• Page End: 174
• Publication Date: 2023-01-02
• Subjects: Compound optimal design -- cost model -- cumulative entropy -- progressive type-II censoring -- reversed hazard rate; 94A17 -- 62N05 -- 90B25; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2023.2168666
• Languages: English
• ISSNs: 0233-1888

Abstract

Abstract : In this paper, joint cumulative entropy of progressive type-II censored order statistics is obtained in terms of reversed hazard rate function. Also, entropy and Kullback–Leibler information for progressive type-II censored order statistics are expressed using reversed hazard rate. Optimal life-testing plans based on cumulative entropy are proposed. Finally, cumulative entropy-based optimal designs using compound optimal design strategy for the life-testing experiment under progressive type-II censoring are developed. A real data set is analysed for illustration.