Stochastic comparisons of second-order statistics from dependent and heterogenous modified proportional hazard rate observations. Issue 2 (4th March 2023)

• Record Type: Journal Article
• Authors: Yan, Rongfang; Niu, Jiale
• Is Part Of: Statistics. Volume 57:Issue 2(2023)
• Page Start: 328
• Page End: 353
• Publication Date: 2023-03-04
• Subjects: Second-order statistic -- Archimedean copula -- majorization -- modified proportional hazard rate model -- stochastic orders; Primary 60E15 -- Secondary 62G30; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2023.2177999
• Languages: English
• ISSNs: 0233-1888

Abstract

Abstract : This manuscript studies the stochastic comparisons of the second-order statistics from dependent or independent and heterogeneous modified proportional hazard rate observations. Some sufficient conditions on the usual stochastic order of the second-order statistics from dependent and heterogeneous observations are established under Archimedean copula. Some sufficient conditions are also provided in the hazard rate order of the second-order statistics arising from two sets of independent and heterogeneous or multiple-outlier modified proportional hazard rate observations. Some numerical examples are given to illustrate the theoretical findings.