SOME RESULTS ON REVERSED HAZARD RATE

By Nimai Kumar Chandra, D. Roy. Probability in the engineering and informational sciences (Print), 2001

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Stochastic Comparison of Residual Life and Inactivity Time at a Random Time (2004, background): “Monotonicity properties of conceptions of aging such as DFR, IMRL, DRHR and IEIT have been investigated in the past two decades by, for example, Brown 5 6 , Kijima 7 and Chandra and Roy 8 .”
On some reliability measures and their stochastic orderings for the Topp–Leone distribution (2005, methodology): “…z ¼ y=2b, we have ðx 0 F(y) dy ¼ ðx 0 (y=b)n(2 y=b)n dy ¼ b4nþ1=2 ðx=(2b) 0 zn(1 z)n dy ¼ b4nþ1=2 Be 1 þ n; 1 þ n; x 2b : (7) Therefore, using equations (2) and (7), we have m(x) ¼ b4 nþ1=2 Be(1 þ n; 1 þ n; x=2b) (x=b)n(2 x=b)n: (8) The following implications are given in Chandra & Roy (2001).”
On the comparison of Fisher information of the Weibull and GE distributions (2006, background): “Recently, reversed hazard rate has been introduced and studied quite extensively by several authors, see for example Block, Savits and Singh [1], Chandra and Roy [2] and Gupta, Gupta and Sankaran [5].”
On Relative Reversed Hazard Rate Order (2015, background): “For some detailed discussions and various properties of the RHR function, we refer the reader to Block et al. (1998), Chandra and Roy (2001), and Finkelstein (2002).”