Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1147582 | Journal of Statistical Planning and Inference | 2012 | 7 Pages |
Abstract
⺠We show that if Y is DRHR and X is s-IFR, then XY is s-IFR. ⺠We show that if there exists an exponential random variable Y such that XY is s-IFR, then X is (s+1)-IFR. ⺠Some characterizations of s-IFR (s-DFR) ageing class are derived on XY. ⺠The bounds of XY are obtained when Y is an exponential random variable.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Nanlian Cai, Yaohui Zheng,