On Proximity of Weighted and Exponential Distributions
International Journal of Reliability, Quality and Safety Engineering
In this paper stochastic relations and closure results for weighted and transformed distributions including the proportional hazards model are presented. Exponential approximations to the class of increasing failure rate (IFR) and decreasing failure rate (DFR) weighted distributions including transformed distributions with monotone weight functions are obtained. These include approximations via the proportional hazards and length-biased exponential distributions. Also, bounds and moment-type inequalities for weighted life distributions including proportional hazards models and some applications are presented.
Oluyede, Broderick O..
"On Proximity of Weighted and Exponential Distributions."
International Journal of Reliability, Quality and Safety Engineering, 17 (1): 1-14.