Title :
Compound Poisson approximation in reliability theory
Author :
Barbour, Andrew D. ; Chryssaphinou, Ourania ; Roos, Mdgorzata
Author_Institution :
Abteilung fur Angewandte Math., Zurich Univ., Switzerland
fDate :
9/1/1995 12:00:00 AM
Abstract :
The use of the compound Poisson local formulation of Stein´s method to obtain reliability bounds is discussed. In the context of the consecutive-k-out-of-n model, the approximations obtained are comparable with the best known for the system, which rely heavily on its special structure. In contrast, Stein´s method for the compound Poisson approach can be applied equally effectively in many more-complicated models
Keywords :
Poisson distribution; approximation theory; probability; reliability theory; Stein´s method; compound Poisson approximation; consecutive-k-out-of-n model; reliability bounds; reliability theory; Context modeling; Design engineering; Power engineering and energy; Power engineering computing; Power system modeling; Power system planning; Power system reliability; Reliability engineering; Reliability theory; Systems engineering and theory;
Journal_Title :
Reliability, IEEE Transactions on
