𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic distribution of some multivariate “success run” renewal processes, applied to a 2-i.i.d. unit repairable system

✍ Scribed by Doug Wiens


Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
202 KB
Volume
32
Category
Article
ISSN
0894-069X

No coin nor oath required. For personal study only.

✦ Synopsis


If the probability of "failure" in a multivariate renewal process of the "success run" type is very small, then if certain conditions are imposed on !he components of the renewals, the joint distribution of their total durations is approximately exponential with all mass along one line. This result is applied to a 2-i.i.d. unit repairable system of the " I out of 2 : G , Cold Standby" type.