1999/09/01 by Antonio Di Crescenzo · 3 citations
Engineering · Business, Management and Accounting · Mathematics · #Reliability and Maintenance Optimization #Advanced Queuing Theory Analysis #Statistical Distribution Estimation and Applications
paper · doi:10.1239/jap/1032374628
openalex publication_date 1999/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
In a similar spirit to the probabilistic generalization of Taylor's theorem by Massey and Whitt [13], we give a probabilistic analogue of the mean value theorem. The latter is shown to be useful in various contexts of reliability theory. In particular, we provide various applications to the evaluation of the mean total profits of devices having random lifetimes, to the mean total-time-on-test at an arbitrary order statistic of a random sample of lifetimes, and to the mean maintenance cost for the second room of queueing systems in steady state characterized by two serial waiting rooms.