Central limit theorem for alternating renewal processes

Rimas  Banys

doi:10.15388/LMR.2007.18179

Articles

Rimas Banys

Vilnius Gediminas Technical University

Published 2007-12-20

https://doi.org/10.15388/LMR.2007.18179

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Keywords

Skorokhod space
central limit theorem
alternating renewal processes

How to Cite

Banys, R. (2007) “Central limit theorem for alternating renewal processes”, Lietuvos matematikos rinkinys, 47(spec.), pp. 45–48. doi:10.15388/LMR.2007.18179.

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Abstract

Functional central limit theorems for stationary alternating renewal processes with dependent work and repair times, and for associated workload processes are stated. The weak convergence of distributions of properly scaled processesin the Skorokhodspace holds under some regularity condition imposed on the distribution functions of work and repair times.

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