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Statistics Colloquium

Location

Mathematics/Psychology : 106

Date & Time

February 27, 2015, 11:00 am12:00 pm

Description

Speaker
Prof. Shelemyahu Zacks
Distinguished Professor Emeritus 
Binghamton University

Title
The Availability Function and Its Applications in Telegrapher Processes

Abstract:  
We define the availability function , A(t), of repairable systems, as the total length of time in (0,t) in which the system operates. We model the ON and OFF periods as alternating renewal processes. The distribution function P{A(t)<=x} is derived. We then derive the distribution of the location X(t) of a telegrapher process at time t, starting at X(0)=0, and of a Wiener process mounted on a telegrapher process.