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A note on extremes of compound Poisson processes

Berend D., Braverman M., Goldstein I.

Probability and Mathematical Statistics

2009

Vol. 29, Fasc. 2

309--320

We investigate the conditions on a compound Poisson process X(t) 0≤t≤1, under which the right tail of sup0≤t≤1 X(t) is equivalent to the tail of X(1). New examples for which this relation does not hold are given.

Assessment Of Operation Of Energy System Of Serial Reliability Structure On The Example Of Ship Main Propulsion System

Rudnicki J.

Journal of Polish CIMAC

2008

Vol. 3, no 2

9-13

This paper presents a development of the known qualitative method for assessment of energy system operation, applied to ship main propulsion system as an example. According to this interpretation operation can be presented as a physical quantity. In this aspect , based on the selected functional system of the ship, was assessed usefulness of the quantity for description reliability features of the system. To the analysis was applied Poisson’s uniform process which made it possible to elaborate a model of run of worsening the considered system’s operation taken as a random process of identical independent decreases of energy efficiency within a given time interval.