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Level crossings of a constructed process

Published online by Cambridge University Press:  14 July 2016

Ken Sharpe*
Affiliation:
University of Melbourne
*
Postal address: Department of Statistics, University of Melbourne, Parkville, Victoria 3052, Australia.

Abstract

A method is presented for constructing a continuous, stationary process with a given rate of upcrossings at all levels and for which it is possible to find the exact distribution of the number of upcrossings, in an interval, at all levels.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1979 

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Footnotes

This work was carried out while the author was a visitor in the Statistical Laboratory, University of Manchester.

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