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Note an a death process

Published online by Cambridge University Press:  14 July 2016

S. A. De Vries*
Affiliation:
Rijksuniversiteit Groningen
A. J. Stam*
Affiliation:
Rijksuniversiteit Groningen
J. Reddingius*
Affiliation:
Rijksuniversiteit Groningen
*
Postal address: Mathematisch Instituut, Rijksuniversiteit Groningen, Postbus 800, Groningen, The Netherlands.
Postal address: Mathematisch Instituut, Rijksuniversiteit Groningen, Postbus 800, Groningen, The Netherlands.
Postal address: Mathematisch Instituut, Rijksuniversiteit Groningen, Postbus 800, Groningen, The Netherlands.

Abstract

The forward equations for the death process in ℕ2 with Q-matrix determined by q(i, j; i − 1, j) = αij, i ≧ 1, q(i, j; i, j − 1) = μj, j ≧ 1 are solved by giving a special interpretation to this Q-matrix.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1980 

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