A BIRTH PROCESS WITH A RANDOM BIRTH RATE

Autor:	G Haynatzki, Srikanth K. Iyer, N Schumacher, M Dayal, J Gani
Jazyk:	angličtina
Rok vydání:	1995
Předmět:	Discrete mathematics Continuous-time Markov chain Markov chain Laplace transform Markov renewal process Mathematics::Operator Algebras Mathematical analysis Ocean Engineering Markov property Probability-generating function Moment-generating function Laplace distribution Mathematics
Zdroj:	Bulletin of informatics and cybernetics. 27(1):23-30
ISSN:	0286-522X
Popis:	This note extends the results of the classical birth process to the case where the birth parameter is a two-state Markov chain. Partial differential equations for the two components $ phi_1(z, t) $ and $ phi_2(z, t) $ of the probability generating function of the process are derived, and Laplace transforms of these taken. Solutions are then found for $ phi_1(z, t) $ and $ phi_2(z, t) $ by standard methods of analysis.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e47855dfe269f2e6b36fe76b1be871f4 http://hdl.handle.net/2324/13441 Zobrazit plný text záznamu