Mixed Poisson-type processes with application in software reliability

Yu Hayakawa, G. Telfar

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We introduce one generalization of the mixed Poisson process referred to as the mixed Poisson-type process. An approach taken here is to assume the l1-isotropy of interevent times and to define the parameter as a function of observable quantities. An inhomogeneous variant of the new process is studied as a software reliability model. As an illustration a numerical example is analyzed via the Gibbs sampler. The mixed Poisson-type process is constructed through probabilistic behaviour of observable quantities and includes the mixed Poisson process as the limiting case. (C) 2000 Elsevier Science Ltd.

Original languageEnglish
Pages (from-to)151-156
Number of pages6
JournalMathematical and Computer Modelling
Volume31
Issue number10-12
DOIs
Publication statusPublished - 2000 May 22
Externally publishedYes

Fingerprint

Software Reliability
Software reliability
Siméon Denis Poisson
Poisson process
Gibbs Sampler
Isotropy
Limiting
Numerical Examples
Model

Keywords

  • Gibbs sampler
  • l-isotropy
  • Mixed Poisson-type processes
  • Software reliability

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

Cite this

Mixed Poisson-type processes with application in software reliability. / Hayakawa, Yu; Telfar, G.

In: Mathematical and Computer Modelling, Vol. 31, No. 10-12, 22.05.2000, p. 151-156.

Research output: Contribution to journalArticle

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