Presentation 2019-12-13
Lindley Type Distributions and Software Reliability Assessment
Qi Xiao, Tadashi Dohi, Hiroyuki Okamura,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Dennis Victor Lindley proposed an interesting one-parameter continuous probability distribition, which is called Lindley distribution, in the context of Fiducial and Bayesian statistics. Recently, the Lindley distribution has received considerable attentions and been applied to the life data analysis for several products in stead of the common exponential distribution. In this paper, we propose to use the Lindley distribution and its variations to represent the software fault-detection time distribution, and develop somewhat different non-homogeneous Poisson process (NHPP)-based software reliability models (SRMs). The resulting SRMs are compared with the existing NHPP-based SRMs with the well-known fault-detection time distributions which can be categorized into the exponential family and the extreme distributions. Through numerical examples with the fault count data observed in actual software development projects, we show the usefulness of the Lindley type SRMs.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) software reliability models / non-homogeneous Poisson processes / Lindley distribution / mixture probability distribution / goodness-of-fit performance / predictive performance
Paper # R2019-53
Date of Issue 2019-12-06 (R)

Conference Information
Committee R
Conference Date 2019/12/13(1days)
Place (in Japanese) (See Japanese page)
Place (in English) Kikai-Shinko-Kaikan Bldg.
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Akira Asato(Fujitsu)
Vice Chair Tadashi Dohi(Hiroshima Univ.)
Secretary Tadashi Dohi(Hosei Univ.)
Assistant Hiroyuki Okamura(Hiroshima Univ.) / Shinji Yokogawa(Univ. of Electro-Comm.)

Paper Information
Registration To Technical Committee on Reliability
Language ENG-JTITLE
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Lindley Type Distributions and Software Reliability Assessment
Sub Title (in English)
Keyword(1) software reliability models
Keyword(2) non-homogeneous Poisson processes
Keyword(3) Lindley distribution
Keyword(4) mixture probability distribution
Keyword(5) goodness-of-fit performance
Keyword(6) predictive performance
1st Author's Name Qi Xiao
1st Author's Affiliation Hiroshima University(Hiroshima Univ.)
2nd Author's Name Tadashi Dohi
2nd Author's Affiliation Hiroshima University(Hiroshima Univ.)
3rd Author's Name Hiroyuki Okamura
3rd Author's Affiliation Hiroshima University(Hiroshima Univ.)
Date 2019-12-13
Paper # R2019-53
Volume (vol) vol.119
Number (no) R-337
Page pp.pp.19-24(R),
#Pages 6
Date of Issue 2019-12-06 (R)