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An Approach for the NHPP Software Reliability Model Using Erlang Distribution  

Kim Hee-Cheul (남서울대학교 산업정보시스템공학부)
Choi Yue-Soon (원광대학교 컴퓨터공학과)
Park Jong-Goo (원광대학교 컴퓨터공학과)
Abstract
The finite failure NHPP models proposed in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, we propose the Erlang reliability model, which can capture the increasing nature of the failure occurrence rate per fault. Equations to estimate the parameters of the Erlang finite failure NHPP model based on failure data collected in the form of inter-failure times are developed. For the sake of proposing shape parameter of the Erlang distribution, we used to the goodness-of-fit test of distribution. Data set, where the underlying failure process could not be adequately described by the existing models, which motivated the development of the Erlang model. Analysis of the failure data set which led us to the Erlang model, using arithmetic and Laplace trend tests, goodness-of-fit test, bias tests is presented.
Keywords
Software Reliability Model; Goodness-of-fit Test; Nonhomogeneous Poisson Process; Erlang Distribution; Bias Tests; Software Reliability; Sum of the Squared Errors;
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