New Results on Goodness-of-Fit Tests for the Power-Law Process and Application to Software Reliability

Author:

Crétois Emmanuelle1,Gaudoin Olivier1

Affiliation:

1. Laboratoire IMAG-LMC, BP 53, 38 041 Grenoble Cedex 9, France

Abstract

The Power-Law process, also known as the Duane model, is a nonhomogeneous Poisson process which is widely used in reliability growth modeling. Goodness-of-fit tests for this process have been proposed by Crow, Rigdon, Klefsjö–Kumar and Park–Kim. In this paper, we propose several new tests based on chi-square, Laplace and conditional probability integral transform (CPIT) methodologies. We show that the TTT-plot test reduces to the Laplace test with Durbin's modification. We compare the power of 15 goodness-of-fit tests for the Power-Law process, and apply them to real software reliability data.

Publisher

World Scientific Pub Co Pte Lt

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Energy Engineering and Power Technology,Aerospace Engineering,Safety, Risk, Reliability and Quality,Nuclear Energy and Engineering,General Computer Science

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