Goodness-of-fit tests for the power-law process based on the TTT-plot

1992 ◽  
Vol 41 (4) ◽  
pp. 593-598 ◽  
Author(s):  
B. Klefsjo ◽  
U. Kumar
Keyword(s):  
Power Law ◽  
Goodness Of Fit ◽  
Power Law Process ◽  
Goodness Of Fit Tests

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

1998 ◽  
Vol 05 (03) ◽  
pp. 249-267 ◽  
Author(s):  
Emmanuelle Crétois ◽  
Olivier Gaudoin
Keyword(s):  
Power Law ◽  
Software Reliability ◽  
Goodness Of Fit ◽  
Integral Transform ◽  
Reliability Growth ◽  
Chi Square ◽  
Power Law Process ◽  
Goodness Of Fit Tests ◽  
Duane Model ◽  
Probability Integral Transform

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.

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