Wavelet Shrinkage Estimation for Non-Homogeneous Poisson Process Based Software Reliability Models

2013 ◽  
Vol 62 (1) ◽  
pp. 211-225 ◽  
Author(s):  
Xiao Xiao ◽  
Tadashi Dohi
Keyword(s):  
Poisson Process ◽  
Software Reliability ◽  
Shrinkage Estimation ◽  
Wavelet Shrinkage ◽  
Homogeneous Poisson Process ◽  
Reliability Models ◽  
Software Reliability Models ◽  
Non Homogeneous Poisson Process

SOFTWARE RELIABILITY MODELING BASED ON MIXED POISSON DISTRIBUTIONS

2008 ◽  
Vol 15 (01) ◽  
pp. 19-32 ◽  
Author(s):  
HIROYUKI OKAMURA ◽  
TADASHI DOHI
Keyword(s):  
Poisson Process ◽  
Software Reliability ◽  
Estimation Method ◽  
Modeling Framework ◽  
Reliability Modeling ◽  
Reliability Models ◽  
Software Reliability Models ◽  
Mixed Poisson Process ◽  
The Difference ◽  
Non Homogeneous Poisson Process

This paper considers a novel modeling framework of software reliability models (SRMs). The proposed SRMs are based on the mixed Poisson distribution (MPD), which can involve the non-homogeneous Poisson process (NHPP) based SRMs completely, but are not always equivalent to them. More precisely, the MPD-based SRMs provide a mixture of NHPPs, and their statistical properties follows the mixed Poisson process. We develop a parameter estimation method for the MPD-based SRMs based on EM algorithm. In numerical examples, we mainly investigate the difference between conventional NHPP-based SRMs and MPD-based SRMs in the viewpoints of estimating parameters and software reliability.

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