Robust Wavelet Shrinkage Estimation without Data Transform for Software Reliability Assessment

2012 ◽  
Author(s):  
Xiao Xiao ◽  
Tadashi Dohi
Keyword(s):  
Software Reliability ◽  
Reliability Assessment ◽  
Shrinkage Estimation ◽  
Wavelet Shrinkage

scholarly journals A Comparative Study of Data Transformations for Wavelet Shrinkage Estimation with Application to Software Reliability Assessment

2012 ◽  
Vol 2012 ◽  
pp. 1-9
Author(s):  
Xiao Xiao ◽  
Tadashi Dohi
Keyword(s):  
Software Reliability ◽  
Count Data ◽  
Goodness Of Fit ◽  
Estimation Accuracy ◽  
Shrinkage Estimation ◽  
Wavelet Shrinkage ◽  
Goodness Of Fit Test ◽  
Data Transformations ◽  
Software Reliability Models ◽  
Software Fault

In our previous work, we proposed wavelet shrinkage estimation (WSE) for nonhomogeneous Poisson process (NHPP)-based software reliability models (SRMs), where WSE is a data-transform-based nonparametric estimation method. Among many variance-stabilizing data transformations, the Anscombe transform and the Fisz transform were employed. We have shown that it could provide higher goodness-of-fit performance than the conventional maximum likelihood estimation (MLE) and the least squares estimation (LSE) in many cases, in spite of its non-parametric nature, through numerical experiments with real software-fault count data. With the aim of improving the estimation accuracy of WSE, in this paper we introduce other three data transformations to preprocess the software-fault count data and investigate the influence of different data transformations to the estimation accuracy of WSE through goodness-of-fit test.

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