ON THE ROLE OF UNBIASED INVERSE VARIANCE-STABILIZING TRANSFORMATION IN WAVELET SHRINKAGE ESTIMATION FOR NHPP-BASED SOFTWARE RELIABILITY ASSESSMENT

Authors

  • Xiao Xiao Tokyo Metropolitan University
  • Daichi Tada Tokyo Metropolitan University
  • Hisashi Yamamoto Tokyo Metropolitan University

DOI:

https://doi.org/10.23055/ijietap.2019.26.1.3632

Keywords:

software reliability, NHPP, wavelet, unbiased estimator, variance-stabilizing transformation

Abstract

In non-homogeneous Poisson process (NHPP) based software reliability models (SRM), specifying the software intensity function or the mean value function accurately is important. A wavelet shrinkage estimation (WSE) method has been proposed for estimating NHPP-based SRMs in a non-parametric way. We concentrate on the inverse variance-stabilizing transformation (IVST) used in the last step of WSE and apply unbiased IVST instead of the commonly-used direct algebraic IVST to reduce the bias of the WSE estimator. Through numerical studies with real software fault count data, we show the effectiveness of the WSE combined with unbiased IVST.

Published

2019-03-23

How to Cite

Xiao, X., Tada, D., & Yamamoto, H. (2019). ON THE ROLE OF UNBIASED INVERSE VARIANCE-STABILIZING TRANSFORMATION IN WAVELET SHRINKAGE ESTIMATION FOR NHPP-BASED SOFTWARE RELIABILITY ASSESSMENT. International Journal of Industrial Engineering: Theory, Applications and Practice, 26(1). https://doi.org/10.23055/ijietap.2019.26.1.3632

Issue

Section

2016 Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling