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Journal of Statistical Theory and Practice

, Volume 5, Issue 2, pp 327–334 | Cite as

Some Large Sample Tests Based on Conditional Distribution for the Shape Parameter in Power Law Process

  • K. Muralidharan
  • Kuang-Chao Chang
Article

Abstract

Power law process (PLP) or Weibull process is used to model reliability growth and is usually characterized by the intensity function λ (x). Some computationally simple tests for shape parameter based on conditional likelihood are proposed in the presence of nuisance parameter. The large sample tests based on Fisher information and Score test are also derived. A simulation study is performed to compare the tests in terms of power. Few examples are also discussed at the end of the paper.

AMS Subject Classification

60G07 60G55 

Key-word

Intensity function Fisher information Score test Maximum likelihood Repairable systems Shape parameter Sufficient statistics 

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Copyright information

© Grace Scientific Publishing 2011

Authors and Affiliations

  1. 1.Department of Statistics, Faculty of ScienceM.S. University of BarodaVadodaraIndia
  2. 2.Department of Statistics and Information scienceFu-Jen Catholic UniversityTaipei, Taiwan, ROC.China

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