African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 262

Full Length Research Paper

On two-sample test for detecting differences in the IFR property of life distributions

  Parameshwar V. Pandit1* and Nagaraj V. Gudaganavar2
  1Department of Statistics, Bangalore University, Jnanabharathi, Bangalore- 560056, India. 2Department of Statistics, Anjuman Arts, Science and Commerce College, Dharwad-580001, India.
Email: [email protected]

  •  Accepted: 30 January 2009
  •  Published: 31 March 2009

Abstract

 

A test proposed for testing whether one distribution is more Increasing Failure Rate (IFR) than another, based on a measure of IFR is presented in this paper. The asymptotic normality of the proposed test statistic was also established. The asymptotic null variance from the data was estimated since the variance depends on the unknown distribution. The Pitman asymptotic efficacies of the proposed test statistic are computed for various alternative IFR distributions.

 

Key words: Two-sample test, IFR, Pitman efficacy.

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This article is published under the terms of the Creative Commons Attribution License 4.0

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