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A Selection Procedure for Selecting the Least Increasing Failure Rate Average Distribution

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  • Suresh Kumar Sharma
  • Kanchan Jain
  • Neetu Singla

Abstract

For k independent absolutely continuous increasing failure rate average (IFRA) life distributions Fi, i = 1, 2, …, k, Link (1989) considered a measure of departure of against monotone failure rate average alternatives. In this paper, we use the measure defined by Link for detection of IFRA-ness of life distribution Fi. A two-stage selection procedure to select the least IFRA distribution is proposed. This selection procedure is based on a U-statistic which is an estimator of the measure and can be implemented even when the IFRA life distributions belong to different families. The applications of this procedure are discussed for some well known distributions.

Suggested Citation

  • Suresh Kumar Sharma & Kanchan Jain & Neetu Singla, 2015. "A Selection Procedure for Selecting the Least Increasing Failure Rate Average Distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(9), pages 1786-1796, May.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:9:p:1786-1796
    DOI: 10.1080/03610926.2012.763096
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