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Communications in Statistics - Theory and Methods

Volume 38, Issue 2, 2009

Quantile-Based Reliability Analysis

Quantile-Based Reliability Analysis

DOI:
10.1080/03610920802187430
N. Unnikrishnan Naira & P. G. Sankarana*

pages 222-232

Available online: 04 Nov 2008

Abstract

Quantile functions are equivalent alternatives to distribution functions in modeling and analysis of statistical data. The present article discusses the role of quantile functions in reliability studies. We present the hazard, mean residual, variance residual, and percentile residual quantile functions, their mutual relationships and expressions for the quantile functions in terms of these functions. Further, some theoretical results relating to the Hankin and Lee (200610. Hankin , R. K. S. , Lee , A. ( 2006 ). A new family of non-negative distributions . Austral. N.Z. J. Statist. 48 : 67 – 78 .
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) lambda distribution are discussed.

Keywords

Mathematics Subject Classification

 

Details

  • Citation information:
  • Available online: 04 Nov 2008

Author affiliations

  • a Department of Statistics, Cochin University of Science and Technology, Cochin, India

Librarians

Taylor & Francis Group