Journal
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume 38, Issue 2, Pages 222-232Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610920802187430
Keywords
Lambda distributions; Quantile-based reliability concepts; Quantile functions
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Funding
- University Grants Commission of India
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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 (2006) lambda distribution are discussed.
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