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On bilinear hazard quantile functions

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  • P. Sankaran
  • Bijamma Thomas
  • N. Midhu

Abstract

In this paper, we introduce and study a class of distributions with bilinear hazard quantile function. Various distributional properties of the class of distributions are studied. We also discuss the reliability characteristics of the class of distributions. The estimators of the parameters of the class of distributions, using method of L-moments are derived. We apply the proposed class of distributions to a real data set. Copyright Sapienza Università di Roma 2015

Suggested Citation

  • P. Sankaran & Bijamma Thomas & N. Midhu, 2015. "On bilinear hazard quantile functions," METRON, Springer;Sapienza Università di Roma, vol. 73(1), pages 135-148, April.
  • Handle: RePEc:spr:metron:v:73:y:2015:i:1:p:135-148
    DOI: 10.1007/s40300-014-0048-x
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    References listed on IDEAS

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    1. N. Nair & P. Sankaran & B. Vineshkumar, 2012. "Characterization of distributions by properties of truncated Gini index and mean difference," METRON, Springer;Sapienza Università di Roma, vol. 70(2), pages 173-191, August.
    2. Unnikrishnan Nair, N. & Vineshkumar, B., 2011. "Ageing concepts: An approach based on quantile function," Statistics & Probability Letters, Elsevier, vol. 81(12), pages 2016-2025.
    3. N.N. Midhu & P.G. Sankaran & N. Unnikrishnan Nair, 2014. "A Class of Distributions with Linear Hazard Quantile Function," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(17), pages 3674-3689, September.
    4. P. Sankaran & N. Unnikrishnan Nair, 2009. "Nonparametric estimation of hazard quantile function," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(6), pages 757-767.
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