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On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications

On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and... AbstractIn this paper, we propose a flexible extended quadratic hazard rate (EQHR)distribution with increasing, decreasing, bathtub and upside-down bathtubhazard rate function. The EQHR density is arc, right-skewed and symmetricalshaped. This distribution is also obtained from compounding mixturedistributions. Stochastic orderings, descriptive measures on the basis ofquantiles, order statistics and reliability measures are theoreticallyestablished. Characterizations of the EQHR distribution are studied viadifferent techniques. Parameters of the EQHR distribution are estimated using themaximum likelihood method. Goodness of fit of this distribution throughdifferent methods is studied. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Economic Quality Control de Gruyter

On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6147
eISSN
2367-2404
DOI
10.1515/eqc-2018-0002
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper, we propose a flexible extended quadratic hazard rate (EQHR)distribution with increasing, decreasing, bathtub and upside-down bathtubhazard rate function. The EQHR density is arc, right-skewed and symmetricalshaped. This distribution is also obtained from compounding mixturedistributions. Stochastic orderings, descriptive measures on the basis ofquantiles, order statistics and reliability measures are theoreticallyestablished. Characterizations of the EQHR distribution are studied viadifferent techniques. Parameters of the EQHR distribution are estimated using themaximum likelihood method. Goodness of fit of this distribution throughdifferent methods is studied.

Journal

Economic Quality Control – de Gruyter

Published: Jun 1, 2018

References

  • A new family of quadratic hazard rate-geometric distributions with reliability applications
  • A new generalization of quadratic hazard rate distribution
  • The quadratic hazard rate power series distribution
  • A new generalization of quadratic hazard rate distribution
  • A new bivariate distribution with generalized quadratic hazard rate marginals distributions
  • Some consequences of a characterization theorem based on truncated moments
  • Characterization of distributions through linear regression of non-adjacent generalized order statistics
  • Analysis for the linear failure-rate life-testing distribution