On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications
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Fiaz Ahmad Bhatti
,
G. G. Hamedani
Abstract
In this paper, we propose a flexible extended quadratic hazard rate (EQHR) distribution with increasing, decreasing, bathtub and upside-down bathtub hazard rate function. The EQHR density is arc, right-skewed and symmetrical shaped. This distribution is also obtained from compounding mixture distributions. Stochastic orderings, descriptive measures on the basis of quantiles, order statistics and reliability measures are theoretically established. Characterizations of the EQHR distribution are studied via different techniques. Parameters of the EQHR distribution are estimated using the maximum likelihood method. Goodness of fit of this distribution through different methods is studied.
A Appendix
Theorem A.1.
Let
where the function s is a solution of the differential equation
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Comparing Short-Memory Charts to Monitor the Traffic Intensity of Single Server Queues
- Some Characterizations of the Log-Logistic Distribution
- Topp–Leone Linear Exponential Distribution
- On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications
- Reliability Test Plans for Percentiles Based on the Harris Generalized Linear Exponential Distribution
- Reliability Test Plan for the Gumbel-Uniform Distribution
Artikel in diesem Heft
- Frontmatter
- Comparing Short-Memory Charts to Monitor the Traffic Intensity of Single Server Queues
- Some Characterizations of the Log-Logistic Distribution
- Topp–Leone Linear Exponential Distribution
- On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications
- Reliability Test Plans for Percentiles Based on the Harris Generalized Linear Exponential Distribution
- Reliability Test Plan for the Gumbel-Uniform Distribution
