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- Title
MATHEMATICAL PROPERTIES AND APPLICATIONS OF MINIMUM GUMBEL BURR DISTRIBUTION.
- Authors
Jamal, Farrukh; Reyad, Hesham Mohammed; Ahmed, Soha Othman; Ali Shah, Syed Muhammad Akbar
- Abstract
This paper presents the details of a proposed continuous model for the minimum Gumbel Burr distribution which is based on four different parameters. The model is obtained by compounding the Gumbel type-II and Burr-XII distributions. Basic mathematical properties of the new distribution were studied including the quantile function, ordinary and incomplete moments, moment generating function, order statistics, Rényi entropy, stress-strength model and stochastic ordering. The parameters of the proposed distribution are estimated using the maximum likelihood method. A Monte Carlo simulation was presented to examine the behaviour of the parameter estimates. The flexibility of the proposed model was assessed by means of three applications.
- Subjects
MONTE Carlo method; STOCHASTIC orders; PARAMETERS (Statistics); MATHEMATICAL models; ENTROPY
- Publication
NED University Journal of Research, 2020, Vol 17, Issue 2, p1
- ISSN
2304-716X
- Publication type
Article
- DOI
10.35453/NEDJR-ASCN-2018-0063