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Journal article
The Ristic-Balakrishnan-Topp-Leone-Gompertz-G Family of Distributions with Applications
Journal of statistical theory and applications, Vol.22(1-2), pp.116-150
06/01/2023
Web of Science ID: WOS:000976309100001
Abstract
In this paper, we introduce the newly generated Ristic-Balakrishnan-Topp-Leone-Gompertz-G family of distributions. Statistical and mathematical properties of this new family including moments, moment generating function, incomplete moments, conditional moments, probability weighted moments, distribution of the order statistics, stochastic ordering, and Renyi entropy are derived. The unknown parameters of the family are inferred using the maximum likelihood estimation technique. A Monte Carlo simulation study is performed to investigate the convergence of the maximum likelihood estimation. Three real-life data sets are used to demonstrate the flexibility and capacity of the new family of distributions.
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- Title
- The Ristic-Balakrishnan-Topp-Leone-Gompertz-G Family of Distributions with Applications
- Publication Details
- Journal of statistical theory and applications, Vol.22(1-2), pp.116-150
- Resource Type
- Journal article
- Publisher
- Springer Nature
- Format
- link
- Copyright
- © 2023, The Author(s)
- Identifiers
- WOS:000976309100001; 99380499097206600
- Academic Unit
- Hal Marcus College of Science and Engineering ; Mathematics and Statistics
- Language
- English