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A Note on a Generalization of the Exponentiated Pareto Distribution
-
Ibrahim Elbatal
und
Faton Merovci
Veröffentlicht/Copyright:
15. August 2014
Abstract
In this paper we introduce the so-called McDonald Exponentiated Pareto distribution. We provide a number of mathematical properties of this distribution and derive among others expressions for its moment-generating function, the rth moment, and the Renyi entropy. Finally, we present the likelihood equations to support the application of the McDonald Exponentiated Pareto distribution. The aim of the paper is to introduce an interesting distribution which is distinguished by high flexibility with respect to skewness and tail behavior.
Keywords: McDonald Exponentiated Pareto Distribution; Hazard Function; Moment-Generating Function; Maximum Likelihood Estimation
Received: 2014-4-17
Published Online: 2014-8-15
Published in Print: 2014-6-1
©2014 Walter de Gruyter Berlin/Boston
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Artikel in diesem Heft
- Frontmatter
- Acceptance Sampling Plans for Percentiles Assuming the Linear Failure Rate Distribution
- The Conditional Distribution of Waiting Time Given Queue Length
- Posterior Control Chart for Process Average under Conjugate Prior Distribution
- Bayesian Reliability Sampling Plans under the Conditions of Rayleigh-Inverse-Rayleigh Distribution
- Inferences of the Lifetime Performance Index with Lomax Distribution Based on Progressive Type-II Censored Data
- Acceptance Sampling Plan Based on Truncated Life Tests for Three Parameter Kappa Distribution
- Bhattacharrya and Kshirsagar Lower Bounds for the Natural Exponential Family (NEF)
- A Note on a Generalization of the Exponentiated Pareto Distribution
Schlagwörter für diesen Artikel
McDonald Exponentiated Pareto Distribution;
Hazard Function;
Moment-Generating Function;
Maximum Likelihood Estimation
Artikel in diesem Heft
- Frontmatter
- Acceptance Sampling Plans for Percentiles Assuming the Linear Failure Rate Distribution
- The Conditional Distribution of Waiting Time Given Queue Length
- Posterior Control Chart for Process Average under Conjugate Prior Distribution
- Bayesian Reliability Sampling Plans under the Conditions of Rayleigh-Inverse-Rayleigh Distribution
- Inferences of the Lifetime Performance Index with Lomax Distribution Based on Progressive Type-II Censored Data
- Acceptance Sampling Plan Based on Truncated Life Tests for Three Parameter Kappa Distribution
- Bhattacharrya and Kshirsagar Lower Bounds for the Natural Exponential Family (NEF)
- A Note on a Generalization of the Exponentiated Pareto Distribution
