Article
The Power Muth Distribution
Author/s | Jodrá Esteban, Pedro
Wladimir Gómez, Héctor Jiménez Gamero, María Dolores ![]() ![]() ![]() ![]() ![]() ![]() ![]() Alba Fernández, María Virtudes |
Department | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Publication Date | 2017-03-01 |
Deposit Date | 2023-03-13 |
Published in |
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Abstract | Muth introduced a probability distribution with application in relia-bility theory. We propose a new model from the Muth law. This paper studies itsstatistical properties, such as the computation of the moments, ... Muth introduced a probability distribution with application in relia-bility theory. We propose a new model from the Muth law. This paper studies itsstatistical properties, such as the computation of the moments, computer generationof pseudo-random data and the behavior of the failure rate function, among others.The estimation of parameters is carried out by the method of maximum likelihoodand a Monte Carlo simulation study assesses the performance of this method. Thepractical usefulness of the new model is illustrated by means of two real data sets,showing that it may provide a better fit than other probability distributions. |
Citation | Jodrá Esteban, P., Wladimir Gómez, H., Jiménez Gamero, M.D. y Alba Fernández, M.V. (2017). The Power Muth Distribution. Mathematical modelling and analysis, 22 (2), 186-201. https://doi.org/10.3846/13926292.2017.1289481. |
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