A Distribution for Instantaneous Failures

Pedro L. Ramos and Francisco Louzada
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Pedro L. Ramos: Institute of Mathematical Science and Computing, University of São Paulo, São Carlos 13565-905, Brazil
Francisco Louzada: Institute of Mathematical Science and Computing, University of São Paulo, São Carlos 13565-905, Brazil

Stats, 2019, vol. 2, issue 2, 1-12

Abstract: A new one-parameter distribution is proposed in this paper. The new distribution allows for the occurrence of instantaneous failures (inliers) that are natural in many areas. Closed-form expressions are obtained for the moments, mean, variance, a coefficient of variation, skewness, kurtosis, and mean residual life. The relationship between the new distribution with the exponential and Lindley distributions is presented. The new distribution can be viewed as a combination of a reparametrized version of the Zakerzadeh and Dolati distribution with a particular case of the gamma model and the occurrence of zero value. The parameter estimation is discussed under the method of moments and the maximum likelihood estimation. A simulation study is performed to verify the efficiency of both estimation methods by computing the bias, mean squared errors, and coverage probabilities. The superiority of the proposed distribution and some of its concurrent distributions are tested by analyzing four real lifetime datasets.

Keywords: one-parameter distribution; maximum likelihood estimation; lifetime distribution (search for similar items in EconPapers)
JEL-codes: C1 C10 C11 C14 C15 C16 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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