The One-Parameter Odd Lindley Exponential Model: Mathematical Properties and Applications

Abstract

Abstract:In this article, an exponential model with only one shape parameter, which can be used in modeling survival data, reliability problems and fatigue life studies, is studied. We derive explicit expressions for some of its statistical and mathematical quantities including the ordinary moments, generating function, incomplete moments, order statistics, moment of residual life and reversed residual life. The model parameter is estimated by using the maximum likelihood method. A real data application is given to illustrate the flexibility of the model. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study.

A New Version of the Exponentiated Exponential Distribution: Copula, Properties and Application to Relief and Survival Times

“…the survival times (in days) of 72 guinea pigs infected with virulent tubercle bacilli, observed and reported by Bjerkedal [17]. [19], [22], [18], [47], [45], [63], [23], [24], [25], [65], [38], [61], [37], [7]. Figure 9 gives the estimated PDF (E-PDF), E-CDF, E-HRF and P-P plot survival times data.…”

A Generalization of Binomial Exponential-2 Distribution: Copula, Properties and Applications

“…Some bivariate-and multivariate- 6, we note that the EBE distribution gives adequate fits. Many symmetric and near symmetric real-life data sets can be modeled using the new EBE model and found in [25][26][27][28][29][30][31][32][33][34][35][36]. For other right heavy tailed real data sets see [37][38][39][40][41][42][43][44][45].…”

“…Based on Figure6, we note that the EBE distribution gives adequate fits. Many symmetric and near symmetric real-life data sets can be modeled using the new EBE model and found in[25][26][27][28][29][30][31][32][33][34][35][36]. For other right heavy tailed real data sets see[37][38][39][40][41][42][43][44][45].…”

Characterizations and Infinite Divisibility of Certain Recently Introduced Distributions IV

“…The TIIOLE distribution of Korkmaz and Yousof (2017) is a special case of OL-G distribution of GomezSilva et al (2017), which has been characterized in Hamedani (2017a).…”