The Exponentiated Half-Logistic Family of Distributions: Properties and Applications

By Gauss Moutinho Cordeiro, Morad Alizadeh, Edwin M. M. Ortega. 2014

143 citations recorded by the source corpus.

We study some mathematical properties of a new generator of continuous distributions with two extra parameters called the exponentiated half-logistic family. We present some special models. We investigate the shapes of the density and hazard rate function. We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Bonferroni and Lorenz curves, Shannon and Renyi entropies, and order statistics, which hold for any baseline model. We introduce two bivariate extensions of this family. We discuss the estimation of the model parameters by maximum likelihood and demonstrate the potentiality of the new family by means of two real data sets.

Subfields: Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/3d38a6f79eaac7747df0eeeebb0e5de5b2dc586e

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In Global and Planetary Change

In Statistics and Probability

Citations in the corpus

Type II Half Logistic Family of Distributions with Applications (2017, unknown): “1 Quantile function Let X denotes a random variable has the pdf (6), the quantile function, say ( ) Q u of X is given by 1 1 ( ) , (7) 2 u Q u G u           where, u is a uniform distribution on the interval   0,1 and (1)(.”
The exponentiated transmuted-G family of distributions: Theory and applications (2017, methodology): “© Taylor & Francis Group, LLC by Cordeiro et al. (2014), Kumaraswamy Odd log-logistic-G by Alizadeh et al. (2015), Kumaraswamy Marshall–Olkin by Alizadeh et al. (2015), beta Marshall–Olkin by Alizadeh et al. (2015), Kummer-beta generalized distributions by Pescim et al. (2012), a new family of…”
The Kumaraswamy Marshal-Olkin family of distributions (2015, methodology): “[15], T-X{Y}-quantile based approach by Aljarrah et al.”
Generalized Transmuted Family of Distributions: Properties and Applications (2017, methodology): “[15], Kumaraswamy Odd log-logistic by Alizadeh et al.”
A New Weibull-G Family of Distributions (2015, methodology): “[11], T-X{Y}-quantile based approach by Aljarrah et al.”
A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications (2014, background): “…proposed the McDonald normal (McN) distribution, Cordeiro et al. (2014b) defined the Libby-Novick beta Weibull (LNBW) distribution, Cordeiro et al. (2014c) studied the McDonald Weibull (McW) distribution and Cordeiro et al. (2014d) introduced the Kummaraswamy modified Weibull (KwMW) distribution.”
Odd Generalized N-H Generated Family of Distributions with Application to Exponential Model (2020, unknown): “…et al. (2013), Transformed-Transformer (T-X) by Alzaatreh et al. (2013), Weibull-G by Bourguignon et al. (2014), exponentiated half-logistic-G by Cordeiro et al. (2014), odd generalized exponential by Tahir (2015),beta odd log-logistic generalized by Cordeiro et al. (2016), Garhy-G by Elgarhy…”