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The type I half-logistic family of distributions

Cordeiro, Gauss M. ; Alizadeh, Morad ; Diniz Marinho, Pedro Rafael

Journal of statistical computation and simulation, 2016-03, Vol.86 (4), p.707-728 [Periódico revisado por pares]

Abingdon: Taylor & Francis

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Título:
The type I half-logistic family of distributions
Autor: Cordeiro, Gauss M. ; Alizadeh, Morad ; Diniz Marinho, Pedro Rafael
Assuntos: Asymptotic properties ; Computer simulation ; Density ; Entropy (Information) ; half-logistic distribution ; Mathematical analysis ; Mathematical models ; Mathematics ; maximum likelihood ; Maximum likelihood method ; moment ; Normal distribution ; order statistic ; quantile function ; Quantiles ; Rényi entropy ; Statistics
É parte de: Journal of statistical computation and simulation, 2016-03, Vol.86 (4), p.707-728
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
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Descrição: We study general mathematical properties of a new class of continuous distributions with an extra positive parameter called the type I half-logistic family. We present some special models and investigate the asymptotics and shapes. The new density function can be expressed as a linear combination of exponentiated densities based on the same baseline distribution. We derive a power series for the quantile function. Explicit expressions for the ordinary and incomplete moments, quantile and generating functions, Bonferroni and Lorenz curves, Shannon and Rényi entropies and order statistics are determined. We introduce a bivariate extension of the new family. We discuss the estimation of the model parameters by maximum likelihood and illustrate its potentiality by means of two applications to real data.
Editor: Abingdon: Taylor & Francis
Idioma: Inglês

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The type I half-logistic family of distributions

Cordeiro, Gauss M. ; Alizadeh, Morad ; Diniz Marinho, Pedro Rafael

Abingdon: Taylor & Francis

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