The beta odd log-logistic generalized family of distributions

Gauss M Cordeiro; Morad ALİZADEH; M.h. TAHİR; M. MANSOOR; Marcelo BOURGUİGNON; G.g. HAMEDANİ

Article Details

The beta odd log-logistic generalized family of distributions

Authors:

Gauss M Cordeiro | Morad ALİZADEH | M.h. TAHİR | M. MANSOOR | Marcelo BOURGUİGNON | G.g. HAMEDANİ

Publisher:

Hacettepe University

Main Topics:

Analysis

Journal:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 4, pp.1175-1202

Document Type:

Article

Publication Date:

7/2016

Document Language:

English

Document ID (Org No.):

2000452564

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

Abstract:

 


We introduce a new family of continuous models called thelog-logistic generalized familymathematical properties.of distributions.beta oddWe study some of itsIts density function can be symmetrical,left-skewed, right-skewed, reversed-J, unimodal and bimodal shaped,and has constant, increasing, decreasing, upside-down bathtub andJ-shaped hazard rates.Five special models are discussed.We ob-tain explicit expressions for the moments, quantile function, momentgenerating function, mean deviations, order statistics, Rényi entropyand Shannon entropy. We discuss simulation issues, estimation by themethod of maximum likelihood, and the method of minimum spacingdistance estimator. We illustrate the importance of the family by meansof two applications to real data sets.

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Article Details

The beta odd log-logistic generalized family of distributions

Authors: Gauss M Cordeiro | Morad ALİZADEH | M.h. TAHİR | M. MANSOOR | Marcelo BOURGUİGNON | G.g. HAMEDANİ

Publisher: Hacettepe University

Main Topics: Analysis

Journal: Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 4, pp.1175-1202

Document Type: Article

Publication Date: 7/2016

Document Language: English

Document ID (Org No.): 2000452564

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

Issues

Authors:

Gauss M Cordeiro | Morad ALİZADEH | M.h. TAHİR | M. MANSOOR | Marcelo BOURGUİGNON | G.g. HAMEDANİ

Publisher:

Hacettepe University

Main Topics:

Analysis

Journal:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 4, pp.1175-1202

Document Type:

Article

Publication Date:

7/2016

Document Language:

English

Document ID (Org No.):

2000452564

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X