A new skew-bimodal distribution with applications

被引：10

作者：

Braga, Altemir da Silva ^{[1
]}

Cordeiro, Gauss M. ^{[2
]}

Ortega, Edwin M. M. ^{[1
]}

机构：

[1] Univ Sao Paulo, Dept Ciencias Exatas, Piracicaba, SP, Brazil

[2] Univ Fed Pernambuco, Dept Estat, Recife, PE, Brazil

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2018年 / 47卷 / 12期

关键词：

Log-logistic distribution; maximum-likelihood estimation; mean deviation; skew bimodality; skew distribution; FAMILY; MODELS;

D O I：

10.1080/03610926.2017.1343851

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The modeling and analysis of experiments is an important aspect of statistical work in a wide variety of scientific and technological fields. We introduce and study the odd log-logistic skew-normal model, which can be interpreted as a generalization of the skew-normal distribution. The new distribution can be used effectively in the analysis of experiments data since it accommodates unimodal, bimodal, symmetric, bimodal and right-skewed, and bimodal and left-skewed density function depending on the parameter values. We illustrate the importance of the new model by means of three real data sets in analysis of experiments.

引用

页码：2950 / 2968

页数：19

共 28 条

[1] Generalized beta-generated distributions [J].

Alexander, Carol ;

Cordeiro, Gauss M. ;

Ortega, Edwin M. M. ;

Maria Sarabia, Jose .

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2012, 56 (06) :1880-1897

[2]

[Anonymous], 1990, COURSE MODERN ANAL

[3] A doubly skewed normal distribution [J].

Arnold, Barry C. ;

Gomez, Hector W. ;

Salinas, Hugo S. .

STATISTICS, 2015, 49 (04) :842-858

[4]

Atkinson A.C., 1985, PLOTS TRANSFORMATION

[5] Statistical applications of the multivariate skew normal distribution [J].

Azzalini, A ;

Capitanio, A .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1999, 61 :579-602

[6]

AZZALINI A, 1985, SCAND J STAT, V12, P171

[7]

Bourguignon M., 2014, J DATA SCI, V12, P53, DOI DOI 10.6339/JDS.201401_12(1).0004

[8] AN ANALYSIS OF TRANSFORMATIONS [J].

BOX, GEP ;

COX, DR .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1964, 26 (02) :211-252

[9] The odd log–logistic normal distribution: Theory and applications in analysis of experiments [J].

da Silva Braga A. ;

Cordeiro G.M. ;

Ortega E.M.M. ;

Nilton da Cruz J. .

Journal of Statistical Theory and Practice, 2016, 10 (2) :311-335

[10] Some Skew-Symmetric Distributions Which Include the Bimodal Ones [J].

Cahoy, Dexter O. .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2015, 44 (03) :554-563

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