A New Regression Model on the Unit Interval: Properties, Estimation, and Application

被引：0
作者：
Benites, Yury R. [1 ]
Cancho, Vicente G. [1 ]
Ortega, Edwin M. M. [2 ]
Vila, Roberto [3 ]
Cordeiro, Gauss M. [4 ]
机构：
[1] Univ Sao Paulo, Dept Appl Math & Stat, BR-13566590 Sao Carlos, Brazil
[2] Univ Sao Paulo, Dept Exact Sci, BR-13418900 Piracicaba, Brazil
[3] Univ Brasilia, Dept Stat, BR-70910900 Brasilia, Brazil
[4] Univ Fed Pernambuco, Dept Stat, BR-50670901 Recife, Brazil
来源：
MATHEMATICS | 2022年 / 10卷 / 17期
关键词：
Bayesian inference; generalized extreme value distribution; Johnson S-B distribution; regression model; BAYESIAN-ANALYSIS; BETA REGRESSION; DISTRIBUTIONS; VARIABLES; RATES;
D O I：
10.3390/math10173198
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new and flexible distribution is introduced for modeling proportional data based on the quantile of the generalized extreme value distribution. We obtain explicit expressions for the moments, quantiles, and other structural properties. An extended regression model is constructed as an alternative to compete with the beta regression. Some simulations from the Bayesian perspectives are developed, and an illustrative application to real data involving the comparison of models and influence diagnostics is also addressed.
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页数：17
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共 34 条
  • [1] [Anonymous], 1992, Technical report
  • [2] SOME PARAMETRIC MODELS ON THE SIMPLEX
    BARNDORFFNIELSEN, OE
    JORGENSEN, B
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1991, 39 (01) : 106 - 116
  • [3] A quantile parametric mixed regression model for bounded response variables
    Bayes, Cristian L.
    Bazan, Jorge L.
    De Castro, Mario
    [J]. STATISTICS AND ITS INTERFACE, 2017, 10 (03) : 483 - 493
  • [4] Brooks SP, 2002, J R STAT SOC B, V64, P616
  • [5] A new class of regression model for a bounded response with application in the study of the incidence rate of colorectal cancer
    Cancho, Vicente G.
    Bazan, Jorge L.
    Dey, Dipak K.
    [J]. STATISTICAL METHODS IN MEDICAL RESEARCH, 2020, 29 (07) : 2015 - 2033
  • [6] Bayesian nonlinear regression models with scale mixtures of skew-normal distributions: Estimation and case influence diagnostics
    Cancho, Vicente G.
    Dey, Dipak K.
    Lachos, Victor
    Andrade, Marinho G.
    [J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2011, 55 (01) : 588 - 602
  • [7] On estimation and influence diagnostics for log-Birnbaum-Saunders Student-t regression models: Full Bayesian analysis
    Cancho, Vicente G.
    Ortega, Edwin M. M.
    Paula, Gilberto A.
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (09) : 2486 - 2496
  • [8] Carlin BP., 1996, BAYES EMPIRICAL BAYE
  • [9] Errors-in-variables beta regression models
    Carrasco, Jalmar M. F.
    Ferrari, Silvia L. P.
    Arellano-Valle, Reinaldo B.
    [J]. JOURNAL OF APPLIED STATISTICS, 2014, 41 (07) : 1530 - 1547
  • [10] UNDERSTANDING THE METROPOLIS-HASTINGS ALGORITHM
    CHIB, S
    GREENBERG, E
    [J]. AMERICAN STATISTICIAN, 1995, 49 (04) : 327 - 335
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