Robust statistical modeling using the Birnbaum-Saunders-t distribution applied to insurance


Autoria(s): Paula, Gilberto A.; Leiva, Victor; Barros, Michelli; Liu, Shuangzhe
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

05/11/2013

05/11/2013

2012

Resumo

In this paper, we carry out robust modeling and influence diagnostics in Birnbaum-Saunders (BS) regression models. Specifically, we present some aspects related to BS and log-BS distributions and their generalizations from the Student-t distribution, and develop BS-t regression models, including maximum likelihood estimation based on the EM algorithm and diagnostic tools. In addition, we apply the obtained results to real data from insurance, which shows the uses of the proposed model. Copyright (c) 2011 John Wiley & Sons, Ltd.

CNPq [Casadinho 620150/2008-4, Universal-477747/2008-6, PROSUL-490429/2008-4, INCTMat 57.33523/2008-8]

CNPq

FAPESP, Brazil

FAPESP (Brazil)

FONDECYT (Chile)

FONDECYT, Chile [1080326]

Identificador

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, HOBOKEN, v. 28, n. 1, supl. 4, Part 1, pp. 16-34, JAN-FEB, 2012

1524-1904

http://www.producao.usp.br/handle/BDPI/41435

10.1002/asmb.887

http://dx.doi.org/10.1002/asmb.887

Idioma(s)

eng

Publicador

WILEY-BLACKWELL

HOBOKEN

Relação

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY

Direitos

restrictedAccess

Copyright WILEY-BLACKWELL

Palavras-Chave #EM ALGORITHM #GENERALIZED BIRNBAUM-SAUNDERS AND SINH-NORMAL DISTRIBUTIONS #INFLUENCE DIAGNOSTICS #LIKELIHOOD METHODS #LOG-LINEAR MODELS #ROBUSTNESS #REGRESSION-MODELS #INFLUENCE DIAGNOSTICS #MAXIMUM-LIKELIHOOD #LIFE DISTRIBUTIONS #LOCAL INFLUENCE #INCOMPLETE-DATA #EM-ALGORITHM #ESTIMATOR #FAMILY #OPERATIONS RESEARCH & MANAGEMENT SCIENCE #MATHEMATICS, INTERDISCIPLINARY APPLICATIONS #STATISTICS & PROBABILITY
Tipo

article

original article

publishedVersion