A matrix formula for the skewness of maximum likelihood estimators


Autoria(s): PATRIOTA, Alexandre G.; CORDEIRO, Gauss M.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2011

Resumo

We give a general matrix formula for computing the second-order skewness of maximum likelihood estimators. The formula was firstly presented in a tensorial version by Bowman and Shenton (1998). Our matrix formulation has numerical advantages, since it requires only simple operations on matrices and vectors. We apply the second-order skewness formula to a normal model with a generalized parametrization and to an ARMA model. (c) 2010 Elsevier B.V. All rights reserved.

FAPESP

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

CNPQ (Brazil)

Identificador

STATISTICS & PROBABILITY LETTERS, v.81, n.4, p.529-537, 2011

0167-7152

http://producao.usp.br/handle/BDPI/30763

10.1016/j.spl.2010.12.009

http://dx.doi.org/10.1016/j.spl.2010.12.009

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

Relação

Statistics & Probability Letters

Direitos

restrictedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #Asymptotic expansion #Matrix operation #Maximum likelihood estimator #Skewness #Statistics & Probability
Tipo

article

original article

publishedVersion