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A Test for Comparing Two Discrete Stochastic Dynamical Systems Under Heteroskedasticity

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Autor(es):
Salcedo, Gladys E. ; Morettin, Pedro A. ; Toloi, Clelia M. C.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS; v. 19, n. 3, p. 26-pg., 2011-07-01.
Resumo

In this paperwe develop a statistic test in order to compare two discrete stochastic dynamical systems with autoregressive structures under heteroskedasticity, more specifically the variance of the errors follows a general function depending on time. The random disturbances or errors can also be contemporaneously correlated through some structure varying in time. The approach is based on a Wald test and we present three consistent estimates for the asymptotic covariance matrix. The study of the asymptotic properties is based on the L-p-mixingale processes theory since we consider errors generated from martingale difference processes. In order to evaluate the performance of the test in finite samples, we ran some simulations with satisfactory results. A real application is also provided. (AU)

Processo FAPESP: 08/51097-6 - Séries temporais, análise de dependência e aplicações
Beneficiário:Pedro Alberto Morettin
Modalidade de apoio: Auxílio à Pesquisa - Temático