Consistency and asymptotic normality of Maximum Likelihood estimators of Autoregressive Random Coefficient Models

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Date

2020

Journal Title

Journal ISSN

Volume Title

Publisher

ummto

Abstract

his dissertation is devoted to the study of some properties of the random coefficient au- toregressive process. This process is commonly referred to as a sequence 89ffully described by its past values multiplied by random coefficients and disturbed by white noise. We treat some problems of the study of such processes: stationarity, conditions of existence of a stationary solution and unknown parameters estimation. We end this work with sim- ulations carried out by the R languag

Description

89f.,ill.;30cm

Keywords

Estimation, Autoregressive models, Random Coefficients autoregressive, Maximum likelihood estimation

Citation

probabilités et statistiques