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Bambang Suprihatin

Sriwijaya University



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Suryo Guritno

Gadjah Mada University



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Sri Haryatmi

Gadjah Mada University



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684 – Stochastic Processes in Computation and Inference

Asymptotic Properties of Bootstrap Parameter Estimator for the AR(2) Model

Sponsor: IMS
Keywords: convergence, delta method, limiting distribution, multivariate normal distribution

Bambang Suprihatin

Sriwijaya University

Suryo Guritno

Gadjah Mada University

Sri Haryatmi

Gadjah Mada University

This paper is the extension of our research about asymptotic distribution of the bootstrap parameter estimator for the AR(1) model. We investigate the asymptotic distribution of the bootstrap parameter estimator of a second order autoregressive AR(2) model by applying the delta method. The asymptotic distribution is the crucial property in inference of statistics. We conclude that the bootstrap parameter estimators of the AR(2) model asymptotically converge in distribution to the normal distribution.

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