Consistency of The Bootstrap Parameter Estimator for AR(1) Process

Suprihatin, Bambang and Guritno, Suryo and Haryatmi, Sri Consistency of The Bootstrap Parameter Estimator for AR(1) Process. In: Proceeding IMS APRM. IMS APRM.

[thumbnail of Paper-IMS_APRM_Taipei_2014-Revised.pdf]
Preview
Text
Paper-IMS_APRM_Taipei_2014-Revised.pdf

Download (390kB) | Preview
Official URL: http://ims-aprm2014.tw/

Abstract

In this paper we investigated the asymptotic distribution of the bootstrap parameter estimator of a first order autoregressive AR(1) model. We described the asymptotic distribution of such estimator by applying the delta method and employing two different approaches, and concluded that the two approaches lead to the same conclusion, viz. both results converge in distribution to a normal distribution. We also presented the Monte Carlo simulation of the residuals bootstrap and application with real data was carried out in order to yield apparent conclusions.

Item Type: Book Section
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics > QA21 Calculus. MATHEMATICS
Divisions: 08-Faculty of Mathematics and Natural Science > 44201-Mathematics (S1)
Depositing User: Mr Bambang Suprihatin
Date Deposited: 11 Dec 2019 06:17
Last Modified: 11 Dec 2019 06:17
URI: http://repository.unsri.ac.id/id/eprint/21211

Actions (login required)

View Item View Item