Bootstrap approximation on the statistics for the slope parameter of a stationary first-order autoregressive model

Date of Publication

1992

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Applied Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

The aim of this paper is to apply and examine the bootstrap approximation of the T-Statistic often used for testing hypothesis on the slope parameter, B in the stationary first order autoregressive model,Y t = + a + By t-1 + Et.The results obtained are compared with the Student-t approximation. Bootstrap is accomplished by resampling from the data values, with replacement and then recomputing the original statistic. It is a computer based simulation method which is used in assessing repeated sampling properties of a statistical procedure.A computer program, using Turbo Pascal Version 5.0, is formulated to provide all necessary simulations, calculations and estimations.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU05713

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

89 numb. leaves

Keywords

Bootstrap theory (Nuclear physics); Statistical hypothesis testing; Approximation theory; Mathematical statistics

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