Fourier Series Approximation for the Generalized Baumgartner Statistic
- Authors
- 하형태
- Issue Date
- 2012
- Publisher
- 한국통계학회
- Keywords
- Fourier series approximation; generalized Baumgartner statistic; Laplace transform; limiting distributions; saddlepoint approximation.
- Citation
- Communications for Statistical Applications and Methods, v.19, no.3, pp.451 - 457
- Journal Title
- Communications for Statistical Applications and Methods
- Volume
- 19
- Number
- 3
- Start Page
- 451
- End Page
- 457
- URI
- https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/17364
- ISSN
- 2287-7843
- Abstract
- Baumgartner et al. (1998) proposed a novel statistical test for the null hypothesis that two independently drawn samples of data originate from the same population,and Murakami (2006) generalized the test statistic for more than two samples.
Whereas the expressions of the exact density and distribution functions of the generalized Baumgartner statistic are not yet found,the characteristic function of its limiting distribution has been obtained.
Due to the development of computational power, the Fourier series approximation can be readily utilized to accurately and efficiently approximate its density function based on its Laplace transform.
Numerical examples show that the Fourier series method provides an accurate approximation for statistical quantities of the generalized Baumgartner statistic.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - 사회과학대학 > 응용통계학과 > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.