Improved Approximations for the Distributions of Multinomial Goodness-of-fit Statistics Based on φ-divergence under Nonlocal Alternatives-Reference-Cited by-同舟云学术

Improved Approximations for the Distributions of Multinomial Goodness-of-fit Statistics Based on φ-divergence under Nonlocal Alternatives

Published:2012 Issue:2 Volume:41 Page:121-142
ISSN:1348-6365
Container-title:JOURNAL OF THE JAPAN STATISTICAL SOCIETY
language:en
Short-container-title:JJSS

Author:

Htwe Pan Ei¹,Taneichi Nobuhiro²,Sekiya Yuri³

Affiliation:

1. Department of System Information Science, Graduate School of Science and Engineering, Kagoshima University

2. Department of Mathematics and Computer Science, Graduate School of Science and Engineering (Science course), Kagoshima University

3. Kushiro Campus, Hokkaido University of Education

Publisher

The Japan Statistical Society

Link

https://www.jstage.jst.go.jp/article/jjss/41/2/41_121/_pdf

Reference21 articles.

1. (1)Ali, S. M. and Silvey, S. D. (1966). A general class of coefficients of divergence of one distribution from another, J. Roy. Statist. Soc. B, 28, 131–142.

2. (2)Assylbekov, Z. (2010). Convergence rate of multinomial goodness-of-fit statistics to chi-square distribution, Hiroshima Math. J., 40, 115–131.

3. (3)Bhattacharya, R. N. and Ranga Rao, R. (1976). Normal Approximation and Asymptotic Expansions, Wiley, New York.

4. (4)Broffitt, J. D. and Randles, R. H. (1977). A power approximation for the chi-square goodness-of-fit test: simple hypothesis case, J. Amer. Statist. Assoc., 72, 604–607.

5. (5)Cressie, N. and Read, T. R. C. (1984). Multinomial goodness-of-fit tests, J. R. Statist. Soc. B, 46, 440–464.

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