Asymptotic Error Bounds for Power Approximations to Multinomial Tests of Fit
作者： F. C. Drost , W. C. M. Kallenberg , D. S. Moore , J. Oosterhoff
DOI: 10.1007/978-1-4612-3678-8_30
关键词:
摘要: The Cressie-Read (1984) class of goodness-of-fit tests is considered. Asymptotic error bounds are derived for two new non-local approximations, the classical noncentral X 2 approximation, a moment-corrected version it and normal approximations to power these tests.
core.ac.uk
springer.com
springerlink.com参考文章(16)
Noel Cressie, Timothy R.C. Read, Multinomial goodness-of-fit tests Journal of the royal statistical society series b-methodological. ,vol. 46, pp. 440- 464 ,(1984) , 10.1111/J.2517-6161.1984.TB01318.X
W.R. vanZwet, D.M. Chibisov, On the Edgeworth expansion for the logarithm of the likelihood ratio Department of Mathematical Statistics. pp. 1- 13 ,(1984)
Timothy R. C. Read, Closer asymptotic approximations for the distributions of the power divergence goodness-of-fit statistics Annals of the Institute of Statistical Mathematics. ,vol. 36, pp. 59- 69 ,(1984) , 10.1007/BF02481953
Rabi N. Bhattacharya, R. Ranga Rao, Normal Approximation and Asymptotic Expansions ,(1976)
Carl Morris, CENTRAL LIMIT THEOREMS FOR MULTINOMIAL SUMS Annals of Statistics. ,vol. 3, pp. 165- 188 ,(1975) , 10.1214/AOS/1176343006
Takesi Hayakawa, The likelihood ratio criterion and the asymptotic expansion of its distribution Annals of the Institute of Statistical Mathematics. ,vol. 29, pp. 359- 378 ,(1977) , 10.1007/BF02532797
Timothy R.C. Read, Small-Sample Comparisons for the Power Divergence Goodness-of-Fit Statistics Journal of the American Statistical Association. ,vol. 79, pp. 929- 935 ,(1984) , 10.1080/01621459.1984.10477113
Kinley Larntz, Small-Sample Comparisons of Exact Levels for Chi-Squared Goodness-of-Fit Statistics Journal of the American Statistical Association. ,vol. 73, pp. 253- 263 ,(1978) , 10.1080/01621459.1978.10481567
David R. Cox, Nancy Reid, Approximations to noncentral distributions Canadian Journal of Statistics-revue Canadienne De Statistique. ,vol. 15, pp. 105- 114 ,(1987) , 10.2307/3315199
F. C. Drost, W. C. M. Kallenberg, D. S. Moore, J. Oosterhoff, Power Approximations to Multinomial Tests of Fit Journal of the American Statistical Association. ,vol. 84, pp. 130- 141 ,(1989) , 10.1080/01621459.1989.10478748