The Exact and Asymptotic Distributions of Cramérâ Von Mises Statistics
dc.contributor.author | Csörgő, Sándor | |
dc.contributor.author | Faraway, Julian J. | |
dc.date.accessioned | 2019-01-15T20:24:05Z | |
dc.date.available | 2019-01-15T20:24:05Z | |
dc.date.issued | 1996-01 | |
dc.identifier.citation | Csörgő, Sándor ; Faraway, Julian J. (1996). "The Exact and Asymptotic Distributions of Cramérâ Von Mises Statistics." Journal of the Royal Statistical Society: Series B (Methodological) 58(1): 221-234. | |
dc.identifier.issn | 0035-9246 | |
dc.identifier.issn | 2517-6161 | |
dc.identifier.uri | https://hdl.handle.net/2027.42/146839 | |
dc.publisher | Dover Publications | |
dc.publisher | Wiley Periodicals, Inc. | |
dc.subject.other | asymptotic expansions | |
dc.subject.other | cramérâ von mises statistic | |
dc.subject.other | small sample distributions | |
dc.subject.other | watson’s statistic | |
dc.title | The Exact and Asymptotic Distributions of Cramérâ Von Mises Statistics | |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | |
dc.subject.hlbsecondlevel | Mathematics | |
dc.subject.hlbtoplevel | Science | |
dc.description.peerreviewed | Peer Reviewed | |
dc.description.bitstreamurl | https://deepblue.lib.umich.edu/bitstream/2027.42/146839/1/rssb02077.pdf | |
dc.identifier.doi | 10.1111/j.2517-6161.1996.tb02077.x | |
dc.identifier.source | Journal of the Royal Statistical Society: Series B (Methodological) | |
dc.identifier.citedreference | Smimov, N. V. ( 1937 ) On the distribution of Mises’ Ï 2 â criterion (in Russian). Mat. Sb. (Nov. Ser.), 2, 973 â 993. | |
dc.identifier.citedreference | Knott, M. ( 1974 ) The distribution of the Cramérâ von Mises statistic for small sample sizes. J. R. Statist. Soc. B, 36, 430 â 438. | |
dc.identifier.citedreference | Marshall, A. W. ( 1958 ) The small sample distribution of n Ï 2 n. Ann. Math. Statist., 29, 307 â 309. | |
dc.identifier.citedreference | Martynov, G. V. ( 1978 ) Omegaâ square Criteria (in Russian). Moscow: Nauka. | |
dc.identifier.citedreference | von Mises, R. ( 1931 ) Wahrscheinlichkeitsrechnung und ihre Anwendung in der Statistik und Theoretischen Physik. Leipzig: Deuticke. | |
dc.identifier.citedreference | von Mises, R. ( 1947 ) Differentiable statistical functions. Ann. Math. Statist., 18, 309 â 348. | |
dc.identifier.citedreference | Oberhettinger, F. and Badii, L. ( 1973 ) Tables of Laplace Transforms. New York: Springer. | |
dc.identifier.citedreference | Prokhorov, Yu. V. ( 1968 ) An extension of S. N. Bernstein’s inequalities to the multidimensional case. Theory Probab. Applic., 13, 260 â 267. | |
dc.identifier.citedreference | Smimov, N. V. ( 1936 ) Sur la distribution de Ï 2 (critérium de M. R. v. Mises). C. R. Acad. Sci. Paris, 202, 449 â 452. | |
dc.identifier.citedreference | Pearson, E. S. and Stephens, M. A. ( 1962 ) The goodnessâ ofâ fit tests based on W 2 n and U 2 n. Biometrika, 49, 397 â 402. | |
dc.identifier.citedreference | Stephens, M. A. ( 1963 ) The distribution of the goodnessâ ofâ fit statistic U 2 n: I. Biometrika, 50, 303 â 313. | |
dc.identifier.citedreference | Stephens, M. A. ( 1964 ) The distribution of the goodnessâ ofâ fit statistic U 2 n: II. Biometrika, 51, 393 â 397. | |
dc.identifier.citedreference | Stephens, M. A. ( 1970 ) Use of the Kolmogorovâ Smirnov, Cramérâ von Mises and related statistics without extensive tables. J. R. Statist. Soc. B, 32, 115 â 122. | |
dc.identifier.citedreference | Stephens, M. A. and Maag, U. R. ( 1968 ) Further percentage points for W 2 n. Biometrika, 55, 428 â 430. | |
dc.identifier.citedreference | Tiku, M. L. ( 1965 ) Chiâ square approximations for the distributions of goodnessâ ofâ fit statistics W 2 n and U 2 n. Biometrika, 52, 630 â 633. | |
dc.identifier.citedreference | Watson, G. N. ( 1966 ) A Treatise on the Theory of Bessel Functions, 2nd edn. Cambridge: Cambridge University Press. | |
dc.identifier.citedreference | Watson, G. S. ( 1961 ) Goodnessâ ofâ fit tests on a circle. Biometrika, 48, 109 â 114. | |
dc.identifier.citedreference | Zitikis, R. ( 1988 ) Asymptotic expansions in the local limit theorem for Ï 2 n statistics (in Russian). Litovsk. Mat. Sb., 28, 461 â 474. | |
dc.identifier.citedreference | Zitikis, R. ( 1989 ) Asymptotic expansions for the derivatives of the Andersonâ Darling statistic’s distribution function (in Russian). Litovsk. Mat. Sb., 29, 33 â 53. | |
dc.identifier.citedreference | van Zwet, W. R. ( 1977 ) Asymptotic expansions for the distribution functions of linear combinations of order statistics. In Statistical Decision Theory and Related Topics II (eds S. S. Gupta and D. S. Moore ), pp. 421 â 437. New York: Academic Press. | |
dc.identifier.citedreference | Abramowitz, M. and Stegun, I. A. ( 1973 ) Handbook of Mathematical Functions. New York: Dover Publications. | |
dc.identifier.citedreference | Anderson, T. W. and Darling, D. A. ( 1952 ) Asymptotic theory of certain â goodness of fitâ criteria based on stochastic processes. Ann. Math. Statist., 23, 193 â 212. | |
dc.identifier.citedreference | Bentkus, V., Götze, F. and Zitikis, R. ( 1993 ) Asymptotic expansions in the integral and local limit theorems in Banach spaces with applications to Ï statistics. J. Theor. Probab., 6, 727 â 780. | |
dc.identifier.citedreference | Bentkus, V. and Zitikis, R. ( 1988 ) Remark on the Cramérâ von Misesâ Smirnov criterion. Lith. Math. J., 28, 8 â 13. | |
dc.identifier.citedreference | Cramér, H. ( 1928 ) On the composition of elementary errors: II, Statistical applications. Skand. Akt., 11, 141 â 180. | |
dc.identifier.citedreference | CsörgÅ , S. ( 1975 ) Asymptotic expansion for the Laplace transform of the von Mises Ï 2 criterion. Theory Probab. Applic., 20, 158 â 161. | |
dc.identifier.citedreference | CsörgÅ , S. ( 1976 ) On an asymptotic expansion for the von Mises Ï 2 statistic. Acta Sci. Math. (Szeged), 38, 45 â 67. | |
dc.identifier.citedreference | CsörgÅ , S. and Stachó, L. ( 1980 ) A step toward an asymptotic expansion for the Cramérâ von Mises statistic. In Colloq. Math. Soc. J. Bolyai, 21, 53 â 65. | |
dc.identifier.citedreference | Darling, D. A. ( 1960 ) On the theorems of Kolmogorovâ Smirnov. Theory Probab. Applic., 5, 356 â 361. | |
dc.identifier.citedreference | Durbin, J. ( 1973 ) Distribution theory for tests based on the sample distribution function. Regl Conf. Ser. Appl. Math., 9. | |
dc.identifier.citedreference | Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G. ( 1954 ) Tables of Integral Transforms, vol. 1. New York: McGrawâ Hill. | |
dc.identifier.citedreference | Götze, F. ( 1979 ) Asymptotic expansions for bivariate von Mises functionals. Z. Wahrsch. Ver. Geb., 50, 333 â 355. | |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.