Orthogonal expansions for the generalized Cramér-von Mises statistics

Fernando López-Blázquez and Antonia Castaño-Martínez ()

Metrika: International Journal for Theoretical and Applied Statistics, 2004, vol. 60, issue 3, 221 pages

Abstract: We provide a new proof for the representation of Cramér-von Mises statistics under (known) gamma and normal distributions. The new method uses orthogonal polynomials and provides an explicit form of the statistics from which the asymptotic distribution can be calculated. Copyright Springer-Verlag 2004

Keywords: Cramér-von Mises family; goodness of fit; normal distribution; gamma distribution; orthogonal polynomials (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:60:y:2004:i:3:p:211-221

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DOI: 10.1007/s001840300304

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