Ramdom variables related to distributions of sums modulo an integer.
Random mappings, forests, and subsets associated with Abel-Cayley-Hurwitz multinomial expansions.
Random noise and perturbation of copulas
For a random vector characterized by a copula we study its perturbation characterizing the random vector affected by a noise independent of both and . Several examples are added, including a new comprehensive parametric copula family .
Random Sum Representation Of The Noncentral Chi-Square Random Variable.
Random variables, joint distribution functions, and copulas
Rare events and conditional events on random strings.
Rekursionsformeln für die zentralen Momente der PÖLYA- und der Beta-Verteilung.
Remark on Polya's law
Remarks on the gamma and beta distributions.
Remarks on t-transformations of measures and convolutions
Remarks on Two Product-like Constructions for Copulas
We investigate two constructions that, starting with two bivariate copulas, give rise to a new bivariate and trivariate copula, respectively. In particular, these constructions are generalizations of the -product and the -product for copulas introduced by Darsow, Nguyen and Olsen in 1992. Some properties of these constructions are studied, especially their relationships with ordinal sums and shuffles of Min.
Remarque sur la factorisation de la distribution triangulaire
Remarques sur une formule de Paul Lévy
Remodified Bessel functions via coincidences and near coincidences.
Reproducibility in the One-Parameter Exponential Family.
Rozdělení a mnohorozměrná geometrie
V článku odvozujeme hustotu rozdělení s využitím -rozměrné geometrie. Oproti obvyklejším metodám k tomu nepotřebujeme předpoklad normality, postačující je nezávislost mnohorozměrného rozdělení na směru. Kromě základů diferenciálního počtu použijeme k odvození jen vzorec pro povrch -rozměrné koule. Tento přístup byl inspirován metodami R. A. Fishera.