Exact statistical distributions

Geometric measure representations

Gaussian and spherical distributions

Exponential and simplicial distributions

Representation formulas for statistical distributions

Generalized and modified central and noncentral chisquare-, t- and F-distributions

Selection and Classification

Nonlinear regression

Empirical correlation coefficient

References:

(1985). Laplace-Gauß integrals, Gaussian measure asymptotic behaviour and probabilities of moderate deviations. Z. Anal. Anw. 4, 3, 257-267.
with J. Davids (1991). Exakter Test für erwartete Lebensdauer bei unbekannter Mindestlebensdauer. Z. Klin. Med. 46, 783-785.
with D. Krause (1994). Geometric approach to evaluating probabilities of correct classification into two Gaussian or spherical categories. In: Bock, Lenski and Richter (eds.): Information Systems and Data Analysis, Springer Verlag, Berlin, 224-252.
(1994). Geometric approach to evaluating probabilities of correct selection for spherically distributed samples. In: Proceedings of the 3^rd Schwerin Conference on Mathematical Statistics. Selection procedure II. FBN Schriftreihe, 42-51.
with D. Krause (1994). Probabilities correct classification. In: Proceedings of the 3^rd Schwerin Conference on Mathematical Statistics. Selection procedure II. FBN Schriftreihe, 26-31.
(1995). A geometric approach to the Gaussian law. In: Symposia Gaussiana, Conf. B, Eds.: Mammitzsch /Schneeweiß. Walter de Gruyter & Co., Bln., 25-45.
(1995). Eine geometrische und eine asymptotische Methode in der Statistik. Universität Bremen, Mathematik- Arbeitspapiere Nr. 44, 2-10.
with C. Ittrich and D. Krause (submitted). Probabilities and large quantiles of noncentral generalized chi-square distributions.

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