02182778

j

02182778 Abusev, R.A. Some statistical problems of the group classification of gamma families. J. Math. Sci., New York 119, No. 3, 293-302 (2004); translation from Stat. Metody Otsen. Proverki Gipotez 2000, 4-15 (2000). 2000 Springer, New York EN

doi:10.1023/B:JOTH.0000009358.71064.3d

From the paper: In this work, quadratic errors of certain estimators are found for the first time, statistical decision rules for the group classification are developed, and their asymptotic properties are analyzed. The connection between the problem of pointwise classification and the problem of calculation of the probabilities of linear stochastic inequalities is studied. Unbiased and Bayes estimators for the probabilities of linear inequalities in the case of gamma-distributions are obtained.