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Unbiased estimators and classification problems for multivariate normal populations
Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 2, pp. 381-389 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain the unbiased estimates of multivariate normal probability density and the unbiased estimates of probability density of the sample mean and the sample covariance matrix when independent observations have a normal distribution with unknown mean and variance. This unbiased estimators are used for the construction of the point and group classification rules. It is shown that the error of group classification tends to zero when all sample sizes tend to infinity. 
@article{TVP_1980_25_2_a15,
     author = {R. A. Abusev and Ya. P. Lumel'skiǐ},
     title = {Unbiased estimators and classification problems for multivariate normal populations},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {381--389},
     year = {1980},
     volume = {25},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a15/}
}
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R. A. Abusev; Ya. P. Lumel'skiǐ. Unbiased estimators and classification problems for multivariate normal populations. Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 2, pp. 381-389. http://geodesic.mathdoc.fr/item/TVP_1980_25_2_a15/