Unbiased estimation of linear functionals in the case of inverse normal distribution

Author:

Vedernikova A. P.,Lumel'skii Ya. P.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability,Applied Mathematics,General Mathematics,Statistics and Probability

Reference9 articles.

1. Yu. V. Prokhorov and Yu. A. Rozanov, Probability Theory [in Russian], Nauka, Moscow (1973).

2. J. L. Folks and R. S. Chhikara, ?The Gaussian distribution and its statistical application,? J. R. Statist. Soc,40, No. 3, 263?289 (1978).

3. M. M. Larin, ?Unbiased estimators of variance and some other characteristics of the inverse normal distribution,? Izv. Akad. Nauk SSSR, Tekhn. Kibern., No. 6, 134?137 (1982).

4. Kosei Iwase and Noriaki Seto, ?Uniformly minimum variance unbiased estimation for the inverse Gaussian distribution,? J. Am. Statist. Assoc,78, No. 383, 660?663 (1983).

5. Kosei Iwase and Noriaki Seto, ?UMVU estimators of the mode and limits of an interval for the inverse Gaussian distribution,? Common. Statist.: Theor. Meth.,14, No. 5, 1151?1161 (1985).

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