Abstract
Unbiased estimators are constructed for density and linear functionals of the above-cited distributions.
Similar content being viewed by others
Literature cited
Yu. V. Prokhorov and Yu. A. Rozanov, Probability Theory [in Russian], Nauka, Moscow (1973).
J. L. Folks and R. S. Chhikara, “The Gaussian distribution and its statistical application,” J. R. Statist. Soc,40, No. 3, 263–289 (1978).
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).
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).
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).
Ya. P. Lumel'skii, Statistical Estimates of Results of Quality Control [in Russian], Standartov, Moscow (1979).
Ya. P. Lumel'skii, “Statistical methods of control (subsequent estimates),” in: Statistical Methods in Problems of Testing and Control [in Russian], Znanie, Moscow (1979), pp. 46–71.
Ya. P. Lumel'skii and M. Ya. Penskaya, “Unbiased estimation of characteristics of random variables,” in: Mathematical Statistics and Its Application [in Russian], Tomskii Univ., Tomsk (1982), pp. 114–122.
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals of Sums, Series, and Products [in Russian], GIFML, Moscow (1962).
Author information
Authors and Affiliations
Additional information
Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, pp. 11–15, 1988.
Rights and permissions
About this article
Cite this article
Vedernikova, A.P., Lumel'skii, Y.P. Unbiased estimation of linear functionals in the case of inverse normal distribution. J Math Sci 56, 2407–2409 (1991). https://doi.org/10.1007/BF01096101
Issue Date:
DOI: https://doi.org/10.1007/BF01096101