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On a Problem of Estimation of Infinite-Dimensional Parameter


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Abstract

Let X be a random variable taking positive integer values and let P{X = k} = θ(k). We consider the problem of estimation of the parameter θ = (θ(1), θ(2), . . . ) on the base of a sample X1,X2, . . . , Xn, where the observations Xj are independent copies of X. Bibliography: 5 titles.

About the authors

V. A. Ershov

St.Petersburg State University

Email: ibr32@pdmi.ras.ru
Russian Federation, St.Petersburg

I. A. Ibragimov

St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University

Author for correspondence.
Email: ibr32@pdmi.ras.ru
Russian Federation, St.Petersburg

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