On a Problem of Estimation of Infinite-Dimensional Parameter
- Authors: Ershov V.A.1, Ibragimov I.A.2
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Affiliations:
- St.Petersburg State University
- St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University
- Issue: Vol 219, No 5 (2016)
- Pages: 731-742
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238664
- DOI: https://doi.org/10.1007/s10958-016-3142-1
- ID: 238664
Cite item
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