On a Problem of Estimation of Infinite-Dimensional Parameter

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 X 1 ,X 2 , . . . , X n , where the observations X j are independent copies of X. Bibliography: 5 titles.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-12, Vol.219 (5), p.731-742
Main Authors: Ershov, V. A., Ibragimov, I. A.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Random variables
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Summary: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 X 1 ,X 2 , . . . , X n , where the observations X j are independent copies of X. Bibliography: 5 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-3142-1