논문KCI 등재
On the asymptotic deficiency of some statistical estimators based on samples with random size
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In the paper we consider asymptotic deficiencies of some estimators constructed from samples with random sizes. The case of the Poisson distribution is investigated. Some examples are presented.
Abstract
In the paper we consider asymptotic deficiencies of some estimators constructed from samples with random sizes. The case of the Poisson distribution is investigated. Some examples are presented.
참고문헌 (7)
- Bening V. E., "On an application of the Student distribution in the theory of probability and mathematical statistics", Theory of Probability and Its Applications, 49(3), pp.377~391 (2005)[DOI]
- Bening V. E., "Generalized Poisson Models and their Applications in Insurance and Finance", pp.433~ (2012), W. de Gruyter
- Gnedenko B. V., "Random Summation. Limit Theorems and Applications", pp.267~ (1996), CRC Press
- Bening V. E., "Some statistical problems related to the Laplace distribution", Informatics and Its Applications, 2(2), pp.19~34 (2008)
- Hodges J. L., , Ann. Math. Statist, 41(5), pp.783~801 (1970)[DOI]
- Bening V. E., "Asymptotic Theory of Testing Statistical Hypotheses: Efficient Statistics, Optimality, Power Loss, and Deficiency", pp.277~ (2011), W. de Gruyter
- Cramer H, "Mathematical Methods of Statistics", pp.631~ (1946), Princeton University Press
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