Journal of applied mathematics & informatics
- Volume 3 Issue 1
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- Pages.89-100
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- 1996
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
LIMIT THEOREM FOR ASSOCIATED RANDOM MEASURES
Abstract
In this paper we investigate a limit theorem for a non-statioary d-parameter array of associated random variables applying the criterion of the tightness condition in Donsker, M[1951]. Our re-sults imply an extension to the nonstatioary case of Convergence of Probability Measure of billingsley. P[1986]. and analogous results for the d-dimensional associated random measure. These results are also applied to show a new limit theorem for Poisson cluster random mea-sures.
Keywords