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A NOTE ON ASYMPTOTIC EXPANSIONS FOR SUMS OVER A WEAKLY DEPENDENT RANDOM-FIELD WITH APPLICATION TO THE POISSON AND STRAUSS PROCESSES
被引：9
|作者：
JENSEN, JL
机构：
[1] Department of Theoretical Statistics, Institute of Mathematics, University of Aarhus, Ny Munkegade, Aarhus C
关键词：
CONDITIONAL CRAMER CONDITION;
LOCAL LIMIT THEOREM;
POISSON PROCESS;
STRAUSS PROCESS;
D O I：
10.1007/BF00775820
中图分类号：
O21 [概率论与数理统计];
C8 [统计学];
学科分类号：
020208 ;
070103 ;
0714 ;
摘要：
Previous results on Edgeworth expansions for sums over a random field are extended to the case where the strong mixing coefficient depends not only on the distance between two sets of random variables, but also on the size of the two sets. The results are applied to the Poisson and the Strauss point processes, giving rise also to local limit results.
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页码：353 / 360
页数：8
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