Limit theorems for symmetric statistics of exchangeable random variables

The paper gives a central limit theorem for symmetric statistics of exchangeable random variables using the methods in Dykin and Mandelbaum ( Ann. Statist. 11, 1983) and Mandrekar and Rao ( Probab. Math. Statist. 10, 1989).

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Bibliographic Details
Published inStatistics & probability letters Vol. 17; no. 2; pp. 157 - 161
Main Authors Mandrekar, V., Patterson, R.F.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 26.05.1993
Elsevier
SeriesStatistics & Probability Letters
Subjects
Exact sciences and technology
Limit theorems
Mathematics
Multiple Wiener-Ito integral U-statistics
Multiple Wiener-Itô integral
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
U-statistics
Multiple Wiener-Itô integral
U-statistics
Exchangeable variable
Multiple integral
U statistic
Central limit theorem
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Summary:The paper gives a central limit theorem for symmetric statistics of exchangeable random variables using the methods in Dykin and Mandelbaum ( Ann. Statist. 11, 1983) and Mandrekar and Rao ( Probab. Math. Statist. 10, 1989).
ISSN:0167-7152
1879-2103
DOI:10.1016/0167-7152(93)90010-G