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Status已发表Published
TitleA characterization of multivariate l1-norm symmetric distributions
Creator
Date Issued1989
Source PublicationStatistics and Probability Letters
ISSN0167-7152
Volume7Issue:4Pages:297-299
Abstract

Let z be an n × 1 interchangeable random vector and z(1) ≤ ... ≤ z(n) be its order statistics. Let ui = (n - i + 1) × (z(i) - z(i - 1))i = 1, ... n, with z(0) = 0 and u = (u1,...,Un)′. The main result is that z = u iff z is a multivariate l1-norm symmetric distribution. © 1989.

Keywordmultivariate l1-norm symmetric distribution normalized spacing order statistics survival function
DOI10.1016/0167-7152(89)90109-0
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:A1989T002300007
Scopus ID2-s2.0-38249026021
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/2539
CollectionResearch outside affiliated institution
Affiliation
Institute of Applied Mathematics, Academia Sinica, 2734 Beijing, P.O. Box, China
Recommended Citation
GB/T 7714
Fang, Biqi,Fang, Kaitai. A characterization of multivariate l1-norm symmetric distributions[J]. Statistics and Probability Letters, 1989, 7(4): 297-299.
APA Fang, Biqi, & Fang, Kaitai. (1989). A characterization of multivariate l1-norm symmetric distributions. Statistics and Probability Letters, 7(4), 297-299.
MLA Fang, Biqi,et al."A characterization of multivariate l1-norm symmetric distributions". Statistics and Probability Letters 7.4(1989): 297-299.
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