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Exact laws of large numbers for k-th order statistics from the asymmetrical Cauchy distribution.
- Source :
-
Communications in Statistics: Theory & Methods . 2024, Vol. 53 Issue 8, p2757-2770. 14p. - Publication Year :
- 2024
-
Abstract
- The laws of large numbers are studied from the arrays of asymmetrical Cauchy random variables. Some exact laws of large numbers are obtained for the k-th order statistics, including a weak law and a strong law. It turns out that the weak law cannot extend to a strong law. Our results extend some existing works for independent and dependent cases. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LAW of large numbers
*RANDOM variables
*ORDER statistics
Subjects
Details
- Language :
- English
- ISSN :
- 03610926
- Volume :
- 53
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Theory & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 175723111
- Full Text :
- https://doi.org/10.1080/03610926.2022.2148474