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Convergence in Mean for Double Arrays of M-Pairwise Negatively Dependent Random Variables.
- Source :
-
Bulletin of the Malaysian Mathematical Sciences Society . Jul2022, Vol. 45 Issue 4, p1507-1520. 14p. - Publication Year :
- 2022
-
Abstract
- This paper proves a theorem on convergence in mean of order p for double arrays of M-pairwise negatively dependent random variables, where 1 ≤ p < 2 . The main result extends some results in Thành (Int J Math Math Sci 27(8):1317–1320, 2005) and Hong and Hwang (Int J Math Math Sci 22(1):171–177, 1999). The proof is based on the von Bahr–Esseen inequality for M-pairwise negatively dependent random variables. The sharpness of the result is illustrated by two examples. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DEPENDENT variables
*RANDOM variables
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 01266705
- Volume :
- 45
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Malaysian Mathematical Sciences Society
- Publication Type :
- Academic Journal
- Accession number :
- 157304992
- Full Text :
- https://doi.org/10.1007/s40840-022-01274-4