Convergence Theorems for  m -Coordinatewise Negatively Associated Random Vectors in Hilbert Spaces | Zendy

Lyurong Shi | Zendy

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Convergence Theorems for

m

-Coordinatewise Negatively Associated Random Vectors in Hilbert Spaces

Author(s) -

Lyurong Shi

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/3462317

Subject(s) - convergence (economics) , hilbert space , mathematics , weak convergence , law of large numbers , discrete mathematics , combinatorics , random variable , pure mathematics , statistics , computer science , computer security , economics , asset (computer security) , economic growth

In this study, some new results on convergence properties for m -coordinatewise negatively associated random vectors in Hilbert space are investigated. The weak law of large numbers, strong law of large numbers, complete convergence, and complete moment convergence for linear process of H-valued m -coordinatewise negatively associated random vectors with random coefficients are established. These results improve and generalise some corresponding ones in the literature.

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