Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables | Zendy

Aiting Shen | Zendy; Ranchao Wu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables

Author(s) -

Aiting Shen,

Ranchao Wu

Publication year - 2013

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2013/235012

Subject(s) - independent and identically distributed random variables , mathematics , random variable , law of large numbers , convergence of random variables , variables , sum of normally distributed random variables , type (biology) , convergence (economics) , combinatorics , statistics , ecology , economics , biology , economic growth

The strong law of large numbers for sequences of asymptotically almost negatively associated (AANA, in short) random variables is obtained, which generalizes and improves the corresponding one of Bai and Cheng (2000) for independent and identically distributed random variables to the case of AANA random variables. In addition, the Feller-type weak law of large number for sequences of AANA random variables is obtained, which generalizes the corresponding one of Feller (1946) for independent and identically distributed random variables. © 2013 Aiting Shen and Ranchao Wu.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research