Some limit theorems for negatively associated random variables

DOI10.1007/S12044-014-0185-4zbMath1308.60032OpenAlexW1974573838MaRDI QIDQ2253702

Yanyan Li

Publication date: 12 February 2015

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-014-0185-4

zbMATH Keywords

order statistics\(L^p\)-convergencenegatively associated random variablesMarcinkiewicz-Zygmund strong law of large numbers

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (5)

Some extensions of the classical law of large numbers ⋮ An analogue for Marcinkiewicz-Zygmund strong law of negatively associated random variables ⋮ On a Spitzer-type law of large numbers for partial sums of m-negatively associated random variables ⋮ A note on the weak law of large numbers of Kolmogorov and Feller ⋮ The Marcinkiewics-Zygmund strong law of large numbers for dependent random variables

Cites Work

• Unnamed Item
• Strong limit theorems for weighted sums of negatively associated random variables
• Some concepts of negative dependence
• A note on the almost sure convergence of sums of negatively dependent random variables
• Moment inequalities and weak convergence for negatively associated sequences
• A comparison theorem on moment inequalities between negatively associated and independent random variables
• The law of iterated logarithm for negatively associated random variables
• Negative association of random variables, with applications
• A strong law of large numbers for arrays of rowwise negatively dependent random variables

This page was built for publication: Some limit theorems for negatively associated random variables