Strong law of large numbers for pair-wise extended lower/upper negatively dependent random variables

DOI10.1007/S11464-014-0376-4zbMath1309.60025OpenAlexW2129533883MaRDI QIDQ2258086

Fengyang Cheng

Publication date: 2 March 2015

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-014-0376-4

zbMATH Keywords

strong law of large numbersweighted sumsextended negatively dependent random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Cites Work

• Precise large deviations of random sums in presence of negative dependence and consistent variation
• Basic renewal theorems for random walks with widely dependent increments
• Stability of sums of weighted nonnegative random variables
• Precise large deviations for dependent random variables with heavy tails
• Some concepts of negative dependence
• Uniform asymptotics for the finite-time ruin probability of a dependent risk model with a constant interest rate
• Asymptotics for the tail probability of random sums with a heavy-tailed random number and extended negatively dependent summands
• The Strong Law of Large Numbers for Extended Negatively Dependent Random Variables
• An elementary proof of the strong law of large numbers
• Some Concepts of Dependence

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