An analogue for Marcinkiewicz-Zygmund strong law of negatively associated random variables

DOI10.1007/s13398-016-0320-4zbMath1386.60109OpenAlexW2514132860MaRDI QIDQ2412812

Jianyong Mu, Jie Xu, Yu Miao

Publication date: 27 October 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0320-4

zbMATH Keywords

almost sure convergencenegatively associated sequenceMarcinkiewicz-Zygmund strong law of large numbers

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (8)

Some extensions of the classical law of large numbers ⋮ Unnamed Item ⋮ Sharp sufficient conditions for mean convergence of the maximal partial sums of dependent random variables with general norming sequences ⋮ A Rosenthal-type inequality for some classes of dependent random variables and its applications ⋮ The Marcinkiewicz-Zygmund-type strong law of large numbers with general normalizing sequences ⋮ 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 ⋮ Strong laws of large numbers for positively 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
• The Hájek-Rényi inequality for the NA random variables and its application
• 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
• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
• Some limit theorems for negatively associated random variables

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