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A note on the stochastic domination condition and uniform integrability with applications to the strong law of large numbers
Authors: Andrew Rosalsky, Lê Văn Thành
496    1
Statistics and Probability Letters
: 178/no.11     :
: https://www.sciencedirect.com/science/article/abs/pii/S0167715221001437?via%3Dihub
: 1523_A note on the stochastic domination condition and uniform.pdf
Publishing year: 11/2021
In this correspondence, we present new results concerning the concept of stochastic domination and apply them to obtain new results on uniform integrability and on the strong law of large numbers for sequences of pairwise independent random variables. Our result on the strong law of large numbers extends a result of Chen, Bai, and Sung (2014). The sharpness of the results is illustrated by three examples.
Stochastic dominationUniform integrabilityDe la Vallée Poussin criterionSequence of pairwise independent random variablesStrong law of large numbers
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