# Conditional independence, conditional mixing and conditional association

@article{Rao2009ConditionalIC, title={Conditional independence, conditional mixing and conditional association}, author={B. L. S. Prakasa Rao}, journal={Annals of the Institute of Statistical Mathematics}, year={2009}, volume={61}, pages={441-460} }

Some properties of conditionally independent random variables are studied. Conditional versions of generalized Borel-Cantelli lemma, generalized Kolmogorov’s inequality and generalized Hajek-Renyi inequality are proved. As applications, a conditional version of the strong law of large numbers for conditionally independent random variables and a conditional version of the Kolmogorov’s strong law of large numbers for conditionally independent random variables with identical conditional…

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