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math.PR2024
On Exponential Convergence of Random Variables
Dawid Tarłowski
Given the discrete-time sequence of nonnegative random variables, general dependencies between the exponential convergence of the expectations, exponential convergence of the traje…
math.ST2024
Conditional uncorrelation equals independence
Dawid Tarłowski
We show that the stochastic independence of real-valued random variables is equivalent to the conditional uncorrelation, where the conditioning takes place over the Cartesian produ…