Products of random variables and the first digit phenomenon
classification
🧮 math.PR
keywords
benfordproductsrandomvariablesalmostconditionsconvergesdependent
read the original abstract
We provide conditions on dependent and on non-stationary random variables $X_n$ ensuring that the mantissa of the sequence of products $\left(\prod_{1}^{n}X_k\right)$ is almost surely distributed following the Benford's law or converges in distribution to the Benford's law.
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