This method calculates probability distribution of discrete random variables using a d-ary tree, highlighting efficiency in recalculating shifted distributions.
A method was proposed for calculating the probability distribution of a discrete random variable (DRV) using a d-ary tree. The tree has n leaves, which is equivalent to the number of elements in the DRV probability distribution, and the remaining vertices represent the DRV generators with the probability distribution including d elements (d-DRV). Variation in the DRV probability distribution by zeroing one of its elements reduces to the recalculation of the d-DRV probability distributions, the number of which increases logarithmically with respect to the value of n .
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Захаров et al. (2025) studied this question.
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