GENERALIZED PASCAL’S PYRAMIDS AND THEIR APPLICATIONS IN STOCHASTIC PROCESSES

O. V. Kuzmin · Advances and Applications in Statistics · 2024

This work studies combinatorial objects of pyramidal structure. It proposes fundamental relations for the elements of generalized Pascal’s triangle and generalized Pascal’s pyramid. Among the important special cases under consideration, there are generalized Stirling’s numbers and generalizations of trinomial coefficients and their applications while constructing discrete models of a number of stochastic processes.

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