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math.PR2022★ 1 cited
Stationary, Markov, stochastic processes with polynomial conditional moments and continuous paths
Paweł J. Szabłowski
We are studying stationary random processes with conditional polynomial moments that allow a continuous path modification. Processes with continuous path modification, are importan…
math.PR2022★ 2 cited
Polynomial identities that involve binomial coefficients, double and rising factorials and their probabilistic interpretations and proofs
Paweł J. Szabłowski
We formulate several polynomial identities. One side of these identities has a nice simple form. Whereas the other has a form of a polynomial whose coefficients contain binomial co…