V.I. Glebov1, S.Ya. Krivolapov2

1,2 Financial University under the Government of the Russian Federation (Moscow, Russia)

1 vbiglebov@fa.ru, 2 skrivolapov@fa.ru

A generalization of the geometric distribution law is considered – the distribution law of a random variable equal to the step number in the sequence of tests according to the Bernoulli scheme, at which a series of k consecutive "successes" (k = 2, 3, …) falls for the first time. Expressions for the main probabilistic characteristics of a random variable are obtained.

Glebov V.I, Krivolapov S.Ya. Geometric distribution of the k-th order. Information-measuring and Control Systems. 2023. V. 21. № 6. P. 29−37. DOI: https://doi.org/10.18127/j20700814-202306-04 (in Russian)

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