JOINT DISTRIBUTION OF SOME EVENTS IN THE BERNOULLI SCHEME WITH PARAMETERS (n, p )

An explicit form of the joint distribution of an arbitrary fixed pair of events belonging to the same finite family of events in the Bernoulli scheme with parameters (n, p ) is established. The connection of the parameter n with the maximum value of each of the obtained joint distributions under the condition p = 0.5 is indicated. Examples of the use of the established distributions for the analysis of the (0,1)-sequence are given. Keywords: joint distribution, Bernoulli scheme, 2-chain, digital steganography, econometrics.

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Publication Details

Journal
Kibernetyka ta Systemnyi Analiz
Published
2025-01-01
DOI
https://doi.org/10.34229/kca2522-9664.25.3.12
Primary Topic
Aerospace Engineering and Control Systems
Type
article
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article

JOINT DISTRIBUTION OF SOME EVENTS IN THE BERNOULLI SCHEME WITH PARAMETERS (n, p )

V. I. Masol, Stanislav Slobodian
Kibernetyka ta Systemnyi Analiz
Aerospace Engineering and Control Systems
article

JOINT DISTRIBUTION OF SOME EVENTS IN THE BERNOULLI SCHEME WITH PARAMETERS (n, p )

V. I. Masol, Stanislav Slobodian
article en

Abstract

An explicit form of the joint distribution of an arbitrary fixed pair of events belonging to the same finite family of events in the Bernoulli scheme with parameters (n, p ) is established. The connection of the parameter n with the maximum value of each of the obtained joint distributions under the condition p = 0.5 is indicated. Examples of the use of the established distributions for the analysis of the (0,1)-sequence are given. Keywords: joint distribution, Bernoulli scheme, 2-chain, digital steganography, econometrics.

Kibernetyka ta Systemnyi Analiz
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Aerospace Engineering and Control Systems
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JOINT DISTRIBUTION OF SOME EVENTS IN THE BERNOULLI SCHEME WITH PARAMETERS (n, p ) — V. I. Masol, Stanislav Slobodian · Kibernetyka ta Systemnyi Analiz (2025) | TGRS Research Map | TGRS