Weak runs in sequences of binary trials

In the present paper the metric of distance is adapted to a sequence of binary trials and the concept of r -weak runs is introduced and defined. The new structure gives rise to new families of binomial-type distributions, which are studied in the case of independent but not necessarily identically d...

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Veröffentlicht in:Metrika 2022-07, Vol.85 (5), p.573-603
Hauptverfasser: Dafnis, Spiros D., Makri, Frosso S.
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description In the present paper the metric of distance is adapted to a sequence of binary trials and the concept of r -weak runs is introduced and defined. The new structure gives rise to new families of binomial-type distributions, which are studied in the case of independent but not necessarily identically distributed binary trials. It is highlighted how the new theoretical results can be profitably applied to various fields, such as Agriculture, Finance and Reliability Engineering.
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subjects Agricultural engineering
Economic Theory/Quantitative Economics/Mathematical Methods
Mathematics and Statistics
Probability Theory and Stochastic Processes
Reliability engineering
Statistics
title Weak runs in sequences of binary trials
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