【摘 要】
：
In most of the realistic models in Physics one must take correlations into account; events,which are usually presented as independent,like in a binomial Ber
【机 构】
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UniversiteParisDiderotParis7,France
【出 处】
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The XXIX International Colloquium on Group-Theoretical Metho
论文部分内容阅读
In most of the realistic models in Physics one must take correlations into account; events,which are usually presented as independent,like in a binomial Bernoulli process,are actually submitted to correlative perturbations.These perturbations lead to deformations of the mathematical independent laws.In accordance with this statement,we present a generalization of the binomial distribution associated with a sequence of positive numbers.It involves asymmetric and symmetric expressions of probabilities for ("win-loss") sequences of trials.Our approach is based on generating functions and produces,in the symmetric case,polynomials of the binomial type.Poisson-like limits,Leibniz triangle rules and related entropy(ies) are considered.Our generalizations are illustrated by various analytical and numerical examples.
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