Geodesic
A characterization of partition polynomials and good Bernoulli trial measures in many symbols
Andrew Yingst1
1 University of South Carolina Lancaster PO Box 889 Lancaster, SC 29721, U.S.A.
Colloquium Mathematicum, Tome 135 (2014) no. 2, pp. 263-293.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Consider an experiment with $d+1$ possible outcomes, $d$ of which occur with probabilities $x_1,\ldots ,x_d$. If we consider a large number of independent occurrences of this experiment, the probability of any event in the resulting space is a polynomial in $x_1,\ldots ,x_d$. We characterize those polynomials which arise as the probability of such an event. We use this to characterize those $\vec{x}$ for which the measure resulting from an infinite sequence of such trials is good in the sense of Akin.
DOI : 10.4064/cm135-2-7
Keywords: consider experiment possible outcomes which occur probabilities ldots consider large number independent occurrences experiment probability event resulting space polynomial ldots characterize those polynomials which arise probability event characterize those vec which measure resulting infinite sequence trials sense akin

Andrew Yingst 1

1 University of South Carolina Lancaster PO Box 889 Lancaster, SC 29721, U.S.A. 
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Andrew Yingst. A characterization of partition polynomials
 and good Bernoulli trial measures in many symbols. Colloquium Mathematicum, Tome 135 (2014) no. 2, pp. 263-293. doi : 10.4064/cm135-2-7. http://geodesic.mathdoc.fr/articles/10.4064/cm135-2-7/

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