# A characterization of partition polynomials and good Bernoulli trial measures in many symbols

Colloquium Mathematicae (2014)

- Volume: 135, Issue: 2, page 263-293
- ISSN: 0010-1354

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topAndrew Yingst. "A characterization of partition polynomials and good Bernoulli trial measures in many symbols." Colloquium Mathematicae 135.2 (2014): 263-293. <http://eudml.org/doc/284309>.

@article{AndrewYingst2014,

abstract = {Consider an experiment with d+1 possible outcomes, d of which occur with probabilities $x₁,..., x_\{d\}$. 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 $x₁,..., x_\{d\}$. We characterize those polynomials which arise as the probability of such an event. We use this to characterize those x⃗ for which the measure resulting from an infinite sequence of such trials is good in the sense of Akin.},

author = {Andrew Yingst},

journal = {Colloquium Mathematicae},

keywords = {good measures in the sense of Akin; Cantor space; partition polynomials; Bernoulli trial measures},

language = {eng},

number = {2},

pages = {263-293},

title = {A characterization of partition polynomials and good Bernoulli trial measures in many symbols},

url = {http://eudml.org/doc/284309},

volume = {135},

year = {2014},

}

TY - JOUR

AU - Andrew Yingst

TI - A characterization of partition polynomials and good Bernoulli trial measures in many symbols

JO - Colloquium Mathematicae

PY - 2014

VL - 135

IS - 2

SP - 263

EP - 293

AB - Consider an experiment with d+1 possible outcomes, d of which occur with probabilities $x₁,..., x_{d}$. 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 $x₁,..., x_{d}$. We characterize those polynomials which arise as the probability of such an event. We use this to characterize those x⃗ for which the measure resulting from an infinite sequence of such trials is good in the sense of Akin.

LA - eng

KW - good measures in the sense of Akin; Cantor space; partition polynomials; Bernoulli trial measures

UR - http://eudml.org/doc/284309

ER -

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