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

100%

Yingst A.

Colloquium Mathematicum

2014

tom 135

nr 2

263-293

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.

Which Bernoulli measures are good measures?

51%

Akin E., Dougherty R., Mauldin R., Yingst A.

Colloquium Mathematicum

2008

tom 110

nr 2

243-291

For measures on a Cantor space, the demand that the measure be "good" is a useful homogeneity condition. We examine the question of when a Bernoulli measure on the sequence space for an alphabet of size n is good. Complete answers are given for the n = 2 cases and the rational cases. Partial results are obtained for the general cases.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Yingst A.

1 Akin E.

1 Dougherty R.

1 Mauldin R.

1 2014

1 2008

Wyniki wyszukiwania

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

Which Bernoulli measures are good measures?