Real Analysis Exchange

Binomial Measures and their Approximations

Francesco Calabrò, Antonio Corbo Esposito, and Carmen Perugia

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Abstract

In this paper we consider the properties of a family of probability (continuous and singular) measures, which will be called Binomial measures because of their relationship with the binomial model in probability. These measures arise in many applications with different notations. Many properties in common with Lebesgue measure hold true for this family, sometimes unexpectedly.

Article information

Source
Real Anal. Exchange, Volume 37, Number 1 (2011), 61-82.

Dates
First available in Project Euclid: 30 April 2012

Permanent link to this document
https://projecteuclid.org/euclid.rae/1335806764

Mathematical Reviews number (MathSciNet)
MR3016852

Zentralblatt MATH identifier
1245.28001

Subjects
Primary: 28A25: Integration with respect to measures and other set functions 28A80: Fractals [See also 37Fxx]
Secondary: 65D32: Quadrature and cubature formulas

Keywords
self similar measures quadrature

Citation

Calabrò, Francesco; Corbo Esposito, Antonio; Perugia, Carmen. Binomial Measures and their Approximations. Real Anal. Exchange 37 (2011), no. 1, 61--82. https://projecteuclid.org/euclid.rae/1335806764


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