Real Analysis Exchange

Binomial Measures and their Approximations

Francesco Calabrò, Antonio Corbo Esposito, and Carmen Perugia

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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

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

First available in Project Euclid: 30 April 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

self similar measures quadrature


Calabrò, Francesco; Corbo Esposito, Antonio; Perugia, Carmen. Binomial Measures and their Approximations. Real Anal. Exchange 37 (2011), no. 1, 61--82.

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