Error Bounds for Trapezoid Type Quadrature Rules with Applications for the Mean and Variance

Pietro Cerone (p.cerone@latrobe.edu.au), Sever S. Dragomir (sever.dragomir@vu.edu.au) and Eder Kikianty (ekikianty@uj.ac.za)
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Pietro Cerone: La Trobe University
Sever S. Dragomir: Victoria University
Eder Kikianty: University of Johannesburg

A chapter in Applications of Mathematics and Informatics in Science and Engineering, 2014, pp 77-93 from Springer

Abstract: Abstract In this paper, we establish some inequalities of trapezoid type to give tight bounds for the expectation and variance of a probability density function. The approach is also demonstrated for higher order moments.

Keywords: Probability Density Function; Error Bound; Bounded Variation; Type Inequality; Gaussian Random Variable (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-04720-1_5

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DOI: 10.1007/978-3-319-04720-1_5

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