Error bounds for trapezoid type quadrature rules with applications for the mean and variance

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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.

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Cerone, P., Dragomir, S. S., & Kikianty, E. (2014). Error bounds for trapezoid type quadrature rules with applications for the mean and variance. In Springer Optimization and Its Applications (Vol. 91, pp. 77–93). Springer International Publishing. https://doi.org/10.1007/978-3-319-04720-1_5

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