Best constants in Chebyshev inequalities with various applications

@article{Dasgupta2000BestCI,
  title={Best constants in Chebyshev inequalities with various applications},
  author={A. Dasgupta},
  journal={Metrika},
  year={2000},
  volume={51},
  pages={185-200}
}
Abstract. In this article we describe some ways to significantly improve the Markov-Gauss-Camp-Meidell inequalities and provide specific applications. We also describe how the improved bounds are extendable to the multivariate case. Applications include explicit finite sample construction of confidence intervals for a population mean, upper bounds on a tail probability P(X>k) by using the density at k, approximation of P-values, simple bounds on the Riemann Zeta function, on the series… Expand
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