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Approximate Computation of Expectations: the Canonical Stein Operator

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  • Christophe Ley
  • Gesine Reinert
  • Yvik Swan

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  • Christophe Ley & Gesine Reinert & Yvik Swan, 2014. "Approximate Computation of Expectations: the Canonical Stein Operator," Working Papers ECARES ECARES 2014-36, ULB -- Universite Libre de Bruxelles.
    • Handle: RePEc:eca:wpaper:2013/174858
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    References listed on IDEAS

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    1. W. J. Hall & Jon A. Wellner, 1979. "The rate of convergence in law of the maximum of an exponential sample," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 33(3), pages 151-154, September.
    2. V. Papathanasiou, 1995. "A characterization of the Pearson system of distributions and the associated orthogonal polynomials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(1), pages 171-176, January.
    3. Kusuoka, Seiichiro & Tudor, Ciprian A., 2012. "Stein’s method for invariant measures of diffusions via Malliavin calculus," Stochastic Processes and their Applications, Elsevier, vol. 122(4), pages 1627-1651.
    4. Cacoullos, T. & Papathanasiou, V., 1989. "Characterizations of distributions by variance bounds," Statistics & Probability Letters, Elsevier, vol. 7(5), pages 351-356, April.
    5. R. Korwar, 1991. "On characterizations of distributions by mean absolute deviation and variance bounds," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 43(2), pages 287-295, June.
    6. Christophe Ley & Yvik Swan, 2013. "Parametric Stein Operators and Variance Bounds," Working Papers ECARES ECARES 2013-28, ULB -- Universite Libre de Bruxelles.
    7. Alison L. Gibbs & Francis Edward Su, 2002. "On Choosing and Bounding Probability Metrics," International Statistical Review, International Statistical Institute, vol. 70(3), pages 419-435, December.
    8. Ehm, Werner, 1991. "Binomial approximation to the Poisson binomial distribution," Statistics & Probability Letters, Elsevier, vol. 11(1), pages 7-16, January.
    9. Yosef Rinott & Vladimir Rotar, 2000. "Normal approximations by Stein's method," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 23(1), pages 15-29.
    10. Claude Lefèvre & Vasilis Papathanasiou & Sergey Utev, 2002. "Generalized Pearson Distributions and Related Characterization Problems," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(4), pages 731-742, December.
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    Cited by:

    1. Badescu, Alexandru & Cui, Zhenyu & Ortega, Juan-Pablo, 2016. "A note on the Wang transform for stochastic volatility pricing models," Finance Research Letters, Elsevier, vol. 19(C), pages 189-196.
    2. Ley, Christophe & Swan, Yvik, 2016. "A general parametric Stein characterization," Statistics & Probability Letters, Elsevier, vol. 111(C), pages 67-71.

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