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A characterization of the Pearson system of distributions and the associated orthogonal polynomials

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  • V. Papathanasiou

Abstract

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Suggested Citation

  • 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.
  • Handle: RePEc:spr:aistmt:v:47:y:1995:i:1:p:171-176
    DOI: 10.1007/BF00773421
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    References listed on IDEAS

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    1. Cacoullos, T. & Papathanasiou, V., 1985. "On upper bounds for the variance of functions of random variables," Statistics & Probability Letters, Elsevier, vol. 3(4), pages 175-184, July.
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    Cited by:

    1. 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.
    2. Giorgos Afendras, 2013. "Unified extension of variance bounds for integrated Pearson family," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(4), pages 687-702, August.
    3. Nitis Mukhopadhyay, 2021. "On Rereading Stein’s Lemma: Its Intrinsic Connection with Cramér-Rao Identity and Some New Identities," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 355-367, March.

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