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Bhattacharrya and Kshirsagar Lower Bounds for the Natural Exponential Family (NEF)

Author

Listed:
  • Nayeban Samira
  • Rezaei Roknabadi Abdol-Hamid
  • Mohtashami Borzadaran Gholam-Reza

    (Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, P. O. Box 91775-1159, Mashhad, Iran)

Abstract

The natural exponential families (NEF) play an important role in many fields of statistics. Two subclasses of NEF have interesting mathematical properties and have therefore been investigated by many researchers. These two subfamilies contain the distributions with quadratic variance function (NEF-QVF) and with cubic variance function (NEF-CVF), respectively.

Suggested Citation

  • Nayeban Samira & Rezaei Roknabadi Abdol-Hamid & Mohtashami Borzadaran Gholam-Reza, 2014. "Bhattacharrya and Kshirsagar Lower Bounds for the Natural Exponential Family (NEF)," Stochastics and Quality Control, De Gruyter, vol. 29(1), pages 1-13, June.
    • Handle: RePEc:bpj:ecqcon:v:29:y:2014:i:1:p:13:n:7
    DOI: 10.1515/eqc-2014-0007
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    References listed on IDEAS

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    1. D. Pommeret, 1996. "Orthogonal polynomials and natural exponential families," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 5(1), pages 77-111, June.
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