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A new look at the relationship between Edgeworth expansion and saddlepoint approximation

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  • Monti, Anna Clara

Abstract

The Edgeworth expansion of the density of the sample mean is obtained, up to the second order, by expanding the saddlepoint approximation. This is achieved through an expansion of the saddlepoint which gives an explicit formula to the latter approximation.

Suggested Citation

  • Monti, Anna Clara, 1993. "A new look at the relationship between Edgeworth expansion and saddlepoint approximation," Statistics & Probability Letters, Elsevier, vol. 17(1), pages 49-52, May.
    • Handle: RePEc:eee:stapro:v:17:y:1993:i:1:p:49-52
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    Cited by:

    1. Jorge Arevalillo, 2012. "Exploring the relation between the r* approximation and the Edgeworth expansion," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(8), pages 1009-1024, November.
    2. Christopher Withers & Saralees Nadarajah, 2010. "Tilted Edgeworth expansions for asymptotically normal vectors," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 62(6), pages 1113-1142, December.
    3. Jorge Arevalillo, 2014. "Higher-order approximations to the quantile of the distribution for a class of statistics in the first-order autoregression," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 291-310, June.

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