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Double Saddlepoint Approximation: Properties and Applications

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Abstract

In this study paper, saddlepoint approximation is considered one of the very accurate methods to derive the exact PMF/PDF and CDF for some complicated distributions. Double saddlepoint approximations provide a quick and accurate approximation to exact conditional tail probability in a variety of situations. However, in this study paper, the conditional saddlepoint approximation has been discussed for some distribution as Poisson and hypergeometric distribution.

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ACKNOWLEDGMENTS

This research was supported financially by Taibah University, Medina, Saudi Arabia. The author thanks the referee for constructive comments.

Funding

This work was supported by Taibah University, Medina, Saudi Arabia.

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Correspondence to Alya Al Mutairi.

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(Submitted by A. I. Volodin)

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Al Mutairi, A. Double Saddlepoint Approximation: Properties and Applications. Lobachevskii J Math 43, 3384–3389 (2022). https://doi.org/10.1134/S199508022214027X

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  • DOI: https://doi.org/10.1134/S199508022214027X

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