Open Access
May 2013 On a saddlepoint approximation to the Markov binomial distribution
Jens Ledet Jensen
Braz. J. Probab. Stat. 27(2): 150-161 (May 2013). DOI: 10.1214/11-BJPS162

Abstract

A nonstandard saddlepoint approximation to the distribution of a sum of Markov dependent trials is introduced. The relative error of the approximation is studied, not only for the number of summands tending to infinity, but also for the parameter approaching the boundary of its definition range. A comparison is made with another recent study of Markov dependent trials.

Citation

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Jens Ledet Jensen. "On a saddlepoint approximation to the Markov binomial distribution." Braz. J. Probab. Stat. 27 (2) 150 - 161, May 2013. https://doi.org/10.1214/11-BJPS162

Information

Published: May 2013
First available in Project Euclid: 21 February 2013

zbMATH: 06365956
MathSciNet: MR3028801
Digital Object Identifier: 10.1214/11-BJPS162

Keywords: Markov dependent trials , relative error , saddlepoint approximation

Rights: Copyright © 2013 Brazilian Statistical Association

Vol.27 • No. 2 • May 2013
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