Saddlepoint approximation in exponential models with boundary points

7Citations
Citations of this article
7Readers
Mendeley users who have this article in their library.

Abstract

A saddlepoint approximation is developed for the likelihood ratio test statistic in non-regular exponential models. For the one-parameter case, it is proved that the saddlepoint correction has a relative error of order O(n-1), assuming that the canonical statistic has four finite moments. The results are applied in reliability theory and survival analysis, testing for exponentiality. Note that we are using the saddlepoint method for statistics without moment generating function. © 2006 ISI/BS.

Cite

CITATION STYLE

APA

del Castillo, J., & López-Ratera, A. (2006). Saddlepoint approximation in exponential models with boundary points. Bernoulli, 12(3), 491–500. https://doi.org/10.3150/bj/1151525132

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free