TAUBERIAN PROPERTY IN SADDLEPOINT APPROXIMATIONS
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概要
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A Tauberian theorem which is related to the saddlepoint in the saddlepoint approximations of $ M $-estimates is investigated. It is shown that the asymptotic behavior of the saddlepoint at infinity plays a substantial role in this context. We also show a pointwise convergence of a sequence of the saddlepoints which may be taken as a version of the continuity theorem by Levy. The saddlepoint has no little amounts of information with respect to underlying distribution function.
- Research Association of Statistical Sciencesの論文
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