TAUBERIAN PROPERTY IN SADDLEPOINT APPROXIMATIONS | Zendy

Hiroyuki Takeuchi | Zendy

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TAUBERIAN PROPERTY IN SADDLEPOINT APPROXIMATIONS

Author(s) -

Hiroyuki Takeuchi

Publication year - 2006

Publication title -

bulletin of informatics and cybernetics

Language(s) - English

Resource type - Journals

eISSN - 2435-743X

pISSN - 0286-522X

DOI - 10.5109/12602

Subject(s) - property (philosophy) , mathematics , mathematical economics , econometrics , statistics , calculus (dental) , philosophy , medicine , epistemology , dentistry

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 Lévy. The saddlepoint has no little amounts of information with respect to underlying distribution function.

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