490201-HS2024-0-Asymptotic and Large Deviations Methods





Root number 490201
Semester HS2024
Type of course Lecture
Allocation to subject Statistics
Type of exam Oral exam
Title Asymptotic and Large Deviations Methods
Description The lecture presents fundamental results concerning asymptotic expansions and large deviations including the Edgeworth and tilted Edgeworth expansions for the mean, the Lemma of Watson Lemma, the saddlepoint expansion of integrals, the Cramer, the Gaertner-Ellis and the Sanov theorems, Pade and other approximations. Applications to distributions of M-estimators and of estimators of autoregressive time series, to a posteriori expectations and to distributions of first passage times of stochastic processes are presented.
ILIAS-Link (Learning resource for course) Registrations are transmitted from CTS to ILIAS (no admission in ILIAS possible). ILIAS
Link to another web site
Lecturers Prof. Dr. Riccardo GattoInstitute of Mathematical Statistics and Actuarial Science 
ECTS 3
Recognition as optional course possible Yes
Grading 1 to 6
 
Dates Friday 13:15-15:00 Weekly
 
Rooms Hörraum B078, Exakte Wissenschaften, ExWi
 
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