منابع مشابه
AN LP-LQ-VERSION OF MORGAN’S THEOREM FOR THE GENERALIZED BESSEL TRANSFORM
n this article, we prove An Lp-Lq-version of Morgan’s theorem for the generalized Bessel transform.
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The replacement theorem for classical and normal modal logics is a fundamental tool. It says that if A and B have been proved equivalent, occurrences of A in a formula may be replaced with occurrences of B to produce a formula equivalent to the original one. This theorem does not hold for LP, Logic of Proofs. A replacement for replacement is not simple to formulate. In this note I have provided...
متن کاملAn Lp-view of the Bahadur-Kiefer Theorem
Let αn and βn be respectively the uniform empirical and quantile processes, and define Rn = αn + βn, which usually is referred to as the Bahadur–Kiefer process. The well-known Bahadur–Kiefer theorem confirms the following remarkable equivalence: ‖Rn‖/ √ ‖αn‖ ∼ n−1/4(log n) almost surely, as n goes to infinity, where ‖f‖ = sup0≤t≤1 |f(t)| is the L∞-norm. We prove that ‖Rn‖2/ √ ‖αn‖1 ∼ n−1/4 almo...
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We analyze the Lp-convergence of a previously proposed Girsanov theorem based particle filter for discretely observed stochastic differential equation (SDE) models. We prove the convergence of the algorithm with the number of particles tending to infinity by requiring a moment condition and a step-wise initial condition boundedness for the stochastic exponential process giving the likelihood ra...
متن کاملTR-2006002: A Replacement Theorem for LP
The replacement theorem for classical and normal modal logics is a fundamental tool. It says that if A and B have been proved equivalent, occurrences of A in a formula may be replaced with occurrences of B to produce a formula equivalent to the original one. This theorem does not hold for LP, Logic of Proofs. A replacement for replacement is not simple to formulate. In this note I have provided...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1969
ISSN: 0003-4851
DOI: 10.1214/aoms/1177697609