It turns out that our theorem is a natural extension of the classical result obtained by Lvy (1937).doi:10.1080/03610926.2015.1066816Feng HuMarcel Dekker, Inc.Communication in Statistics Theory & Methods
ON A FUNDAMENTAL THEOREM IN THE THEORY OF DISPERSING BILLIARDS Billiards are considered within domains in the plane or on the two-dimensional torus with the euclidian metric, where the boundaries of these domains are everywhere convex inward. It is shown that the flow {St} generated by such a...
According to the central limit theorem ( CLT ) (see Central Limit Theorems ), the distribution function F n of a normalized sum n 1 ∕ 2 ( X 1 + … + X n ) of n independent random variables X 1 , … , X n , having a common distribution with mean zero and variance σ 2 > ...
follows from the conditions of the theorem. The assumptions on Lipschitz continuity are very strong and “typically” fail (see Section 6.2). On one hand, the modern work in the field has found ways to circumvent the requirement that the center foliation be Lipschitz continuous, and on the ot...
In this paper,we first prove that the Levy's theorem of the modulus of continuity of the Wiener pro... C Lu - 《Chinese Journal of Applied Probability & Statistics》 被引量: 13发表: 1986年 On the Equivalence of $\\sigma $-Algebras in the Filtering Problem of Diffusion Processes Let {...
Extreme Value Theorem | Proof & Examples Start today. Try it now Math 104: Calculus 16 chapters | 136 lessons | 11 flashcard sets Ch 1. Graphing and Functions Ch 2. Continuity Ch 3. Vectors in Calculus Ch 4. Geometry and Trigonometry Ch 5. How to Use a Scientific... Ch 6. Lim...
equations salt analysis acids, bases, and salts benzene organometallic compounds atomic number and mass number more maths pythagoras theorem prime numbers probability and statistics fractions sets trigonometric functions relations and functions sequence and series multiplication tables determinants and matrices ...
Central limit theorem and the bootstrap for -statistics of strongly mixing data The asymptotic normality of U -statistics has so far been proved for iid data and under various mixing conditions such as absolute regularity, but not for ... Herold,Dehling,and,... - 《Journal of Multivariate ...
The modulus of continuity theoremfor G-Brownian motion In this paper, our aim is to obtain the modulus of Feng - 《Communications in Statistics Theory & Methods》 被引量: 0发表: 2017年 On L2 modulus of continuity of Brownian local times and Riesz potentials This article is concerned with mo...
Common fixed point results for noncommuting mappings without continuity in generalized metric spaces Using the setting of a generalized metric space, a fixed point theorem is proved for one map, and several fixed point theorems are proved for two maps. The... M Abbas,BE Rhoades - 《Applied ...