A short proof of the martingale convergence theorem

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Polya’s Urn and the Martingale Convergence Theorem

This paper is about Polya’s Urn and the Martingale Convergence Theorem. I will start with the formal definition, followed by a simple example of martingale and the basic properties of martingale. Then I will explain the Polya’s Urn model and how it contributes to proving the Martingale Convergence Theorem. Finally, I will give a full proof of the Martingale Convergence Theorem.

متن کامل

A short proof of Harsanyi's purification theorem

A short and more general proof of Harsanyi’s puri...cation theorem is provided through an application of a powerful, yet intuitive, result from algebraic topology.

متن کامل

A different short proof of Brook's theorem

Lovász gave a short proof of Brooks’ theorem by coloring greedily in a good order. We give a different short proof by reducing to the cubic case.

متن کامل

A Short Proof of Zheludev's Theorem

We give a short proof of Zheludev's theorem that states the existence of precisely one eigenvalue in sufficiently distant spectral gaps of a Hill operator subject to certain short-range perturbations. As a by-product we simultaneously recover Rofe-Beketov's result about the finiteness of the number of eigenvalues in essential spectral gaps of the perturbed Hill operator. Our methods are operato...

متن کامل

A Short Proof of McDougall's Circle Theorem

This note offers a short, elementary proof of a result similar to Ptolemy’s theorem. Specifically, let di,j denote the distance between Pi and Pj . Let n be a positive integer and Pi, for 1 ≤ i ≤ 2n, be cyclically ordered points on a circle. If Ri := ∏ 1 ≤ j ≤ 2n j 6= i di,j , then n ∑

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1973

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1973-0324770-x