The Weak Law of Large numbers

Lecture Probability Theory - Lecture 13: The Weak Law and the Strong Law of Large numbers. In this lecture, we will discuss limit theorems, Chebyshev’s inequality, and convergence “in probability”.

15p cucngoainhan0 10-05-2022 4 1   Download

In this report we present some noncommutative weak and strong laws of large numbers. Two case are considered: a von Neumann algebra with a normal faithful state on it and the algebra of measurable operators with normal faithful trace. 1. Introduction and notations One of the problems occurring in noncommutative probability theory concerns the extension of various results centered around limit theorems to the noncommutative context.

9p tuanlocmuido 19-12-2012 57 2   Download

CHAPTER 7 Chebyshev Inequality, Weak Law of Large Numbers, and Central Limit Theorem. 7.1. Chebyshev Inequality If the random variable y has finite expected value µ and standard deviation σ, and k is some positive number, then the Chebyshev Inequality says

56p leslienguyen 28-10-2010 68 3   Download