Convergence Properties of Convergence with Probability One

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

Weak Convergence of Probability Measures

This text contains my lecture notes for the graduate course “Weak Convergence” given in September-October 2013 and then in March-May 2015. The course is based on the book Convergence of Probability Measures by Patrick Billingsley, partially covering Chapters 1-3, 5-9, 12-14, 16, as well as appendices. In this text the formula label (∗) operates locally. The visible theorem labels often show the...

متن کامل

On the Toeplitz Lemma, Convergence in Probability, and Mean Convergence

Three examples are provided which demonstrate that “convergence in probability” versions of the Toeplitz lemma, the Cesàro mean convergence theorem, and the Kronecker lemma can fail. “Mean convergence” versions of the Toeplitz lemma, Cesàro mean convergence theorem, and the Kronecker lemma are presented and a general mean convergence theorem for a normed sum of independent random variables is e...

متن کامل

Almost sure convergence, convergence in probability and asymptotic normality

In the previous chapter we considered estimator of several different parameters. The hope is that as the sample size increases the estimator should get ‘closer’ to the parameter of interest. When we say closer we mean to converge. In the classical sense the sequence {xk} converges to x (xk → x), if |xk − x| → 0 as k → ∞ (or for every ε > 0, there exists an n where for all k > n, |xk − x| < ε). ...

متن کامل

Convergence properties of

In this paper, we present a class of trust region algorithms for minimization problems within convex feasible regions, in which the structure of the problem is explicitly used in the deenition of the trust region. This development is intended to reeect the possibility that some parts of the problem may be more accurately modelled than others, a common occurrence in large-scale nonlinear applica...

متن کامل

Convergence Properties of Optimization

The satissability (SAT) problem is a basic problem in computing theory. Presently, an active area of research on SAT problem is to design eecient optimization algorithms for nding a solution for a satissable CNF formula. A new formulation, the Universal SAT problem model, which transforms the SAT problem on Boolean space into an optimization problem on real space has been developed 31, 35, 34, ...

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: The Annals of Mathematical Statistics

سال: 1966

ISSN: 0003-4851

DOI: 10.1214/aoms/1177699169