Refinement of some moment inequalities

نویسنده

  • Slavko Simic
چکیده

In this paper we give refinements of some convex and log-convex moment inequalities of the first and second order using a special kind of positive definite form. An open problem concerning eight parameter refinement of second order is also stated with some applications in Information Theory.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A note on the Young type inequalities

In this   paper,  we   present  some  refinements  of the   famous Young  type  inequality.   As  application  of   our   result, we  obtain  some  matrix inequalities   for   the  Hilbert-Schmidt norm  and   the  trace   norm. The results    obtained   in  this  paper  can  be   viewed   as  refinement  of  the   derived  results   by  H.  Kai  [Young  type  inequalities  for matrices,  J.  Ea...

متن کامل

Moment Inequalities for Supremum of Empirical Processes of‎ ‎U-Statistic Structure and Application to Density Estimation

We derive moment inequalities for the supremum of empirical processes of U-Statistic structure and give application to kernel type density  estimation ‎and estimation of the distribution function for functions of observations.  

متن کامل

Set Estimation and Inference with Models Characterized by Conditional Moment Inequalities

This paper studies set estimation and inference of models characterized by conditional moment inequalities. A consistent set estimator and a con…dence set are provided in this paper. Previous studies on set estimation and inference with conditional moment inequalities typically use only a …nite set of moment inequalities implied by the conditional moment inequalities. We consider an alternative...

متن کامل

Convergence Theorems of Iterative Methods for System of Nonconvex Variational Inequalities

In this paper, we suggest and analyze some iterative methods for solving the system of nonconvex variational inequalities with two nonlinear mappings by using the projection technique. We show that the strong convergence of these iterative methods to the solutions of the system of nonconvex variational inequalities. Consequently, the results presented in this paper can be viewed as an improveme...

متن کامل

Moment inequalities for functions of independent random variables

A general method for obtaining moment inequalities for functions of independent random variables is presented. It is a generalization of the entropy method which has been used to derive concentration inequalities for such functions [7], and is based on a generalized tensorization inequality due to Lata la and Oleszkiewicz [25]. The new inequalities prove to be a versatile tool in a wide range o...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1509.08519  شماره 

صفحات  -

تاریخ انتشار 2015