Probabilistic inequalities and remarks

نویسندگان

  • George A. Anastassiou
  • Vassilis G. Papanicolaou
چکیده

The authors use their recently proved integral inequality to obtain bounds for the covariance of two random variables (a) in a general setup and (b) for a class of special joint distributions. The same inequality is also used to estimate the difference of the expectations of two random variables. Finally, the authors study the attainability of a related inequality. @ 2002 Elsevier Science Ltd. All rights reserved. Keywords+ovariance, Joint distribution, Multidimensional sharp integral inequality, Partial derivative.

برای دانلود رایگان 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

SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES

In this paper, the concepts of positive dependence and linearlypositive quadrant dependence are introduced for fuzzy random variables. Also,an inequality is obtained for partial sums of linearly positive quadrant depen-dent fuzzy random variables. Moreover, a weak law of large numbers is estab-lished for linearly positive quadrant dependent fuzzy random variables. Weextend some well known inequ...

متن کامل

The Reliable Hierarchical Location-allocation Model under Heterogeneous Probabilistic Disruptions

This paper presents a novel reliable hierarchical location-allocation model where facilities are subject to the risk of disruptions. Based on the relationship between various levels of system, a multi-level multi-flow hierarchy is considered. The heterogeneous probabilistic disruptions are investigated in which the constructed facilities have different site-dependent and independent failure rat...

متن کامل

Some New Hilbert-pachpatte’s Inequalities

Some new Hilbert-Pachpatte discrete inequalities and their integral analogues are established in this paper. Other inequalities are also given in remarks.

متن کامل

Some Remarks on Transportation Cost and Related Inequalities

We discuss transportation cost inequalities for uniform measures on convex bodies, and connections with other geometric and functional inequalities. In particular, we show how transportation inequalities can be applied to the slicing problem, and give a new log-Sobolev-type inequality for bounded domains in Rn.

متن کامل

Some remarks on the role of Generalized Convexity in the theory of Variational Inequalities

The paper aims to emphasise the parallelism between the development of the analysis of Generalized Convexity and the theory of Variational Inequalities. More in detail, the relationships between generalized invexity and Prevariational Inequalities are analised.

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

عنوان ژورنال:
  • Appl. Math. Lett.

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2002