Weak and strong moments of random vectors

ثبت نشده
چکیده

We discuss a conjecture about comparability of weak and strong moments of log-concave random vectors and show the conjectured inequality for unconditional vectors in normed spaces with a bounded cotype constant.

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

Rates of Approximation in the Multidimensional Invariance Principle for Sums of I.i.d. Random Vectors with Finite Moments

The aim of this paper is to derive some consequences of the main result of Götze and Zaitsev [5] (see Theorem 2 below). We shall show that the i.i.d. case of this result implies the multidimensional version of a result of Sakhanenko [12]. We shall obtain bounds for the rate of strong Gaussian approximation of sums of i.i.d. R-valued random vectors ξj having finite moments E ‖ξj‖ , γ > 2. We con...

متن کامل

Dynamics of an adaptive randomly reinforced urn

Adaptive randomly reinforced urn (ARRU) is a two-color urn model where the updating process is defined by a sequence of non-negative random vectors {(D1,n, D2,n);n ≥ 1} and randomly evolving thresholds which utilize accruing statistical information for the updates. Let m1 = E[D1,n] and m2 = E[D2,n]. In this paper we undertake a detailed study of the dynamics of the ARRU model. First, for the ca...

متن کامل

On Weak Tail Domination of Random Vectors

Motivated by a question of Krzysztof Oleszkiewicz we study a notion of weak tail domination of random vectors. We show that if the dominating random variable is sufficiently regular weak tail domination implies strong tail domination. In particular positive answer to Oleszkiewicz question would follow from the so-called Bernoulli conjecture. Introduction. This note is motivated by the following...

متن کامل

On Weak Tail Domination of Random Vectors

Motivated by a question of Krzysztof Oleszkiewicz we study a notion of weak tail domination of random vectors. We show that if the dominating random variable is sufficiently regular then weak tail domination implies strong tail domination. In particular positive answer to Oleszkiewicz question would follow from the so-called Bernoulli conjecture. We also prove that any unconditional logarithmic...

متن کامل

IDENTIFICATION OF LEISHMANIA SPECIES FROM DIFFERENT PARTS OF IRAN USING A RANDOM AMPLIFIED POLYMORPHIC DNA IN HUMANS, ANIMAL RESERVOIRS AND VECTORS

In this study, we used Random Amplified Polymorphic DNA (RAPD) for identification of 17 isolates of Leishmania from the skin and reticuloendothelial system of humans, animal reservoirs (rodent and dog) and sandflies in various parts of Iran in the last decade. Fifteen species have been confirmed by isoenzyme characterization by the London School of Hygiene and Tropical Medicine and Shiraz ...

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011