A Note on Hypercontractivity of Stable Random Variables

نویسندگان

چکیده

برای دانلود رایگان 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

A Survey on Simulating Stable Random Variables

In general case, Chambers et al. (1976) introduced the following algorithm for simulating any stable random variables $ X/sim(alpha, beta, gamma, delta) $ with four parameters. They use a nonlinear transformation of two independent uniform random variables for simulating an stable random variable... (to continue, click here)

متن کامل

A Note on Invariant Random Variables

One method of improving safety of transmissions between simple sensing devices is to assign sets of cryptographic keys to them. Methods of distributions of such keys are called key predistribution schema. The basic probabilistic key predistribution schema from Eschenauer and Gligor (2002) can be described as follows: we have a pool K of cryptographic symmetric keys of cardinality n; each device...

متن کامل

An Extremal Inequality Related to Hypercontractivity of Gaussian Random Variables

We establish that Gaussian distributions are the optimizers for a particular optimization problem related to determining the hypercontractivity parameters for a pair of jointly Gaussian random variables.

متن کامل

A Note on Sums of Independent Random Variables

provided (Xn) are either symmetric or positive, and in the first case p ≥ 2, and in the second case p ≥ 1. The main novelty here is the fact that, contrary to the classical inequalities, the constants here are independent of p. Certain particular cases of Lata la’s result had been known earlier (see e.g. Hitczenko (1993), Gluskin and Kwapień (1995) or Hitczenko, Montgomery-Smith and Oleszkiewic...

متن کامل

A Note on the Sum of Correlated Gamma Random Variables

The sum of correlated gamma random variables appears in the analysis of many wireless communications systems, e.g. in systems under Nakagami-m fading. In this Letter we obtain exact expressions for the probability density function (PDF) and the cumulative distribution function (CDF) of the sum of arbitrarily correlated gamma variables in terms of certain Lauricella functions. Index Terms Gamma ...

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 Probability

سال: 1990

ISSN: 0091-1798

DOI: 10.1214/aop/1176990645