منابع مشابه
Symmetrization of Binary Random Variables
A random variable Y is called an independent symmetrizer of a given random variable X if (a) it is independent of X and (b) the distribution of X + Y is symmetric about 0. In cases where the distribution of X is symmetric about its mean, it is easy to see that the constant random variable Y = −EX is a minimum-variance independent symmetrizer. Taking Y to have the same distribution as −X clearly...
متن کاملSymmetrization of Binary Random Variables 2
A random variable Y is called an independent symmetrizer of a given random variable X if (a) it is independent of X and (b) the distribution of X + Y is symmetric about 0. In cases where the distribution of X is symmetric about its mean, it is easy to see that the constant random variable Y = EX is a minimum-variance independent symmetrizer. Taking Y to have the same distribution as X clearly p...
متن کاملOn the Secret-Key Rate of Binary Random Variables
Consider a scenario in which two parties Alice and Bob as well as an opponent Eve receive the output of a binary symmetric source (e,g. installed in a satellite) over individual, not necessarily independent binary symmetric channels. Alice and Bob share no secret key initially and can only communicate over a public channel completely accessible to Eve. The authors derive a lower bound on the ra...
متن کاملStatistical and Linear Independence of Binary Random Variables
Linear cryptanalysis makes use of statistical models that consider linear approximations over block cipher and random permutation as binary random variables. In this note we develop conditions under which linear independence of binary random variables and statistical independence of their correlations are equivalent properties. As an application we obtain that the correlations of linear combina...
متن کاملOn the Ratio of Rice Random Variables
The ratio of independent random variables arises in many applied problems. In this article, the distribution of the ratio X/Y is studied, when X and Y are independent Rice random variables. Ratios of such random variable have extensive applications in the analysis of noises of communication systems. The exact forms of probability density function (PDF), cumulative distribution function (CDF) a...
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ژورنال
عنوان ژورنال: Bernoulli
سال: 1999
ISSN: 1350-7265
DOI: 10.2307/3318557