Acknowledgment of Priority to "Random Variables with Independent Binary Digits"
نویسندگان
چکیده
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...
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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...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1974
ISSN: 0091-1798
DOI: 10.1214/aop/1176996619