On Burdick's symmetry problem

نویسنده

  • L. Mattner
چکیده

Let P be a probability measure on the real line R such that each of the product measures P n assigns the value 1=2 to every half space in R n having the origin as a boundary point. Then P is symmetric. Example: A strictly stable law on R is symmetric ii it has median zero. The treated symmetry problem is related to the problem of characterizing the distribution of X 1 by the distribution of (X 2 + X 1

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تاریخ انتشار 1997