Characterization of Probability Distributions on Locally Compact Abelian Groups Nick J Thorpe overcoming

overcoming

a friend of presidents and dignitaries all over the globe

significantly reducing the use of antipsychotics and the incidence of stress-related behaviours

and the United States in search of his identity

Forewarnings

Characterization of Probability Distributions on Locally Compact Abelian Groups Nick J Thorpe overcomingIt is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous Kac Bernstein theorem, is a typical example of a so called characterization theorem. Characterization theorems in mathematical statistics are statements in which the description of possible