... o = l, ..., n then show that EW\V) = E(U) (constant regression) a#39;implies that the population is symmetric (Cacoullos, 1967a). ... fAdo sK~2 d* f(t+szj) f(-t+Bz2)...f(t+ szn) where C is a constant and f(x) is the parent density function which is assumed to be continuous. ... Prove part 2 of theorem 7.1 under the conditions: Exercises 67.
|Title||:||Characterizations of the normal probability law|
|Author||:||A. M. Mathai, Giorgio Pederzoli|
|Publisher||:||Halsted Press - 1977|