... 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 |

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