ABSTRACT
THEOREM 19.2.7 Consider r independently distributed random points P I , . . . P, in R" where the first q of them are uniform over the surface of an n-sphere with center 0 and radius unity and the remaining r - q have the Gaussian densities given in (19.2.27). Then the hth moment of the r-content Ur>" of the r-parallelotope created b y the vectors 0731, . . . , OP,. is given b y
Note that two gammas can be cancelled from E(O$,,) above. Also observe that in the density of (19.2.27) we could have replaced X by A, for each j still the procedure goes through.
