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3  Hypothesis Testing                                         105



                             I.lg
                              3
                                    I -0.9








                              2








                               1










                                                 i                2     Pc
                           Fig. 3-19  Relation between po and pg for gamma densities.

                    closer  to po so that  pR could  be  used  for a  wider  range  of  distributions.  The
                    mth order moments of the transformed variable, y, are given in (3.78).  Thus,



                                                                               (3.163)




                                                                               (3.164)



                    Then, using PI = P2 = p for simplicity, p,? in the y-space is
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