and. 



il > 2 



]-! 



-w/2 



dw = e 



-1 



(56] 



X^ < 2 ] = 1 - e-1 , 



(57) 



it follows that the conditional densities needed to evaluate equations 

 (53) and (54) are: 



r -W/2 



2 e 



2.0 (w) = 

 X^>2 



2<7 f^5 



, for w > 2 



, otherwise 



. ,-/2 



X^<2 



•1- 



, for 0<w<2 



2(l-e ^) 



, otherwise 



(58) 



(59) 



Thus, the quantities in equations (53) and (54) are given by; 



oo 



-w/2 



T p^(fm) / 9 e" 



theoretical a^ = t— I (w - 2)^^ — 



4e Z, 



dw 



{ 1.414 p(fj} 



2 p^(f^) = 1.414 p(fj 



(60) 



theoretical a"^ = — r— / (w - 2)^^ — - — dw 



4(l-e'') J^ 



(61) 



(#) 



'(fm) = { 0.6465 p(f^)} 



76 



