164 Expectation of Moments of Frequeiu ij Distribntions 
and 
Efl',^ fl',,_ fx',.^ ix',.^ = {Nfl,^ + , + + 
1 r 
1 
+ Mr, + r, Mr, ^-3 + P-'-. + r^ Mr, M'r, + Mr.,+r, Mr, Mr^ + Mr^+r, Mr, Mr.) " '^Mr, Mr., M^s f^> J 
and 
= {(Mrr + r, Mr-^+r, + Mr. + r^ Mr., + r, + M'r. + r, Mr^ + r^) - [Mr^ + r^ Mr^ Mr, + Mr^+r^ Mr^ Mr, 
+ Mr,+r, Mr., Mr^ Mr^+r^ Mr, Mr, + Mr,+r, M'r, Mr^ + Mr^+r, Mr, Mr.,) + 3/i,j Mr., M'^ /^r, 
'Jfs t^'i+'2+''3+'-4 ~ (/*'i+'-2+'-3 f^'-, + M'r, + r.,+r, Mr^ + Mr,+r3+r, Mr, + Mr^+rs+r, Mr,) 
- (f^r, + r., Mr., + r, + H r,+r, Mr., + r, + Mr,+r, Mr^+r^) 
+ 2 {Mr,+r, Mrs Mr, + Mr, + r3 Mr., Mr, + M'r,+r, Mr, Mr., + Mr.,+r3 Mr, Mr, + Mr,+r, Mr, Mr 
+ Mr^ + r, Mr, M^r,) - ^Mr, Mr, Mr^ Mr,]- 
The coefificient of IjN-' in 
E (fx',^ - fX,^) {fx',^ - fX,.,^) ifx',^ - /X,.^) - fX,^) 
