The Gaussian Case 
Equations(7.2), (7.3), (7.4) and (7.5) hold 
in addition OT" E (Long oa eee 
if Pons2—Hean < 8(e) 
and O S W(uone1) Ss 27 
such that p(W(Hons))< 227) = a 
when O <a <I 
Then Equation (7.7) has a limit and 
wT 
lim de (n(1))* dt = Emax 
Too | ; 2 
and if (A(u))*is piecewise continuous 
dE (pw) = ( A(u))* du 
and 7(t) = [ os(pt + Y(u))(A(u))® de 
O 
partial sum 
(ft) g mal 21M Alten +i))°(Hens2en) COS(Haneit + W(Hon+t )) 
MIN (Hue THK) = Ae 
MAX (pps Hp) = Aa 
7 Re lind, (Alongs ))*( Hones Hon) 
MiN(Ux47 UK) = Aju 
MOx (U547Up) = Agu 
Gaussian Distribution of Amplitudes 
eiuens Hig V(Hanet)) 
2 
SVAz 
| 
t,)<K) = e maxtd 
p(7(4,) <K) a (3 
4 2 
p(K< m(t)<K+dK) = @'7Emax aK 
Tee 
Plate XX 
— [|@)ts) 
ClET) 
(7.28) 
(7.29) 
(7.30) 
(7.31) 
(7.32) 
(733) 
(7.34) 
