Al. a. Tchouprofp 
193 
W. 
ii) ^ N-1 
2, (N) ' ' 
(iV - 1 )>8 + 4 - 2iV + 7) /i„ ^i. 
+ (SN* -l2N-' + 4'2N-' - 60N + 35) 
-(N-l) {2^N' - 4>8N + 56) fu,, fi, 
-^Q{N -2){N'- ^N-' + \Q,N- - ^ON + 35) fi, fi.^ 
-{Ii-2) {2'iN' - 120N' + 280N - 280) /x/ /x, 
+ iN-2){N-S){N*-^N''+l 8iV- - 60^ + 105) ,x, 
= fi,* + N--^ [6fi, yLi./ - 1 0/x./] 
+ [4/A,. /!., + 3yu,;- - 42/i,, /i./ - 24/1,/ fj,^ + 53/x./] 
+ N[/.is - 20/i„/i., - 15/^/ - 24/A,yU:, + 180//,yti,/ + 192/t,>, - 218/i,/] 
- [4/<8 - 64/i,i /i„ - 54/i/ - /a, + 576/i, fiJ + 688yLt,>, - 
+ ~[6fi,-n2fi,fM,- 102/.,^ - 1 7 
+ 1122/14 /i/ + 1360/z/ - 1398;io^] 
(21). 
- [4/Lt8 - 92/i,i /ta - 95/x/ - 1 60/^5 
+ 1 1 1 0/^4 + 1 400/1/ /io - 1 5 1 5 /i.3^] 
+ [/L/s - 28/1, - 35/i/ - 56/., /i3 + 420/.4 /^/ + 560/t,>, - 630/.,^] 
In the case when the law of distribution of the variable A'' follows the Gauss- 
Laplace law : 
W 
2, (N) 
(3) 
2, (N) 
2, (JV-1) 
(3) 
2, 
...(22). 
<U = (iv- 1) (i\^ + 1) (i\^+ s)(N-i 5)/.,^= f;;;, 
(■1) 
(4) Substituting the values found for T^^^Wj ' ^fW)' ^^'2!'(jv) ^^^^ ^l^W) 
(10), we find : 
j.r, (iV-l)= (i\r_i)(ivr_3) , 
^ 2.(7^) - ^2, (.V)J- = H'i iT3 
12 1 
- M/] - [/^4 - 2/i/] + [/i4 - 3/X2'] 
.(23), 
* Cf. student, "The Probable Error of a Mean " {Diometrika, Vol. vi). 
