42 
Choice in the Distribi(tion of Observations 
and 
'^2;)+l ~ 23)+l<^!/ 2p'^v ^ jy (1 + Cl) "f^ 
2 
3,S • 3,+lS 
From these formulae we find, after applying (45), (51) and (52), 
_a2 3(1 + a) 
~N 1 + 3a 
.(53), 
_a2 1 1 ■ 32 . 5 
" iV ^ ^ 1 + 1 . la • 22 (1 + 2 . 3a) 
1 1 
1 - x2 
a2 5 [2 + 3(1 + a) {x^ - l)f 
iV22 
1 + 6a 
.(54), 
ct2 ^ 3 3 . 52 . 7 
- ^ (1 + a) r 1 ^ 1 _ 3^ • 22 (1 + 2 . 5a) 
1 
1 3 + a 
1 - 
3 . 5 
S. 
(1 + a) 
of 7 (l + a)a:2[2 + 5(l + 3a)(x2- 1)P 
iV22 (1 + 3a) (1 + 10a) 
1 1 + a 
2 
3 
.(55), 
1.32.5 1.32.53.72.9 /2\2 
4 i ^'22(l + 2.3a)"22.2«(l + 3.5a)V3 
1 — ^2 
(1 -:C2 
2.4 4.6 
3.5 5.7 
a2 9 (1 + a) [8 + 20 (2 + 9a) (a:2 - 1) + 35 (1 + 6a) jx'' - 1)2]2 
N ■ 2« 
(1 + 6a) (1 + L5a) 
N 
3 . 52 . 7 3 .52.7^92. 11 / 2 V 
^ 22 (1 + 2 . 5a) ■ 22 . 26(1 + 3 . 7a) V3 . 5 
2 4 
3.5 7 
2.4 4^ 
3.5.7 7T9 
cr2 n (1 + a) x"" [8 + 28 (2 + l^g) {x^ - 1) + 63 (1 + 10a) {x^- l)^f 
iV ■ 26 ' (1 + 10a) (1 + 21a) 
1 1+a 1 1 
1 
1 - x^ 
(1 - ^2)2 
1 
.(56), 
1 
(57), 
o a^,,, ,1.32.53.72.9 1.32.53.7*.9M12.13/2.23\2 
22. 26 ( 1 + 3 . 5a) ■ (22 . 3)2. 2^2 ( 1 + 4 .7a) . 5 
1 — 3:;2 
(1-X2)2 
(1-^2)3 
2 4 6 
3 5 7 
2.4 4.6 6.8 
375 577 7.9 
2.4.6 4.6.8 6.8.10 
3.5.7 5.7.9 7.9.11 
(72 13(l+a)[16 + 168(l + 10a)(x2-l) + 126(3 + 40a)(x2-l)2+231(l + 15a)(a;2-l)3] 
iV 28 
(1 + 15a) (1 + 28a) 
.(58). 
