924 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 2 
Thus we see that if w, is not too large, A will not differ 
greatly from I. 
On the contrary, if w, is near unity the superior limit of 
A given by (518-10) becomes very large. For the values of w, 
near unity the inequality (518-5) becomes 
(518-12) 
D+I 
20. 
It may at first sight appear to be a rather surprising 
result that if w, is near unity, that is, if the relative weight 
given to the term B,(8) corresponding to the exponential 
model (!) is relatively large, A can reach very high values 
whereas in the case of the exponential model, À = 1 (2). 
(*) Relation (510-13). 
(2) From (518-6) and (518-2) 
EN O,-1=00+R (p—1) (1—1w,) 
I +2 
D RO,-1= 0. +R P ) ®+2) (1 —tn,) 
Thus from (512-14) 
Tn w, +2", 
L an WŸ 
2 2, ) 
(2) 
3) 
and 
A) 
Ww, +k 
".- 
) (+4) (1—wo) 
I (1—y.)]2 
For small values of « 
5) 
For small valves of 
12 
A vo. 
6) 
p= 
If 
D 
~~ 
T11] Allais - pag. 228