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