018 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 
When K grows from zero to infinity, A grows from 3/4 to 1, 
so that 
(515-16) 
3/4 
In all cases it can be seen that a sufficiently rapid decline 
in the w,_; will result in a value of A relatively near to 1. 
From this, it may be deduced that in this case the proper- 
ties of the model will not differ greatly from those of the expo- 
nential model. 
Case in which the w__, vanish bevond a Certain Rank 
516. Now examine the case in which the »,_, vanish beyond 
a certain rank and assume that 
516-1) 
w, 4 =0 
for 
n>b+l 
a) Case in which all w__, are of the same order of magnitude 
Assume firstly that all w,_, are of the same order of ma- 
gnitude, for example, that they are all equal. 
Then from relation (512-14) 
(516-2) 
— 
pi ple] 
ES 
2 vad J 
(22) 
'11] Allais - pag. 222