SEMAINE D'ÉTUDE SUR LE ROLE DE L’ANALYSE ECONOMETRIQUE Etc. 867

provides a good representation of the function which would be
erived empirically, at least as a first approximation.
Were it to appear that an exponential expression cannot
represent the function adequately, the assumption could be
made that the function e"*°¢(6), where p is an appropriate
constant, could be developed as a Taylor series and quite well
represented by its first terms. This is a relatively weak hypo--hesis,
 and one which does not appear to be inacceptable. The
general properties arising when this hypothesis is postulated
are treated in the appendix ("
As an illustration, values ot

335-2)

335-3)

31

Ê :

(335-4)

335-5)

335-6)

X
ta
pa

_

«£

-t
Gu

(1) The study contained in the appendix considers the function [‘@
‘rom zero to infinity; but the characteristics at infinity of the functions ‘ ‘6)
and ¢(0) need not be taken into account in numerical applications. is
therefore possible to consider only a finite range of variation of 0. ‘or
example the interval (o, 100).

Allais - pag. 171