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Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

Q2 Z2,(Q2) Z2(Q2) - Institute for Water Resources - U.S. Army

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however, because of their nature, the's E. cannot be observed<br />

by the economist (1) . If we were to test this "choice of mode" model<br />

on a sample of firms, no-in<strong>for</strong>mation would be available on these<br />

"additional costs". Let us examine how this model could be set up<br />

<strong>for</strong> a statistical investigation. Assume that Y ij is distributed with -<br />

mean U. and variance a u over a population of firms (which produce a<br />

(2)<br />

good and must choose which of two modes to use. • According to this<br />

model, the firms which record a positive value ofshould choose to<br />

ship all of their output by mode 1, those which have a negative value<br />

ofshould Y ij choose mode 2 , and those with Yij = 0 shnuld be<br />

indifferent between modes. The situation is illustrated by Diagram<br />

2, where 0 appears as the critical value separating two<br />

regions. The region where net income is greater than / ij. should ship<br />

only by mode 1 while that where net income is less thanshould<br />

ship only by mode 2. Note that the mean value U il may be different<br />

from zero, as it is the case in Diagram<br />

Diagram 2<br />

mode 2 shipments ir 1 mode 1 shiPhonts<br />

(1) Note that all these costs are highly particular to each shipper<br />

and vary according to their scale of operation and location.<br />

(2) Note that nothing is assumed concerning the <strong>for</strong>m of the<br />

• distribution.<br />

8

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