A Note on the Measurement of Cost/Quantity Relationships in the Aircraft Industry
A. R. Gallant
Journal of the American Statistical Association, Vol. 63, No. 324. (Dec., 1968), pp. 1247-1252.
Many practical applications of learning theory in the aircraft industry require
the estimation of the parameters of yi = aib where yi is the
cost of the ith aircraft. Typically data are available by
production lot rather than by individual aircraft. The estimation procedure
usually employed is the application of least squares to
logyn = loga = blogxn where yn is the mean cost of
a production lot and xn is a quantity
"near" the mean of serial
numbers of the craft. This note presents a probability model which leads
directly to maximum likelihood estimators and avoids difficulties inherent in
the usual approach. An example of estimation employing methods of non-linear
estimation is presented.