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.

Abstract

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.