The problem of surface generating on the basis of experimental data is presented in this lecture. Special attention is given to the implementation of moving ordinary least squares and moving total least squares. Some results done in the Institute for Applied Mathematics in Osijek are mentioned which were published in the last several years.

a University of North Carolina Wilmington, Cameron School of Business, 601 South College Road, Wilmington, NC 28403, United States b University of Nebraska at Omaha, The Peter Kiewit Institute, 1110 S 67th St., Omaha, NE 68182-0392, United States c University of North Texas, 1155 Union Circle #305219, Denton, TX 76203-5017, United States d Sam Houston State University, College of Business Admin...

Letting ) (i S be the i-th largest city in a country, it is often observed that i S i log log 1 0 ) ( α α + ≈ for some 0 0 > α and 0 1 < α . It is called rank size rule when 1 1 − = α . This relationship has been examined by means of ordinary least squares estimation and t test in the literature. However, since ) (i S is heteroskedastic and autocorrelated, t statistics do not have standard dist...

Alternative Estimation Procedures to OLS We have seen that OLS does a nice job in model estimation when the CLRM assumptions are met. We have also seen that violations of the CLRM lead to inefficiency and estimators that are not BLUE. We have also seen that the model y=Xβ+ε can be transformed to produce estimators that are BLUE. We now consider additional estimation techniques to least squares....