TITLE:
Generalized Minimum Perpendicular Distance Square Method of Estimation
AUTHORS:
Rezaul Karim, Morshed Alam, M. M. H. Chowdhury, Forhad Hossain
KEYWORDS:
Heteroscedasticity; Ordinary Least Square Method; Minimum Perpendicular Distance Square Method; Generalized Least Square Method
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.12,
December
21,
2012
ABSTRACT: In case of heteroscedasticity, a Generalized Minimum Perpendicular Distance Square (GMPDS) method has been suggested instead of traditionally used Generalized Least Square (GLS) method to fit a regression line, with an aim to get a better fitted regression line, so that the estimated line will be closest one to the observed points. Mathematical form of the estimator for the parameters has been presented. A logical argument behind the relationship between the slopes of the lines and has been placed.