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Generalized Minimum Perpendicular Distance Square Method of Estimation
Department of Statistics, Jahangirnagar University, Savar, Bangladesh
Department of Statistics, Jahangirnagar University, Savar, Bangladesh
Department of Statistics, Jahangirnagar University, Savar, Bangladesh
Department of Statistics, Jahangirnagar University, Savar, Bangladesh
- 1 Department of Statistics, Jahangirnagar University, Savar, Bangladesh
- 2 Department of Statistics, Jahangirnagar University, Savar, Bangladesh
- 3 Department of Statistics, Jahangirnagar University, Savar, Bangladesh
- 4 Department of Statistics, Jahangirnagar University, Savar, Bangladesh
Applied Mathematics·Volume 03 (2012)·Pages 1945–1949·Published 12 December 2012·DOI10.4236/am.2012.312266
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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.
KeywordsHeteroscedasticityOrdinary Least Square MethodMinimum Perpendicular Distance Square MethodGeneralized Least Square Method
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