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Generalized Minimum Perpendicular Distance Square Method of Estimation

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DOI: 10.4236/am.2012.312266    4,458 Downloads   6,307 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

R. Karim, M. Alam, M. Chowdhury and F. Hossain, "Generalized Minimum Perpendicular Distance Square Method of Estimation," Applied Mathematics, Vol. 3 No. 12, 2012, pp. 1945-1949. doi: 10.4236/am.2012.312266.

References

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[3] M. F. Hossain and G. Khalaf, “Minimum Perpendicular Distance Square Method Estimation,” Journal of Applied Statistical Science, Vol. 17, No. 2, 2009, pp. 153-180.
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[5] M. R. Spiegel and John Lin, “Mathematical Handbook of Formulas and Tables,” 2nd Edition, Mcgraw-Hill, New York, 1999.

  
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