Research Article Open Access

On Calculating the Hougaard Measure of Skewness in a Nonlinear Regression Model with Two Parameters

S. A. EL-Shehawy

Abstract

Problem statement: This study presented an alternative computational algorithm for determining the values of the Hougaard measure of skewness as a nonlinearity measure in a Nonlinear Regression model (NLR-model) with two parameters. Approach: These values indicated a degree of a nonlinear behavior in the estimator of the parameter in a NLR-model. Results: We applied the suggested algorithm on an example of a NLR-model in which there is a conditionally linear parameter. The algorithm is mainly based on many earlier studies in measures of nonlinearity. The algorithm was suited for implementation using computer algebra systems such as MAPLE, MATLAB and MATHEMATICA. Conclusion/Recommendations: The results with the corresponding output the same considering example will be compared with the results in some earlier studies.

Journal of Mathematics and Statistics
Volume 5 No. 4, 2009, 360-364

DOI: https://doi.org/10.3844/jmssp.2009.360.364

Submitted On: 14 July 2009 Published On: 31 December 2009

How to Cite: EL-Shehawy, S. A. (2009). On Calculating the Hougaard Measure of Skewness in a Nonlinear Regression Model with Two Parameters. Journal of Mathematics and Statistics, 5(4), 360-364. https://doi.org/10.3844/jmssp.2009.360.364

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Keywords

  • Bias
  • computer algebra systems
  • curvature
  • measures of nonlinearity
  • nonlinear regression models
  • skewness