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

Journal of Mathematics and Statistics

S. A. EL-Shehawy¹ 

关键词: Bias;    computer algebra systems;    curvature;    measures of nonlinearity;    nonlinear regression models;    skewness;   

DOI  :  10.3844/jmssp.2009.360.364

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

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.

【 授权许可】

Unknown