@article{(Open Science Index):https://publications.waset.org/pdf/1168, title = {Orthogonal Polynomial Density Estimates: Alternative Representation and Degree Selection}, author = {Serge B. Provost and Min Jiang}, country = {}, institution = {}, abstract = {The density estimates considered in this paper comprise a base density and an adjustment component consisting of a linear combination of orthogonal polynomials. It is shown that, in the context of density approximation, the coefficients of the linear combination can be determined either from a moment-matching technique or a weighted least-squares approach. A kernel representation of the corresponding density estimates is obtained. Additionally, two refinements of the Kronmal-Tarter stopping criterion are proposed for determining the degree of the polynomial adjustment. By way of illustration, the density estimation methodology advocated herein is applied to two data sets.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {7}, year = {2011}, pages = {1089 - 1096}, ee = {https://publications.waset.org/pdf/1168}, url = {https://publications.waset.org/vol/55}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 55, 2011}, }