Abstract
This paper is concerned with a Rodrigues' formula for generating new classes of polynomials. The associated density functions belong to the family of generalized Pearson curves, which extends the classical Pearson family. Various properties of these polynomials (degree, orthogonality ...) are investigated and then exploited to derive several related results, especially characterizations, in probability.
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Lefèvre, C., Papathanasiou, V. & Utev, S. Generalized Pearson Distributions and Related Characterization Problems. Annals of the Institute of Statistical Mathematics 54, 731–742 (2002). https://doi.org/10.1023/A:1022403132741
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DOI: https://doi.org/10.1023/A:1022403132741