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Power Series Expansions

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Numerical Analysis for Statisticians

Part of the book series: Statistics and Computing ((SCO))

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Abstract

Power series expansions are old friends of all workers in the mathematical sciences [4, 5, 10]. This chapter emphasizes special techniques for handling and generating the power series encountered in computational statistics. Most expansions can be phrased in terms of recurrence relations. Logarithmic differentiation is one powerful device for developing recurrences. Our applications of logarithmic differentiation to problems such as the conversion between moments and cumulants illustrate some of the interesting possibilities.

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Authors and Affiliations

  1. Departments of Biomathematics, Human Genetics, and Statistics David Geffen School of Medicine, University of California, Los Angeles, Le Conte Ave. 10833, Los Angeles, CA, 90095-1766, USA

    Kenneth Lange

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  1. Kenneth Lange
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Correspondence to Kenneth Lange .

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Lange, K. (2010). Power Series Expansions. In: Numerical Analysis for Statisticians. Statistics and Computing. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5945-4_2

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