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Unbiased Estimation in the Non-central Chi-Square Distribution

✍ Scribed by F López-Blázquez

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
128 KB
Volume
75
Category
Article
ISSN
0047-259X

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✦ Synopsis

We give expansions for unbiased estimators based on the arithmetic mean of an analytic function of the non-centrality parameter of the non-central chi-square distribution. The terms of these expansions depend on the derivatives of the function to be estimated and on certain polynomials which are constructed from the generalized Laguerre polynomials. We also investigate the asymptotic properties of the proposed estimators.

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