Modified Bessel functions and their applications in probability and statistics

DOI10.1016/0167-7152(92)90011-SzbMath0686.62021MaRDI QIDQ1262644

K. Appert

Publication date: 1990

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Bayes estimatorsspherical distributionsModified Bessel functionsuniform distributions on spheres

Mathematics Subject Classification ID

Bayesian inference (62F15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Complete class results in statistical decision theory (62C07)

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Cites Work

• Modified Bessel function asymptotics via probability
• Modified Kent's statistics for testing goodness of fit for the Fisher distribution in small concentrated samples
• Estimation of the non-centrality parameter of a chi squared distribution
• 'Normal' distribution functions on spheres and the modified Bessel functions
• Poisson Processes and a Bessel Function Integral
• An Explicit Formula for the Risk of the Positive-Part James-Stein Estimator
• Computation of Modified Bessel Functions and Their Ratios
• On an Inequality for Modified Bessel Functions
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