Re-formulation of inverse Gaussian, reciprocal inverse Gaussian, and Birnbaum-Saunders kernel estimators

DOI10.1016/j.spl.2013.10.013zbMath1463.62115OpenAlexW2055017467MaRDI QIDQ2444406

Gaku Igarashi, Yoshihide Kakizawa

Publication date: 9 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.spl.2013.10.013

zbMATH Keywords

modified Bessel functionnonparametric density estimatorboundary bias problemgeneralized inverse Gaussian density

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (25)

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Uses Software

• KernSmooth
• DLMF

Cites Work

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• Beta kernel estimators for density functions
• Miscellanea Kernel-Type Density Estimation on the Unit Interval
• A note on generalized Bernstein polynomial density estimators
• Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
• Nonparametric multiplicative bias correction for kernel-type density estimation on the unit interval
• Statistical properties of the generalized inverse Gaussian distribution
• Application of Bernstein polynomials for smooth estimation of a distribution and density function
• Estimation of distribution and density functions by generalized Bernstein polynomials
• Remarks on Some Nonparametric Estimates of a Density Function
• A bias-reduced approach to density estimation using Bernstein polynomials
• Density estimation using inverse and reciprocal inverse Gaussian kernels
• Bernstein polynomial probability density estimation
• Probability density function estimation using gamma kernels

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