Associate an optimal normal distribution with a finite numerical discrete data set via extended spline functions

DOI10.1080/03610926.2021.1974480OpenAlexW3201198089MaRDI QIDQ6107525

Ray-Ming Chen

Publication date: 3 July 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2021.1974480

zbMATH Keywords

approximationnormal distributioninterpolantnatural spline functionsfinite data set

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

• Cardano's formula, square roots, Chebyshev polynomials and radicals
• Interpolating cubic splines
• Interpolation and approximation by polynomials
• Recent Developments in Nonparametric Density Estimation
• The Evolution of the Normal Distribution
• On the histogram as a density estimator:L 2 theory
• An Introduction to the Implementation and Theory of Nonparametric Density Estimation
• Bayesian diagnostics for cheking assumptions of normality
• Measures of multivariate skewness and kurtosis with applications
• Unnamed Item

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