An optimal variable cell histogram based on the sample spacings

DOI10.1214/aos/1176348523zbMath0745.62034OpenAlexW2017739710MaRDI QIDQ1192970

Yuichiro Kanazawa

Publication date: 27 September 1992

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176348523

zbMATH Keywords

order statisticsHellinger distancesample spacingsindependent identically distributed sampleinterval of finite lengthlow density regionsvariable \(k\)-cell histogram

Mathematics Subject Classification ID

Density estimation (62G07) Order statistics; empirical distribution functions (62G30)

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On Variance-Stabilizing Multivariate Non Parametric Regression Estimation ⋮ Bin width selection in multivariate histograms by the combinatorial method ⋮ A note on the e-a histogram ⋮ Combining regular and irregular histograms by penalized likelihood ⋮ Hellinger distance and Akaike's information criterion for the histogram ⋮ A new algorithm for fixed design regression and denoising ⋮ Estimating a density, a hazard rate, and a transition intensity via the \(\rho\)-estimation method ⋮ A comparison of automatic histogram constructions ⋮ Hellinger distance and Kullback-Leibler loss for the kernel density estimator

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