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Lower bounds for bandwidth selection in density estimation

https://doi.org/10.1007/bf01192160
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19/19 checkable references clean · checked 2026-08-28

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

10 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 19 checked references that resolve
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An alternative method of cross-validation for the smoothing of density estimates
resolves10.1093/imamat/20.3.335
A Review of Some Non-parametric Methods of Density Estimation
resolves10.1016/0304-4149(82)90003-5
Limit theorems for stochastic measures of the accuracy of density estimators
resolves10.1007/BF00363516
Extent to which least-squares cross-validation minimises integrated square error in nonparametric density estimation
resolves10.1016/0167-7152(87)90083-6
Estimation of integrated squared density derivatives
resolves10.1016/0167-7152(90)90090-T
A short note on optimal bandwidth selection for kernel estimators
resolves10.1016/0047-259X(86)90090-4
Convergence properties of an empirical error criterion for multivariate density estimation
resolves10.1007/BF01972448
Automatic smoothing parameter selection: A survey
resolves10.1016/0167-9473(89)90003-0
Comments on a data based bandwidth selector
resolves10.1016/0047-259X(86)90021-7
Random approximations to some measures of accuracy in nonparametric curve estimation
resolves10.1080/01621459.1990.10475307
Comparison of Data-Driven Bandwidth Selectors
resolves10.1214/aoms/1177728190
Remarks on Some Nonparametric Estimates of a Density Function
resolves10.1214/aoms/1177693050
Curve Estimates
resolves10.1080/01621459.1987.10478550
Biased and Unbiased Cross-Validation in Density Estimation
resolves10.2307/3315047
Invalidity of average squared error criterion in density estimation
resolves10.1214/aos/1176345206
Optimal Rates of Convergence for Nonparametric Estimators
resolves10.1214/aos/1176345969
Optimal Global Rates of Convergence for Nonparametric Regression
resolves10.1214/aoms/1177704159
On the Estimation of the Probability Density, I
resolves10.1080/00949657208810017
Nonparametric probability density estimation
The 10 references without a DOI — listed, not checked
no DOI — not checkedAnderson, G.D.: A comparison of methods for estimating a probability density function. Phd Dissertation, University of Washington, 1969
no DOI — not checkedBickel, P., Ritov, Y.: Estimating integrated squared density derivatives: sharp best order of convergence estimates. Sankhya50-A, 381–393 (1988)
no DOI — not checkedBurkholder, D.L.: Distribution function inequalities for martingales. Ann. Probab.1, 19–42 (1973)
no DOI — not checkedDevroye, L., Györfi, L.: Nonparametric density estimation: the L1 View. New York; Wiley 1984
no DOI — not checkedDonoho, D., Liu, R.: Geometrizing rates of convergence (unpublished manuscript 1987)
no DOI — not checkedEs, B. van.: Likelihood cross-validation bandwidth selection for nonparametric kernel density estimators. J. Nonparamet. Stat. (in press 1991)
no DOI — not checkedHall, P., Marron, J.S.: On the amount of noise inherent in bandwidth selection for a kernel density estimator. Ann. Stat.15, 163–181 (1987b)
no DOI — not checkedHärdle, W., Hall, P., Marron, J.S.: How far are automatically chosen regression smoothers from their optimum?. J. Am. Stat. Assoc.83, 86–95 (1988)
no DOI — not checkedRudemo, M.: Empirical choice of histograms and kernel density estimators. Scand. J. Stat.9, 65–78 (1982)
no DOI — not checkedSilverman, B.W.: Density estimation for statistics and data analysis. New York: Chapman and Hall 1986
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