Article PDF
Avoid common mistakes on your manuscript.
References
Bechenbach, E.F., Bellman, R.: Inequalities, 2nd ed. Berlin-Heidelberg-New York: Springer 1965
Cover, T.: A hierarchy of probability density function estimates. Frontiers of Pattern Recognition. New York: Academic Press 1972
Feller, W.: An Introduction to Probability Theory and Its Applications, Vol. 2, 2nd ed. New York: Wiley 1971
Fryer, M.J.: A review of some non-parametric methods of density estimation. J. Inst. Math. Appl.20, 335–354 (1977)
Knuth, D.: The Art of Computer Programming, Vol. 1, 2nd ed. Reading, Mass.: Addison-Wesley 1973
Rosenblatt, M.: Curve estimates. Ann. Statist.2, 1815–1852 (1971)
Scott, D.: On optimal and data-based histograms. Biometrika66, 605–610 (1979)
Tapia, R.A., Thompson, J.R.: Nonparametric Probability Density Estimation. Baltimore: Johns Hopkins 1978
Tarter, M.E., Kronmal, R.S.: An introduction to the implementation and theory of nonparametric density estimation Amer. Statist.30, 105–111 (1976)
Wegman, E.J.: Nonparametric probability density estimation I. A summary of available methods. Technometrics14, 533–546 (1972)
Wertz, W., Schneider, B.: Statistical density estimation: A bibliography. Internat. Statist Rev.47, 155–175 (1979)
Woodroofe, M.: On choosing a delta sequence. Ann. Math. Statist.41, 1665–1671 (1968)
Author information
Authors and Affiliations
Additional information
Research partially supported by NSF Grant MCS-80-02535
Research partially supported by NSF Grant MCS-80-24649
Rights and permissions
About this article
Cite this article
Freedman, D., Diaconis, P. On the histogram as a density estimator:L 2 theory. Z. Wahrscheinlichkeitstheorie verw Gebiete 57, 453–476 (1981). https://doi.org/10.1007/BF01025868
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01025868