- AbramowitzM., & StegunA.(1965). Handbook of Mathematical Functions. Dover, New York.
- BeirlantJ., DudewiczE. J., GyörfiL., & van der MeulenE. C. (1997). Nonparametric estimation of entropy: An overview. International Journal of Mathematical and Statistical Sciences, 6, 17–39.
- ChenB., McCoskeyS.K. & KaoC. (1999). Estimation and inference of a cointegrated regression in panel data: a Monte Carlo study. American Journal of Mathematical and Management Sciences, 19, 75–114.
- CressieN. (1976). On the logarithms of high-order spacings. Biometrika, 63, 345–355.
- DemchukE. & SinghH. (2001). Statistical thermodynamics of hindered rotation from computer simulations. Molecular Physics, 99, 627–636.
- DobrushinR. L. (1958). A simple method of empirical estimation of the entropy of a stationary sequence. Teor. Veroyatn. Ee Primen, 3, 462–464.
- DudewiczE.J. & van der MeulenE.C. (1981). Entropy-based tests of uniformity. Journal of the American Statistical Association, 76, 967–974.
- KarianZ.A. & DudewiczE.J. (1999). Modern Statistical, Systems, and GPSS Simulation, 2nd edition. CRC Press, Boca RatonFL.
- KarplusM. & KushikJ.N. (1981). Method for estimating the configurational entropy of macromolecules. Macromolecules, 14, 325–332.
- KozachenkoL. F. & LeonenkoN. N. (1987). Sample estimates of entropy of a random vector. Problems of Information Transmission, 23, 95–101.
- LandauL. D. & LifshitzE. M. (1980). Statistical Physics, Part 1, 3rd edition. Oxford: Pergamon.
- LevyR.M., KarplusM., KushikJ. & PerahiaD. (1984). Evaluation of the configurational entropy for proteins: Application to molecular dynamics simulations of an α-helix. Macromolecules, 17, 1370–1374.
- ScottD. (1992). Multivariate Density Estimation: Theory, Practice and Visualization. John Wiley and Sons Inc., New York.
- SinghH., HnizdoV. & DemchukE. (2002). Probabilistic modeling of two dependent circular variables. Biometrika, 89, 719–723.
- TsybakovA. B. & van der MeulenE. C. (1996). Root-n consistent estimators of entropy for densities with unbounded support. Scandinavian Journal of Statistics, 23, 75–83.
- VasicekO. (1976). On a test for normality based on sample entropy. Journal of Royal Statistical Society, Series B, 38, 54–59.
Nearest Neighbor Estimates of Entropy
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.