Table for the asymptotic distribution of univariate mode estimators
- 1 October 1989
- journal article
- research article
- Published by Taylor & Francis in Journal of Statistical Computation and Simulation
- Vol. 33 (1) , 37-51
- https://doi.org/10.1080/00949658908811185
Abstract
Previous theoretical studies have connected the asymptotic distribution of various univariate mode estimators to the distribution of the location of the minimum/maximum of the two—sided Wiener—Levy process with square drift. In this paper, an empirical distribution for the latter is obtained through simulation. The tabulated probabilities of this distribution are useful in making inferences about the mode. Illustrative examples of confidence intervals for the mode are provided using real dataKeywords
This publication has 8 references indexed in Scilit:
- DataPublished by Springer Nature ,1985
- ELEMENTS OF STOCHASTIC PROCESSESPublished by Elsevier ,1975
- Nonparametric Probability Density Estimation: I. A Summary of Available MethodsTechnometrics, 1972
- A Note on the Estimation of the ModeThe Annals of Mathematical Statistics, 1971
- Boundary-crossing probabilities for the Brownian motion and Poisson processes and techniques for computing the power of the Kolmogorov-Smirnov testJournal of Applied Probability, 1971
- On Estimation of the ModeThe Annals of Mathematical Statistics, 1967
- Estimation of the modeAnnals of the Institute of Statistical Mathematics, 1964
- Density Estimation for Statistics and Data AnalysisPublished by Springer Nature ,1400