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On Estimation of a Probability Density Function and Mode

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Parzen, Emanuel·1962·The Annals of Mathematical Statistics

Abstract

Given a sequence of independent identically distributed random variables with a common probability density function, the problem of the estimation of a probability density function and of determining the mode of a probability function are discussed. Only estimates which are consistent and asymptotically normal are constructed. (Author)

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Metadata

Authors
Parzen, E.
Venue
The Annals of Mathematical Statistics
Published
1962-09
Volume
33
Issue
3
Pages
1065-1076
ISSN
0003-4851 (ISSN-L)
OpenAlex
W2118020555
Cited by
10,585
References
0
FWCI
10.47
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: On Estimation of a Probability Density Function and Mode. https://app.cochat.ai/papers/10.1214/aoms/1177704472
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Parzen, E. (1962). On Estimation of a Probability Density Function and Mode. The Annals of Mathematical Statistics. https://doi.org/10.1214/aoms/1177704472

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.