On the modal resolution of kernel density estimators

Jeffrey D. Hart

Statistics & Probability Letters, 1984, vol. 2, issue 6, 363-369

Abstract: The ability of a kernel density estimator to resolve modes of the underlying density is investigated. For various bimodal densities and three different kernels, the smallest sample size required for the expectation of an optimally smoothed kernel estimator to be bimodal is determined. The optimality criterion employed is equivalent to asymptotic mean integrated squared error for sufficiently smooth densities.

Keywords: kernel; density; estimator; mean; integrated; squared; error; multimodality; modal; resolution (search for similar items in EconPapers)
Date: 1984
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