A bootstrap test on the number of modes of a density

  • Enno Mammen
Part of the Lecture Notes in Statistics book series (LNS, volume 77)

Abstract

In this chapter we consider another application of bootstrap in nonparametric density estimation. We present results about the (random) number of modes of a kernel density estimate. These results are applied in the asymptotic treatment of bootstrap tests on the number of modes of a density. The material of this chapter is also contained in Mammen, Marron, and Fisher (1992).

Keywords

Convolution 

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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Enno Mammen
    • 1
  1. 1.Institut für Angewandte MathematikUniversität HeidelbergHeidelbergGermany

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