Nonparametric Testing of the Existence of Modes

  title={Nonparametric Testing of the Existence of Modes},
  author={Michael C. Minnotte}
Given a set of data drawn from an unknown density, it is frequently desirable to estimate the number and location of modes of the density. A test is proposed for the weight of evidence of individual observed modes. The test statistic used is a measure of the size of the mode, the absolute integrated difference between the estimated density and the same density with the mode in question excised at the level of the higher of its two surrounding antimodes. Samples are simulated from a conservative… CONTINUE READING