Asymptotic Theory for Multi-Dimensional Mode Estimator

  • Kim, Jean-Kyung (Department of Statistics, Inha University, Incheon 402-751)
  • Published : 1994.12.01


In this paper we extend Kim and Pollard's cube root asymptotics to other rates of convergence, to establish an asymptotic theory for a multidimensional mode estimator based on uniform kernel with shrinking bandwidths. We obtain rates of convergence depending on shrinking rates of bandwidth and non-normal limit distributions. Optimal decreasing rates of bandwidth are discussed.


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