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298                        Introduction to Statistical Pattern Recognition



                     5.   K.  Fukunaga  and  L.  D.  Hostetler,  Optimization  of  k-nearest  neighbor
                          density  estimates,  Trans.  IEEE  Inform.  Theory,  IT- 19,  pp.  320-326,
                          1973.
                     6.   J.  VanNess, On  the  dominance  of  non-parametric  Bayes  rule  discrim-
                          inant  algorithms in  high  dimensions, Pattern Recognition,  12, pp.  355-
                          368,  1980.
                     7.   P. Hall, Large sample optimality of  least squares cross-validation in den-
                          sity estimation, Ann. Star., 1 I, pp.  1156-1 174, 1983.
                     8.   Y.  S. Chow, S. German, and L.  D. Wu,  Consistent cross-validated den-
                          sity estimation, Ann. Star., 11, pp. 25-38, 1983.
                     9.   T.  J.  Wagner,  Nonparametric estimates  of  probability  densities,  Trans.
                          IEEE Inform. Theory, IT-21, pp. 438-440,  1975.
                     10.  B.  W.  Silverman, Choosing  the  window  width  when  estimating  a  den-
                          sity, Biornetrika, 65, pp.  1-11,  1978.
                     11.  D.  J.  Hand,  “Kernel  Discriminant  Analysis,”  Research  Studies  Press,
                          Chichester, UK,  1982.
                     12.  E. Fix and L. J. Hodges, Discriminatory analysis, nonparametric discrim-
                          ination, consistency properties, Report No. 4, Project 2 1-49-004, School
                          of Aviation Medicine, Randolph Field, Texas,  195 1.
                      13.  E. Fix and L. J. Hodges, Nonparametric discrimination small sample per-
                          formance, Report No.  11, Project  21-49-004, School of  Aviation  Medi-
                          cine, Randolph Field, Texas, 1952.
                      14.  D. 0. Loftsgaarden and C. P. Quesenberry, A nonparametric estimate of
                          a  multivariate  density  function.  Ann. Math.  Stat.,  36,  pp.  1049-1051,
                          1965.
                      15.  D. S.  Moore and J. W.  Yackel, Consistency properties of  nearest neigh-
                          bor density estimates, Ann. Stat., 5, pp.  143-154, 1977.
                      16.  L. Devroye and T. J.  Wagner, The strong uniform consistency of  nearest
                          neighbor density estimates, Ann. Star., 5, pp. 536-540,  1977.
                      17.  D.  A.  S.  Fraser,  “Nonparametric  Methods  in  Statistics,”  John  Wiley,
                          New  York,  1957.
                      18.  K. Fukunaga and T. E. Flick, Classification error for a very large number
                          of  classes, Trans. IEEE Pattern Anal. and Machine Intell., PAMI-6, pp.
                          779-788, 1984.
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