Testing k-monotonicity of a discrete distribution. Application to the estimation of the number of classes in a population

  title={Testing k-monotonicity of a discrete distribution. Application to the estimation of the number of classes in a population},
  author={J. Giguelay and S. Huet},
  journal={Comput. Stat. Data Anal.},
  • J. Giguelay, S. Huet
  • Published 29 August 2017
  • Mathematics, Computer Science
  • Comput. Stat. Data Anal.
We develop here several goodness-of-fit tests for testing the k-monotonicity of a discrete density, based on the empirical distribution of the observations. Our tests are non-parametric, easy to implement and are proved to be asymptotically of the desired level and consistent. We propose an estimator of the degree of k-monotonicity of the distribution based on the non-parametric goodness-of-fit tests. We apply our work to the estimation of the total number of classes in a population. A large… Expand
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