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

29 Aug 2017  ·  Giguelay Jade, Huet Sylvie ·

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 simulation study allows to assess the performances of our procedures. read more

PDF Abstract
No code implementations yet. Submit your code now




  Add Datasets introduced or used in this paper