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

@article{Giguelay2018TestingKO, 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.}, year={2018}, volume={127}, pages={96-115} }

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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