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

Autor: Jade Giguelay, Sylvie Huet

Publikováno v: Computational Statistics & Data Analysis. 127:96-115

The development of nonparametric procedures for testing shape constraint (monotonicity, convexity, unimodality, etc.) has received increasing interest. Nevertheless, testing the k -monotonicity of a discrete density for k larger than 2 has received l

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::858fe543871b7508c80dda61ce1116d3
https://doi.org/10.1016/j.csda.2018.02.006

Estimation of a discrete probability under constraint of $k$-monotonicity

Autor: Jade Giguelay

Publikováno v: Electronic journal of statistics
Electronic journal of statistics, Shaker Heights, OH : Institute of Mathematical Statistics, 2017, 11, pp.1-49. ⟨10.1214/16-EJS1220⟩
Electron. J. Statist. 11, no. 1 (2017), 1-49
Electronic Journal of Statistics (11), 1-49. (2017)
Electronic Journal of Statistics
Electronic Journal of Statistics, Shaker Heights, OH : Institute of Mathematical Statistics, 2017, 11, pp.1-49. ⟨10.1214/16-EJS1220⟩

We propose two least-squares estimators of a discrete probability under the constraint of k-monotony and study their statistical properties. We give a characterization of these estimators based on the decomposition on a spline basis of k-monotone seq

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::257b943688397a15186a0100cd9e7bed
https://doi.org/10.1214/16-ejs1220