A Consistent Estimator of Structural Distribution

  • Marijus Radavičius Institute of Applied Mathematics, Vilnius University

Abstract

We consider sparse count data models with the sparsity rate τ = N/n = O(1) where N = N (n) is the number of observations and n → ∞ is the number of cells. In this case the plug-in estimator of the structural distribution of expected frequencies is inconsistent. If τ = O(n −α ) for some α > 0, the nonparametric maximum likelihood estimator, in general, is also inconsistent. Assuming that some auxiliary information on the expected frequencies is available, we construct a consistent estimator of the structural distribution.

a
Published
2020-04-13
How to Cite
Radavičius, M. (2020). A Consistent Estimator of Structural Distribution. Austrian Journal of Statistics, 49(4), 99-105. https://doi.org/10.17713/ajs.v49i4.1135
Section
Special Issue CDAM conference