@article{Radavičius_2020, title={A Consistent Estimator of Structural Distribution}, volume={49}, url={https://ajs.or.at/index.php/ajs/article/view/1135}, DOI={10.17713/ajs.v49i4.1135}, abstractNote={<p>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.</p>}, number={4}, journal={Austrian Journal of Statistics}, author={Radavičius, Marijus}, year={2020}, month={Apr.}, pages={99-105} }