Estimating the Structural Distribution Function of Cell Probabilities

We consider estimation of the structural distribution function of the cell probabilities of a multinomial sample in situations where the number of cells is large. We review the performance of the natural estimator, an estimator based on grouping of the cells, and a kernel type estimator. Inconsisten...

Full description

Bibliographic Details
Main Authors:	Bert van Es, Chris A.J. Klaassen, Robert M. Mnatsakanov
Format:	Article
Language:	English
Published:	Austrian Statistical Society 2016-04-01
Series:	Austrian Journal of Statistics
Online Access:	http://www.ajs.or.at/index.php/ajs/article/view/451

id	doaj-b44c7798c7f049e0a24e1d68e9d543cc
record_format	Article
spelling	doaj-b44c7798c7f049e0a24e1d68e9d543cc2021-04-22T12:33:13ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2016-04-01321&210.17713/ajs.v32i1&2.451Estimating the Structural Distribution Function of Cell ProbabilitiesBert van Es0Chris A.J. Klaassen1Robert M. Mnatsakanov2University of AmsterdamUniversity of AmsterdamWest Virginia University, Morgantown A. Razmadze Mathematical Institute, TbilisiWe consider estimation of the structural distribution function of the cell probabilities of a multinomial sample in situations where the number of cells is large. We review the performance of the natural estimator, an estimator based on grouping of the cells, and a kernel type estimator. Inconsistency of the natural estimator and weak consistency of the other two estimators is derived by Poissonization and other, new, technical devices. http://www.ajs.or.at/index.php/ajs/article/view/451
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bert van Es Chris A.J. Klaassen Robert M. Mnatsakanov
spellingShingle	Bert van Es Chris A.J. Klaassen Robert M. Mnatsakanov Estimating the Structural Distribution Function of Cell Probabilities Austrian Journal of Statistics
author_facet	Bert van Es Chris A.J. Klaassen Robert M. Mnatsakanov
author_sort	Bert van Es
title	Estimating the Structural Distribution Function of Cell Probabilities
title_short	Estimating the Structural Distribution Function of Cell Probabilities
title_full	Estimating the Structural Distribution Function of Cell Probabilities
title_fullStr	Estimating the Structural Distribution Function of Cell Probabilities
title_full_unstemmed	Estimating the Structural Distribution Function of Cell Probabilities
title_sort	estimating the structural distribution function of cell probabilities
publisher	Austrian Statistical Society
series	Austrian Journal of Statistics
issn	1026-597X
publishDate	2016-04-01
description	We consider estimation of the structural distribution function of the cell probabilities of a multinomial sample in situations where the number of cells is large. We review the performance of the natural estimator, an estimator based on grouping of the cells, and a kernel type estimator. Inconsistency of the natural estimator and weak consistency of the other two estimators is derived by Poissonization and other, new, technical devices.
url	http://www.ajs.or.at/index.php/ajs/article/view/451
work_keys_str_mv	AT bertvanes estimatingthestructuraldistributionfunctionofcellprobabilities AT chrisajklaassen estimatingthestructuraldistributionfunctionofcellprobabilities AT robertmmnatsakanov estimatingthestructuraldistributionfunctionofcellprobabilities
_version_	1721514489789022208

Estimating the Structural Distribution Function of Cell Probabilities

Similar Items