A Central Limit Theorem for Empirical Quantiles in the Markov Chain Setting. Glynn, P. W. & Henderson, S. G. In Festschrift for Pierre L'Ecuyer. Springer, 2022. To appear
Paper abstract bibtex 8 downloads We provide a new proof of a central limit theorem for empirical quantiles in the positive-recurrent Markov process setting under conditions that are essentially tight. We also establish the validity of the method of nonoverlapping batch means with a fixed number of batches for interval estimation of the quantile. The conditions of these results are likely to be difficult to verify in practice, and so we also provide more easily verified sufficient conditions.
@incollection{glyhen22,
abstract = {We provide a new proof of a central limit theorem for empirical
quantiles in the positive-recurrent Markov process setting under
conditions that are essentially tight. We also
establish the validity of the method of nonoverlapping batch means
with a fixed number of batches for interval estimation of the
quantile. The conditions of these results are likely to be difficult
to verify in practice, and so we also provide more easily verified
sufficient conditions.},
author = {Peter W. Glynn and Shane G. Henderson},
booktitle = {Festschrift for Pierre L'Ecuyer},
date-added = {2022-04-24 22:00:03 -0400},
date-modified = {2022-04-24 22:05:14 -0400},
note = {To appear},
publisher = {Springer},
title = {A Central Limit Theorem for Empirical Quantiles in the Markov Chain Setting},
url_paper = {pubs/glyhen22.pdf},
year = {2022}}
Downloads: 8
{"_id":"gc9mZ8Z9YPadyKuMJ","bibbaseid":"glynn-henderson-acentrallimittheoremforempiricalquantilesinthemarkovchainsetting-2022","author_short":["Glynn, P. W.","Henderson, S. G."],"bibdata":{"bibtype":"incollection","type":"incollection","abstract":"We provide a new proof of a central limit theorem for empirical quantiles in the positive-recurrent Markov process setting under conditions that are essentially tight. We also establish the validity of the method of nonoverlapping batch means with a fixed number of batches for interval estimation of the quantile. The conditions of these results are likely to be difficult to verify in practice, and so we also provide more easily verified sufficient conditions.","author":[{"firstnames":["Peter","W."],"propositions":[],"lastnames":["Glynn"],"suffixes":[]},{"firstnames":["Shane","G."],"propositions":[],"lastnames":["Henderson"],"suffixes":[]}],"booktitle":"Festschrift for Pierre L'Ecuyer","date-added":"2022-04-24 22:00:03 -0400","date-modified":"2022-04-24 22:05:14 -0400","note":"To appear","publisher":"Springer","title":"A Central Limit Theorem for Empirical Quantiles in the Markov Chain Setting","url_paper":"pubs/glyhen22.pdf","year":"2022","bibtex":"@incollection{glyhen22,\n\tabstract = {We provide a new proof of a central limit theorem for empirical\nquantiles in the positive-recurrent Markov process setting under\nconditions that are essentially tight. We also\nestablish the validity of the method of nonoverlapping batch means\nwith a fixed number of batches for interval estimation of the\nquantile. The conditions of these results are likely to be difficult\nto verify in practice, and so we also provide more easily verified\nsufficient conditions.},\n\tauthor = {Peter W. Glynn and Shane G. Henderson},\n\tbooktitle = {Festschrift for Pierre L'Ecuyer},\n\tdate-added = {2022-04-24 22:00:03 -0400},\n\tdate-modified = {2022-04-24 22:05:14 -0400},\n\tnote = {To appear},\n\tpublisher = {Springer},\n\ttitle = {A Central Limit Theorem for Empirical Quantiles in the Markov Chain Setting},\n\turl_paper = {pubs/glyhen22.pdf},\n\tyear = {2022}}\n\n","author_short":["Glynn, P. W.","Henderson, S. G."],"key":"glyhen22","id":"glyhen22","bibbaseid":"glynn-henderson-acentrallimittheoremforempiricalquantilesinthemarkovchainsetting-2022","role":"author","urls":{" paper":"https://people.orie.cornell.edu/shane/pubs/glyhen22.pdf"},"metadata":{"authorlinks":{}},"downloads":8},"bibtype":"incollection","biburl":"https://people.orie.cornell.edu/shane/ShanePubs.bib","dataSources":["ZCuKDjctePZJeeaBw","SEqonpKnx4miWre2P"],"keywords":[],"search_terms":["central","limit","theorem","empirical","quantiles","markov","chain","setting","glynn","henderson"],"title":"A Central Limit Theorem for Empirical Quantiles in the Markov Chain Setting","year":2022,"downloads":8}