Poisson Count Time Series ...

This paper reviews and compares popular methods, some old and some very recent, that produce time series having Poisson marginal distributions. The paper begins by narrating ways where time series with Poisson marginal distributions can be produced. Modeling nonstationary series with covariates moti...

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Bibliographic Details
Main Authors: Kong, Jiajie, Lund, Robert
Format: Article in Journal/Newspaper
Language:unknown
Published: arXiv 2023
Subjects:
Online Access:https://dx.doi.org/10.48550/arxiv.2310.10798
https://arxiv.org/abs/2310.10798
id ftdatacite:10.48550/arxiv.2310.10798
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spelling ftdatacite:10.48550/arxiv.2310.10798 2023-12-03T10:26:46+01:00 Poisson Count Time Series ... Kong, Jiajie Lund, Robert 2023 https://dx.doi.org/10.48550/arxiv.2310.10798 https://arxiv.org/abs/2310.10798 unknown arXiv Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 Methodology stat.ME FOS Computer and information sciences CreativeWork article Article Preprint 2023 ftdatacite https://doi.org/10.48550/arxiv.2310.10798 2023-11-03T10:55:20Z This paper reviews and compares popular methods, some old and some very recent, that produce time series having Poisson marginal distributions. The paper begins by narrating ways where time series with Poisson marginal distributions can be produced. Modeling nonstationary series with covariates motivates consideration of methods where the Poisson parameter depends on time. Here, estimation methods are developed for some of the more flexible methods. The results are used in the analysis of 1) a count sequence of tropical cyclones occurring in the North Atlantic Basin since 1970, and 2) the number of no-hitter games pitched in major league baseball since 1893. Tests for whether the Poisson marginal distribution is appropriate are included. ... Article in Journal/Newspaper North Atlantic DataCite Metadata Store (German National Library of Science and Technology)
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Methodology stat.ME
FOS Computer and information sciences
spellingShingle Methodology stat.ME
FOS Computer and information sciences
Kong, Jiajie
Lund, Robert
Poisson Count Time Series ...
topic_facet Methodology stat.ME
FOS Computer and information sciences
description This paper reviews and compares popular methods, some old and some very recent, that produce time series having Poisson marginal distributions. The paper begins by narrating ways where time series with Poisson marginal distributions can be produced. Modeling nonstationary series with covariates motivates consideration of methods where the Poisson parameter depends on time. Here, estimation methods are developed for some of the more flexible methods. The results are used in the analysis of 1) a count sequence of tropical cyclones occurring in the North Atlantic Basin since 1970, and 2) the number of no-hitter games pitched in major league baseball since 1893. Tests for whether the Poisson marginal distribution is appropriate are included. ...
format Article in Journal/Newspaper
author Kong, Jiajie
Lund, Robert
author_facet Kong, Jiajie
Lund, Robert
author_sort Kong, Jiajie
title Poisson Count Time Series ...
title_short Poisson Count Time Series ...
title_full Poisson Count Time Series ...
title_fullStr Poisson Count Time Series ...
title_full_unstemmed Poisson Count Time Series ...
title_sort poisson count time series ...
publisher arXiv
publishDate 2023
url https://dx.doi.org/10.48550/arxiv.2310.10798
https://arxiv.org/abs/2310.10798
genre North Atlantic
genre_facet North Atlantic
op_rights Creative Commons Attribution 4.0 International
https://creativecommons.org/licenses/by/4.0/legalcode
cc-by-4.0
op_doi https://doi.org/10.48550/arxiv.2310.10798
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