What is, and what is not, a Markov chain?

This is a purely expository paper, written in response to the increasing use of Markovian models to represent hydrological phenomena. After outlining the more familiar properties of simple (1-step) Markov chains the paper describes non-simple ( k-step) chains and bivariate chains, and discusses some...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of hydrology (Amsterdam) 1974, Vol.22 (1), p.1-28
1. Verfasser: Lloyd, E.H.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 28
container_issue 1
container_start_page 1
container_title Journal of hydrology (Amsterdam)
container_volume 22
creator Lloyd, E.H.
description This is a purely expository paper, written in response to the increasing use of Markovian models to represent hydrological phenomena. After outlining the more familiar properties of simple (1-step) Markov chains the paper describes non-simple ( k-step) chains and bivariate chains, and discusses some fallacies associated with the transition probabilities of non-Markov chains. Some attention is devoted to the problems of selecting a model for use in practical situations.
doi_str_mv 10.1016/0022-1694(74)90092-4
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_18497264</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>0022169474900924</els_id><sourcerecordid>18497264</sourcerecordid><originalsourceid>FETCH-LOGICAL-a273t-401a76fa0b0b0e8a2ea8291f5faf7894a492346ff92bedb6c26f64daf421eb883</originalsourceid><addsrcrecordid>eNp9UE1LAzEUDKJgrf4DD3sSC64m2Wc-LkopfkHFi-IxvM0mNNru1mRb8d-764pH3zs85jEzMEPIMaPnjDJxQSnnORMaTiVMNKWa57BDRkxJnXNJ5S4Z_VH2yUFKb7SbooARmbwusM1COsuwrrLPAWR103aP7BHje7PN7AJDfX1I9jwukzv6vWPycnvzPLvP5093D7PpPEcuizYHylAKj7Ts1inkDhXXzF969FJpQNC8AOG95qWrSmG58AIq9MCZK5UqxuRk8F3H5mPjUmtWIVm3XGLtmk0yTIGWXEBHhIFoY5NSdN6sY1hh_DKMmr4X04c2fWgjwfz0YnrZ1SBzXYhtcNEkG1xtXRWis62pmvC_wTcOCmdA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>18497264</pqid></control><display><type>article</type><title>What is, and what is not, a Markov chain?</title><source>Elsevier ScienceDirect Journals</source><creator>Lloyd, E.H.</creator><creatorcontrib>Lloyd, E.H.</creatorcontrib><description>This is a purely expository paper, written in response to the increasing use of Markovian models to represent hydrological phenomena. After outlining the more familiar properties of simple (1-step) Markov chains the paper describes non-simple ( k-step) chains and bivariate chains, and discusses some fallacies associated with the transition probabilities of non-Markov chains. Some attention is devoted to the problems of selecting a model for use in practical situations.</description><identifier>ISSN: 0022-1694</identifier><identifier>EISSN: 1879-2707</identifier><identifier>DOI: 10.1016/0022-1694(74)90092-4</identifier><language>eng</language><publisher>Elsevier B.V</publisher><ispartof>Journal of hydrology (Amsterdam), 1974, Vol.22 (1), p.1-28</ispartof><rights>1974</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a273t-401a76fa0b0b0e8a2ea8291f5faf7894a492346ff92bedb6c26f64daf421eb883</citedby><cites>FETCH-LOGICAL-a273t-401a76fa0b0b0e8a2ea8291f5faf7894a492346ff92bedb6c26f64daf421eb883</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/0022169474900924$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,4010,27900,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Lloyd, E.H.</creatorcontrib><title>What is, and what is not, a Markov chain?</title><title>Journal of hydrology (Amsterdam)</title><description>This is a purely expository paper, written in response to the increasing use of Markovian models to represent hydrological phenomena. After outlining the more familiar properties of simple (1-step) Markov chains the paper describes non-simple ( k-step) chains and bivariate chains, and discusses some fallacies associated with the transition probabilities of non-Markov chains. Some attention is devoted to the problems of selecting a model for use in practical situations.</description><issn>0022-1694</issn><issn>1879-2707</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1974</creationdate><recordtype>article</recordtype><recordid>eNp9UE1LAzEUDKJgrf4DD3sSC64m2Wc-LkopfkHFi-IxvM0mNNru1mRb8d-764pH3zs85jEzMEPIMaPnjDJxQSnnORMaTiVMNKWa57BDRkxJnXNJ5S4Z_VH2yUFKb7SbooARmbwusM1COsuwrrLPAWR103aP7BHje7PN7AJDfX1I9jwukzv6vWPycnvzPLvP5093D7PpPEcuizYHylAKj7Ts1inkDhXXzF969FJpQNC8AOG95qWrSmG58AIq9MCZK5UqxuRk8F3H5mPjUmtWIVm3XGLtmk0yTIGWXEBHhIFoY5NSdN6sY1hh_DKMmr4X04c2fWgjwfz0YnrZ1SBzXYhtcNEkG1xtXRWis62pmvC_wTcOCmdA</recordid><startdate>1974</startdate><enddate>1974</enddate><creator>Lloyd, E.H.</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TG</scope><scope>KL.</scope></search><sort><creationdate>1974</creationdate><title>What is, and what is not, a Markov chain?</title><author>Lloyd, E.H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a273t-401a76fa0b0b0e8a2ea8291f5faf7894a492346ff92bedb6c26f64daf421eb883</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1974</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lloyd, E.H.</creatorcontrib><collection>CrossRef</collection><collection>Meteorological &amp; Geoastrophysical Abstracts</collection><collection>Meteorological &amp; Geoastrophysical Abstracts - Academic</collection><jtitle>Journal of hydrology (Amsterdam)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lloyd, E.H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>What is, and what is not, a Markov chain?</atitle><jtitle>Journal of hydrology (Amsterdam)</jtitle><date>1974</date><risdate>1974</risdate><volume>22</volume><issue>1</issue><spage>1</spage><epage>28</epage><pages>1-28</pages><issn>0022-1694</issn><eissn>1879-2707</eissn><abstract>This is a purely expository paper, written in response to the increasing use of Markovian models to represent hydrological phenomena. After outlining the more familiar properties of simple (1-step) Markov chains the paper describes non-simple ( k-step) chains and bivariate chains, and discusses some fallacies associated with the transition probabilities of non-Markov chains. Some attention is devoted to the problems of selecting a model for use in practical situations.</abstract><pub>Elsevier B.V</pub><doi>10.1016/0022-1694(74)90092-4</doi><tpages>28</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0022-1694
ispartof Journal of hydrology (Amsterdam), 1974, Vol.22 (1), p.1-28
issn 0022-1694
1879-2707
language eng
recordid cdi_proquest_miscellaneous_18497264
source Elsevier ScienceDirect Journals
title What is, and what is not, a Markov chain?
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-06T10%3A49%3A20IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=What%20is,%20and%20what%20is%20not,%20a%20Markov%20chain?&rft.jtitle=Journal%20of%20hydrology%20(Amsterdam)&rft.au=Lloyd,%20E.H.&rft.date=1974&rft.volume=22&rft.issue=1&rft.spage=1&rft.epage=28&rft.pages=1-28&rft.issn=0022-1694&rft.eissn=1879-2707&rft_id=info:doi/10.1016/0022-1694(74)90092-4&rft_dat=%3Cproquest_cross%3E18497264%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=18497264&rft_id=info:pmid/&rft_els_id=0022169474900924&rfr_iscdi=true