From: Snapshot-Content-Location: https://web.archive.org/web/20081011095034/http://interstat.statjournals.net/YEAR/1999/abstracts/9909001.php Subject: September 1999 #1: Likelihood Computations for Extended Poisson Process Models by Heather M. Podlich, Malcolm J. Faddy and Gordon K. Smyth. Date: Mon, 21 Sep 2026 01:04:22 GMT MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----MultipartBoundary--WSvxBeY0YN4sC799fM7gJXBi0k3VTpcjjD1BeehLGV----" ------MultipartBoundary--WSvxBeY0YN4sC799fM7gJXBi0k3VTpcjjD1BeehLGV---- Content-Type: text/html Content-ID: Content-Transfer-Encoding: quoted-printable Content-Location: https://web.archive.org/web/20081011095034/http://interstat.statjournals.net/YEAR/1999/abstracts/9909001.php September 1999 #1: Likelihood Computations for Extended Poisson Process Mod= els by Heather M. Podlich, Malcolm J. Faddy and Gordon K. Smyth.= Sep OCT Apr = = 11 = 2007 2008 2018
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Likelihood Computations for Extended Poisson Process Models

by Heather M. Podlich, Malcolm J. Faddy and Gordon K. Smyth .

Abstract: Some computational aspects of maximum likelihood estimation for extended Poisson process models are discussed, with computation of log-likelihood derivatives being of particular interest. A method is proposed for computation of these derivatives that involves extending the matrix of transition rates describing the underlying stochastic process. This scheme is designed for parametric forms of the transition rates that can include covariate dependence.=20

Key Words: =20 extended Poisson process models, matrix of transition rates, expokit, maximum likelihood estimation

Authors:
Heather M. Podlich , h.podlich@mailbox.gu.edu.au
Malcolm J. Faddy, m.faddy@math.canterbury.ac.nz
Gordon K. Smyth, gks@maths.uq.edu.au

Editor: John P. Hinde , J.P.Hinde@exeter.ac.uk

READING THE ARTICLE: You can read the article in=20 portable document (.pdf) forma= t (185028 bytes.)

NOTE: The content of this article is the= intellectual property of the authors, who retains all rights to future pub= lication.

This page has been accessed 348 times since July 24, 200= 6.

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solid; } #wm-ipp .n .d .b span.ta { border-width: 8px 14px 8px 0px; } #wm-ipp .n .d .f span.ta { border-width: 8px 0px 8px 14px; } #wm-ipp .n .d a span.ta { border-color: transparent rgb(51, 51, 255); } #wm-ipp .n .d a span.ta:hover { border-color: transparent rgb(119, 119, 255= ); } #wm-ipp.hi .n td.c { color: rgb(236, 0, 140); } #wm-ipp .n td.f { overflow: visible; white-space: nowrap; color: rgb(153, 1= 53, 170); vertical-align: middle; padding: 0px 0px 0px 6px !important; text= -align: left !important; } #wm-ipp .n tr.m td { text-transform: uppercase; white-space: nowrap; paddin= g: 2px 0px; } #wm-ipp .c .s { vertical-align: bottom; padding: 0px 5px 0px 0px !important= ; } #wm-ipp #wm-nav-captures { white-space: nowrap; } #wm-ipp .c .s a.t { color: rgb(51, 51, 255); font-weight: bold; line-height= : 1.8; } #wm-ipp .c .s div.r { color: rgb(102, 102, 102); font-size: 9px; white-spac= e: nowrap; } #wm-ipp .c .k { padding-bottom: 1px; } #wm-ipp .c .s { padding: 0px 5px 2px 0px !important; } #wm-ipp td#displayMonthEl { padding: 2px 0px !important; } #wm-ipp td#displayYearEl { padding: 0px 0px 2px !important; } div#wm-ipp-sparkline { position: relative; white-space: nowrap; background-= color: rgb(255, 255, 255); cursor: pointer; line-height: 0.9; } #sparklineImgId, #wm-sparkline-canvas { position: relative; z-index: 9012; = max-width: none; } #wm-ipp-sparkline div.yt { position: absolute; top: 0px; z-index: 9010 !imp= ortant; background-color: rgb(255, 255, 0) !important; } #wm-ipp-sparkline div.mt { position: absolute; top: 0px; z-index: 9013 !imp= ortant; background-color: rgb(236, 0, 140) !important; } #wm-ipp .r { margin-left: 4px; } #wm-ipp .r a { color: rgb(51, 51, 255); border-width: medium; border-style:= none; border-color: currentcolor; border-image: none; position: relative; = background-color: transparent; text-decoration: none; background-repeat: no= -repeat !important; background-position: 100% 100% !important; } #wm-ipp #wm-capinfo { border-radius: 0px 0px 4px 4px; } #wm-ipp #wm-capinfo .c-logo { display: block; float: left; margin-right: 3p= x; width: 90px; min-height: 90px; max-height: 290px; border-radius: 45px; o= verflow: hidden; background-position: 50% center; background-size: auto 90p= x; box-shadow: rgb(208, 208, 208) 0px 0px 2px 2px inset; } #wm-ipp #wm-capinfo .c-logo span { display: inline-block; } #wm-ipp #wm-capinfo .c-logo img { height: 90px; position: relative; left: -= 50%; } #wm-ipp #wm-capinfo .wm-title { font-size: 130%; } #wm-ipp #wm-capinfo a.wm-selector { display: inline-block; color: rgb(170, = 170, 170); padding: 2px 8px; text-decoration: none !important; } #wm-ipp #wm-capinfo a.wm-selector.selected { background-color: rgb(102, 102= , 102); } #wm-ipp #wm-capinfo a.wm-selector:hover { color: rgb(255, 255, 255); } #wm-ipp #wm-capinfo.notice-only #wm-capinfo-collected-by, #wm-ipp #wm-capin= fo.notice-only #wm-capinfo-timestamps { display: none; } #wm-ipp #wm-capinfo #wm-capinfo-notice .wm-capinfo-content { background-col= or: rgb(255, 255, 0); padding: 5px; font-size: 14px; text-align: center; } #wm-ipp #wm-capinfo #wm-capinfo-notice .wm-capinfo-content * { font-size: 1= 4px; text-align: center; } #wm-ipp #wm-expand { right: 1px; bottom: -1px; color: rgb(255, 255, 255); b= ackground-color: rgb(102, 102, 102) !important; padding: 0px 5px 0px 3px !i= mportant; border-radius: 3px 3px 0px 0px !important; } #wm-ipp #wm-expand span { color: rgb(255, 255, 255); } #wm-ipp #wm-expand #wm-expand-icon { display: inline-block; transition: tra= nsform 0.5s; transform-origin: 50% 45%; } #wm-ipp #wm-expand.wm-open #wm-expand-icon { transform: rotate(180deg); } #wm-ipp #wmtb { text-align: right; } #wm-ipp #wmtb #wmtbURL { width: calc(100% - 45px); } #wm-ipp #wm-graph-anchor { border-right: 1px solid rgb(204, 204, 204); } html.wb-highlight { box-shadow: rgb(165, 14, 58) 0px 0px 0px 3px inset !imp= ortant; } .wb-highlight { outline: rgb(165, 14, 58) solid 3px !important; } #wm-ipp-print { display: none !important; } @media print { #wm-ipp-base { display: none !important; } #wm-ipp-print { white-space: nowrap; overflow: hidden; text-overflow: ell= ipsis; display: block !important; } } @media (max-width: 414px) { #wm-ipp .xxs { display: none !important; } } @media (min-width: 1055px) { #wm-ipp #wm-graph-anchor { display: block !important; } } @media (max-width: 1054px) { #wm-ipp #wm-graph-anchor { display: none !important; } } @media (max-width: 1163px) { #wm-logo { display: none !important; } } #wm-btns { white-space: nowrap; margin-top: -2px; } #wm-btns #wm-save-snapshot-open { margin-right: 7px; top: -6px; } #wm-btns #wm-sign-in { box-sizing: content-box; display: none; margin-right= : 7px; top: -8px; border: 2px solid rgb(0, 0, 0); border-radius: 14px; padd= ing-right: 2px; padding-bottom: 2px; width: 11px; height: 11px; } #wm-btns #wm-sign-in > .iconochive-person { font-size: 12.5px; } #wm-save-snapshot-open > .iconochive-web { color: rgb(0, 0, 0); font-size: = 160%; } #wm-ipp #wm-share { display: flex; align-items: flex-end; justify-content: = space-between; } #wm-share > #wm-screenshot { display: inline-block; margin-right: 3px; visi= bility: hidden; } #wm-screenshot > .iconochive-image { color: rgb(0, 0, 0); font-size: 160%; = } #wm-share > #wm-video { display: inline-block; margin-right: 3px; visibilit= y: hidden; } #wm-video > .iconochive-movies { color: rgb(0, 0, 0); display: inline-block= ; font-size: 150%; margin-bottom: 2px; } #wm-btns #wm-save-snapshot-in-progress { display: none; font-size: 160%; op= acity: 0.5; position: relative; margin-right: 7px; top: -5px; } #wm-btns #wm-save-snapshot-success { display: none; color: green; position:= relative; top: -7px; } #wm-btns #wm-save-snapshot-fail { display: none; color: red; position: rela= tive; top: -7px; } .wm-icon-screen-shot { display: inline-block; background: url("../images/we= b-screenshot.svg") 0% 0% / contain no-repeat !important; width: 22px !impor= tant; height: 19px !important; } #donato { height: 0px; margin: 0px; padding: 0px; border-bottom: 1px solid = rgb(153, 153, 153) !important; } body.wm-modal { height: auto !important; overflow: hidden !important; } #donato #donato-base { width: 100%; height: 100%; margin: 0px; padding: 0px= ; position: absolute; z-index: 2147483639; } body.wm-modal #donato #donato-base { position: fixed; inset: 0px; z-index: = 2147483640; } .wb-autocomplete-suggestions { font-family: "Lucida Grande", Helvetica, Ari= al, sans-serif; font-size: 12px; text-align: left; cursor: default; border-= width: 0px 1px 1px; border-style: none solid solid; border-color: currentco= lor rgb(204, 204, 204) rgb(204, 204, 204); border-image: none; background: = rgb(255, 255, 255); box-shadow: rgba(0, 0, 0, 0.1) -1px 1px 3px; position: = absolute; display: none; z-index: 2147483647; max-height: 254px; overflow: = hidden auto; box-sizing: border-box; } .wb-autocomplete-suggestion { position: relative; padding: 0px 0.6em; line-= height: 23px; white-space: nowrap; overflow: hidden; text-overflow: ellipsi= s; font-size: 1.02em; color: rgb(51, 51, 51); } .wb-autocomplete-suggestion b { font-weight: bold; } .wb-autocomplete-suggestion.selected { background: rgb(240, 240, 240); } ------MultipartBoundary--WSvxBeY0YN4sC799fM7gJXBi0k3VTpcjjD1BeehLGV---- Content-Type: text/html Content-ID: Content-Transfer-Encoding: quoted-printable Content-Location: https://archive.org/includes/donate.php?as_page=1&platform=wb&referer=https%3A//web.archive.org/web/20081011095034/http%3A//interstat.statjournals.net/YEAR/1999/abstracts/9909001.php ------MultipartBoundary--WSvxBeY0YN4sC799fM7gJXBi0k3VTpcjjD1BeehLGV------