Mover‐stayer model with covariate effects on stayer's probability and mover's transitions

Frydman H.; Matuszyk A.; Li C.; Zhu W.

摘要

Abstract >A discrete time Markov chain assumes that the population is homogeneous, each individual in the population evolves according to the same transition matrix. In contrast, a discrete mover‐stayer (MS) model postulates a simple form of population heterogeneity; in each initial state, there is a proportion of individuals who never leave this state (stayers) and the complementary proportion of individuals who evolve according to a Markov chain (movers). The MS model was extended by specifying the stayer's probability to be a logistic function of an individual's covariates but leaving the same transition matrix for all movers. We further extend the MS model by allowing each mover to have her/his covariates dependent transition matrix. The model for a mover's transition matrix is related to the extant Markov chains mixture model with mixing on the speed of movement of Markov chains. The proposed model is estimated using the expectation‐maximization algorithm and illustrated with a large data set on car loans and the simulation. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract Type =“main”XML：Lang =“en”XML：ID =“ASMB2458-ABS-ABS-0001”> <标题类型=“main”>抽象</ title> >一个离散时间马尔可夫链假设人口是均匀的，群体中的每个个人根据相同的转换矩阵演变。相比之下，一个离散的移动者 - 住宿（MS）模型消除了一种简单的群体异质性形式;在每个初始状态下，都有一部分从不留下这种国家（SERTERS）的个体，以及根据马尔可夫链（搬运工）发展的个人的互补比例。通过指定住宿的概率是成为个人协变量的逻辑函数，而是延长MS模型，但为所有移动器留下相同的转换矩阵。我们通过允许每个动力使每个移动者具有她/他的协变量依赖的转换矩阵来进一步扩展MS模型。移动式转变矩阵的模型与扩大马尔可夫链混合模型与马尔可夫链的运动速度混合有关。使用期望最大化算法估计所提出的模型，并用汽车贷款和仿真设置了大数据。</ p> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-19344/'>《Applied stochastic models in business and industry》</a> <b style="margin: 0 2px;">|</b><span>2019年第5期</span><b style="margin: 0 2px;">|</b><span>共14页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Frydman H.&option=202" target="_blank" rel="nofollow">Frydman H.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Matuszyk A.&option=202" target="_blank" rel="nofollow">Matuszyk A.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Li C.&option=202" target="_blank" rel="nofollow">Li C.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Zhu W.&option=202" target="_blank" rel="nofollow">Zhu W.;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>New York University Stern School of BusinessDepartment of Technology Operations and Statistics;</p> <p>Warsaw School of EconomicsInstitute of Finance;</p> <p>Princeton UniversityOperations Research and Financial Engineering department;</p> <p>New York UniversityCourant Institute of Mathematical Sciences;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/1147.html" title="应用数学">应用数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=covariate effects&option=203" rel="nofollow">covariate effects;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=credit risk&option=203" rel="nofollow">credit risk;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=discrete‐time mover‐stayer model&option=203" rel="nofollow">discrete‐time mover‐stayer model;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=EM algorithm&option=203" rel="nofollow">EM algorithm;</a> </p> <div class="translation"> 机译：协调效应;信用风险;离散时间移动器 - 住宿模型;EM算法; </div> </li> </ul> </div> </div> <div class="literature cardcommon" id="literaturereference" style="display:none"> <div class="similarity "> <h3 class="all_title" id="enpatent111">引文网络</h3> <div class="referencetab clearfix"> <ul id="referencedaohang"> <li dataid="referenceul">参考文献</li> <li dataid="citationul">引证文献</li> <li dataid="commonreferenceul">共引文献</li> <li dataid="commoncitationul">同被引文献</li> <li dataid="tworeferenceul">二级参考文献</li> <li dataid="twocitationul">二级引证文献</li> </ul> </div> <div class="reference_details" id="referenceList"> <ul id="referenceul"></ul> <ul id="citationul"></ul> <ul id="commonreferenceul"></ul> <ul id="commoncitationul"></ul> <ul id="tworeferenceul"></ul> <ul id="twocitationul"></ul> </div> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704022680031.html">Mover‐stayer model with covariate effects on stayer's probability and mover's transitions</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Frydman H.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Frydman H.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Matuszyk A.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Matuszyk A.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Li C.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Li C.,</a> <a href="/journal-foreign-19344/" target="_blank" rel="nofollow" class="tuijian_authcolor">Applied stochastic models in business and industry .</a> <span>2019</span><span>,第5期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：具有协变量对住宿概率和移动者的转变的协变量影响</span> </p> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704022680180.html">Estimation and status prediction in a discrete mover‐stayer model with covariate effects on stayer's probability</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Frydman Halina&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Frydman Halina,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Matuszyk Anna&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Matuszyk Anna </a> <a href="/journal-foreign-19344/" target="_blank" rel="nofollow" class="tuijian_authcolor">Applied stochastic models in business and industry .</a> <span>2018</span><span>,第2期</span> </span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：相变概率的离散移动者宿舍模型中的估计和状态预测</span> </p> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/academic-journal-foreign_journal-royal-statistical-society_thesis/0204110878557.html">Clustered multistate models with observation level random effects, mover-stayer effects and dynamic covariates: modelling transition intensities and sojourn times in a study of psoriatic arthritis</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Sean Yiu&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Sean Yiu,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Vernon T. 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