[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-116709-en":3,"doc-seo-116709-105":30,"detail-sidebar-cat-0-en-105":91},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},116709,962075114101,"Seraphina","https://ap-avatar.wpscdn.com/avatar/e000253a75eb197efd?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780044092746381165",8,"Research & Report","Likelihood and Its Extensions - Overview","Likelihood and Its Extensions presents likelihood as a unifying idea for statistical theory and inference, grounded in probability models and shaped by historical developments from Fisher to modern likelihood-based computation. The book surveys many “adjective”-likelihood functions developed across diverse contexts, aiming to cover a broad set of inference tools while acknowledging that a complete treatment is impossible as research continues. It targets readers needing statistical methods for complex models, assuming familiarity with core estimation and hypothesis testing.","本书版权归Taylor & Francis Group所有  \nLikelihood and Its Extensions  \nLikelihood serves as a unifying concept in both the theory and practice of statistical science. This is, in a sense, inevitable when probability models are used as a basis for inference. While the key ideas were set out in Fisher in 1922, and further developed throughout the 1930s and 40s, it was the ubiquity of the personal computer and the development of general-purpose software that made likelihood-based inference the method of choice in a wide variety of applications.  \nThis book provides an overview of the many “adjective”-likelihood functions that have been developed in various contexts, aiming to include a wide array of inference functions used in the current literature, while recognizing that a comprehensive treatment is not possible, as research on likelihood-based inference continues.  \nThis book is intended for readers with diverse backgrounds who have an interest in, or a need for, statistical methods in complex models. Some familiarity with likelihood-based inference and the main principles of estimation and hypothesis testing are assumed. The authors have used this text for senior undergraduate and graduate courses in inference.  \nNancy Reid is University Professor Emeritus of Statistical Sciences at the University of Toronto. Cristiano Varin is Professor of Statistics at Ca’ Foscari University of Venice.  \nGrace Y. Yi is Professor and Canada Research Chair in Data Science at the University of Western Ontario.  \nMONOGRAPHS ON STATISTICS AND APPLIED PROBABILITY  \nEditors: F. Bunea, R. Henderson, L. Levina, N. Meinshausen, R. Smith  \nRecently Published Titles  \nDynamic Treatment Regimes  \nStatistical Methods for Precision Medicine  \nAnastasios A. Tsiatis, Marie Davidian, Shannon T. Holloway, and Eric B. Laber 164  \nSequential Change Detection and Hypothesis Testing  \nGeneral Non-i.i.d. Stochastic Models and Asymptotically Optimal Rules  \nAlexander Tartakovsky 165  \nIntroduction to Time Series Modeling  \nGenshiro Kitigawa 166  \nReplication and Evidence Factors in Observational Studies  \nPaul R. Rosenbaum 167  \nIntroduction to High-Dimensional Statistics, Second Edition  \nChristophe Giraud 168  \nObject Oriented Data Analysis  \nJ.S. Marron andIan L. Dryden 169  \nMartingale Methods in Statistics  \nYoichi Nishiyama 170  \nThe Energy of Data and Distance Correlation  \nGabor J. Szekely andMaria L. Rizzo 171  \nSparse Graphical Modeling for High Dimensional Data: Sparse Graphical Modeling for High Dimensional Data  \nFaming Liang and Bochao Jia 172  \nBayesian Nonparametric Methods for Missing Data and Causal Inference  \nMichael J. Daniels, Antonio Linero, and Jason Roy 173  \nFunctional Data Analysis with R  \nCiprian M. Crainiceanu, Jeff Goldsmith, Andrew Leroux, andErjia Cui 174  \nMixture Models: Parametric, Semiparametric, and New Directions  \nWeixin Yao and Sijia Xiang 175  \nSeminal Ideas and Controversies in Statistics  \nRoderick J.A. Little 176  \nTheory of Non-Regular Factorial Designs  \nChing-Shui Cheng and Boxin Tang 177  \nRobust Small Area Estimation: Methods, Theory, Applications, and Open Problems  \nJiming Jiang and J. Sunil Rao 178  \nHierarchical Modeling and Analysis for Spatial Data, Third Edition  \nSudipto Banerjee, Alan E. Gelfand, and Bradley P. Carlin 179  \nLikelihood and Its Extensions  \nNancy Reid, Cristiano Varin, and Grace Y. Yi 180  \nFor more information about this series, please visit: [https://](https://www.crcpress.com/Chapman--HallCRC)[www.crcpress.com/Chapman--HallCRC](https://www.crcpress.com/Chapman--HallCRC)Monographs-on-Statistics--Applied-Probability/book-series/CHMONSTAAPP  \nLikelihood and Its Extensions  \nNancy Reid, Cristiano Varin, and Grace Y. Yi  \nDesigned Cover Image: Nancy Reid, Cristiano Varin, and Grace Y. Yi  \nFirst edition published 2026 by CRC Press  \n2385 NW Executive Center Drive, Suite 320, Boca Raton, FL 33431  \nand by CRC Press  \n4 Park Square, Milton Park, Abingdon, Oxon, OX14 4RNCRC Press is an imprint of Taylor ","cbCair4HW23iHTC4","https://ap.wps.com/l/cbCair4HW23iHTC4","pdf",21955955,1,328,"English","en",105,"# Introduction\n## Likelihood as a Unifying Concept\n## Adjective-Likelihood Functions\n## Intended Audience and Prerequisites","[{\"question\":\"What is the core theme of Likelihood and Its Extensions?\",\"answer\":\"The book frames likelihood as a unifying concept linking statistical theory and practical inference based on probability models.\"},{\"question\":\"What does the book cover regarding likelihood functions?\",\"answer\":\"It provides an overview of many “adjective”-likelihood functions developed in different contexts, including a wide range of inference functions discussed in current literature.\"},{\"question\":\"Who is the book written for?\",\"answer\":\"It is intended for readers with diverse backgrounds who need statistical methods for complex models, assuming familiarity with likelihood-based inference and the main principles of estimation and hypothesis testing.\"}]","Likelihood and Its Extensions - Overview | PDF",1785663311,827,{"code":4,"msg":31,"data":32},"ok",{"site_id":24,"language":23,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":86,"head_meta":88,"extra_data":90,"updated_unix":28},"likelihood-and-its-extensions-overview","",{"@graph":36,"@context":85},[37,54,68],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,51],{"item":41,"name":42,"@type":43,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":50},"https://docshare.wps.com/document/research-report/",3,{"item":52,"name":13,"@type":43,"position":53},"https://docshare.wps.com/document/likelihood-and-its-extensions-overview/116709/",4,{"url":52,"name":13,"@type":55,"author":56,"headline":13,"publisher":58,"fileFormat":61,"inLanguage":23,"description":14,"dateModified":62,"datePublished":62,"encodingFormat":61,"isAccessibleForFree":63,"interactionStatistic":64},"DigitalDocument",{"name":9,"@type":57},"Person",{"url":41,"name":59,"@type":60},"DocShare","Organization","application/pdf","2026-08-02",true,{"@type":65,"interactionType":66,"userInteractionCount":4},"InteractionCounter",{"@type":67},"ViewAction",{"@type":69,"mainEntity":70},"FAQPage",[71,77,81],{"name":72,"@type":73,"acceptedAnswer":74},"What is the core theme of Likelihood and Its Extensions?","Question",{"text":75,"@type":76},"The book frames likelihood as a unifying concept linking statistical theory and practical inference based on probability models.","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"What does the book cover regarding likelihood functions?",{"text":80,"@type":76},"It provides an overview of many “adjective”-likelihood functions developed in different contexts, including a wide range of inference functions discussed in current literature.",{"name":82,"@type":73,"acceptedAnswer":83},"Who is the book written for?",{"text":84,"@type":76},"It is intended for readers with diverse backgrounds who need statistical methods for complex models, assuming familiarity with likelihood-based inference and the main principles of estimation and hypothesis testing.","https://schema.org",{"og:url":52,"og:type":87,"og:title":13,"og:site_name":59,"og:description":14},"article",{"robots":89,"canonical":52},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":92},[93,97,101,105,110,115,120,123,128,131,135],{"id":20,"doc_module":4,"doc_module_name":46,"category_name":94,"show_sort_weight":95,"slug":96},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":98,"show_sort_weight":99,"slug":100},"Literature",80,"literature",{"id":53,"doc_module":4,"doc_module_name":46,"category_name":102,"show_sort_weight":103,"slug":104},"Exam",70,"exam",{"id":106,"doc_module":4,"doc_module_name":46,"category_name":107,"show_sort_weight":108,"slug":109},5,"Comic",60,"comic",{"id":111,"doc_module":4,"doc_module_name":46,"category_name":112,"show_sort_weight":113,"slug":114},6,"Technology",50,"technology",{"id":116,"doc_module":4,"doc_module_name":46,"category_name":117,"show_sort_weight":118,"slug":119},7,"Healthcare",40,"healthcare",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":121,"slug":122},30,"research-report",{"id":124,"doc_module":4,"doc_module_name":46,"category_name":125,"show_sort_weight":126,"slug":127},9,"Religion & Spirituality",20,"religion-spirituality",{"id":126,"doc_module":4,"doc_module_name":46,"category_name":129,"show_sort_weight":126,"slug":130},"World Cup","world-cup",{"id":132,"doc_module":4,"doc_module_name":46,"category_name":133,"show_sort_weight":132,"slug":134},10,"Lifestyle","lifestyle",{"id":136,"doc_module":4,"doc_module_name":46,"category_name":137,"show_sort_weight":106,"slug":138},19,"General","general"]