Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini's 75th Birthday
Bayesian predictive inference is at the core of the mathematical theory of inductive reasoning. Nowadays, this field has become very attractive especially for its connections with algorithmic probability, machine learning and artificial intelligence. The complexity of both problems and algorithm rep...
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| Format: | Online |
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| Langue: | anglais |
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MDPI - Multidisciplinary Digital Publishing Institute
2022
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| Accès en ligne: | ONIX_20221117_9783036551142_56 |
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| _version_ | 1869528406739124224 |
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| collection | Directory of Open Access Books |
| description | Bayesian predictive inference is at the core of the mathematical theory of inductive reasoning. Nowadays, this field has become very attractive especially for its connections with algorithmic probability, machine learning and artificial intelligence. The complexity of both problems and algorithm represents a constant source of research of asymptotic techniques, which are necessary to handle vast datasets. The present book contains the 11 papers accepted and published in the Special Issue “Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini’s 75th Birthday” of the MDPI Mathematics journal. The topics of the paper focus, among others, on Bayesian nonparametrics, species sampling models, partial exchangeability and optimal stopping. Finally, as the title suggests, the Special Issue aims to celebrate the 75th birthday of Prof. Eugenio Regazzini, who has provided so many important contributions to the field of Bayesian inference. |
| format | Online |
| id | doab-20.500.12854ir-93799 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-937992024-03-28T03:32:28Z Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini's 75th Birthday Dolera, Emanuele Bassetti, Federico Berry–Esseen type theorem Ewens–Pitman sampling model exchangeable random partitions log-series compound poisson sampling model Mittag–Leffler distribution function negative binomial compound poisson sampling model Pitman’s α-diversity wright distribution function predictive distributions random probability measures reinforced processes Pólya sequences urn schemes Bayesian inference conditional identity in distribution total variation distance Bayesian nonparametrics exchangeability feature-sampling model de Finetti theorem Johnson’s “sufficientness” postulate predictive distribution scaled process prior species-sampling model Pólya urn predictive mean urn model Wright—Fisher diffusion species sampling models exchangeable sequences bayesian predictive inference central limit theorem stable convergence best choice problem optimal stopping time last record trapping strategy algebraic statistics contingency tables de Finetti representation theorem Markov basis partial exchangeability fragmentations of mass partitions generalized gamma process Mittag-Leffler Markov Chains Poisson—Dirichlet distributions species sampling asymptotic efficiency compatibility equations decision theory de Finetti’s representation theorem Wasserstein distance Fisher fiducial argument inverse probability uniform distribution n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Bayesian predictive inference is at the core of the mathematical theory of inductive reasoning. Nowadays, this field has become very attractive especially for its connections with algorithmic probability, machine learning and artificial intelligence. The complexity of both problems and algorithm represents a constant source of research of asymptotic techniques, which are necessary to handle vast datasets. The present book contains the 11 papers accepted and published in the Special Issue “Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini’s 75th Birthday” of the MDPI Mathematics journal. The topics of the paper focus, among others, on Bayesian nonparametrics, species sampling models, partial exchangeability and optimal stopping. Finally, as the title suggests, the Special Issue aims to celebrate the 75th birthday of Prof. Eugenio Regazzini, who has provided so many important contributions to the field of Bayesian inference. 2022-11-17T16:25:23Z 2022-11-17T16:25:23Z 2022 book ONIX_20221117_9783036551142_56 9783036551142 9783036551135 https://directory.doabooks.org/handle/20.500.12854/93799 eng image/jpeg Attribution 4.0 International https://mdpi.com/books/pdfview/book/6228 https://mdpi.com/books/pdfview/book/6228 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-5114-2 10.3390/books978-3-0365-5114-2 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036551142 9783036551135 198 Basel open access |
| spellingShingle | Berry–Esseen type theorem Ewens–Pitman sampling model exchangeable random partitions log-series compound poisson sampling model Mittag–Leffler distribution function negative binomial compound poisson sampling model Pitman’s α-diversity wright distribution function predictive distributions random probability measures reinforced processes Pólya sequences urn schemes Bayesian inference conditional identity in distribution total variation distance Bayesian nonparametrics exchangeability feature-sampling model de Finetti theorem Johnson’s “sufficientness” postulate predictive distribution scaled process prior species-sampling model Pólya urn predictive mean urn model Wright—Fisher diffusion species sampling models exchangeable sequences bayesian predictive inference central limit theorem stable convergence best choice problem optimal stopping time last record trapping strategy algebraic statistics contingency tables de Finetti representation theorem Markov basis partial exchangeability fragmentations of mass partitions generalized gamma process Mittag-Leffler Markov Chains Poisson—Dirichlet distributions species sampling asymptotic efficiency compatibility equations decision theory de Finetti’s representation theorem Wasserstein distance Fisher fiducial argument inverse probability uniform distribution n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini's 75th Birthday |
| title | Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini's 75th Birthday |
| title_full | Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini's 75th Birthday |
| title_fullStr | Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini's 75th Birthday |
| title_full_unstemmed | Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini's 75th Birthday |
| title_short | Bayesian Predictive Inference and Related Asymptotics—Festschrift for Eugenio Regazzini's 75th Birthday |
| title_sort | bayesian predictive inference and related asymptotics mdash festschrift for eugenio regazzini s 75th birthday |
| topic | Berry–Esseen type theorem Ewens–Pitman sampling model exchangeable random partitions log-series compound poisson sampling model Mittag–Leffler distribution function negative binomial compound poisson sampling model Pitman’s α-diversity wright distribution function predictive distributions random probability measures reinforced processes Pólya sequences urn schemes Bayesian inference conditional identity in distribution total variation distance Bayesian nonparametrics exchangeability feature-sampling model de Finetti theorem Johnson’s “sufficientness” postulate predictive distribution scaled process prior species-sampling model Pólya urn predictive mean urn model Wright—Fisher diffusion species sampling models exchangeable sequences bayesian predictive inference central limit theorem stable convergence best choice problem optimal stopping time last record trapping strategy algebraic statistics contingency tables de Finetti representation theorem Markov basis partial exchangeability fragmentations of mass partitions generalized gamma process Mittag-Leffler Markov Chains Poisson—Dirichlet distributions species sampling asymptotic efficiency compatibility equations decision theory de Finetti’s representation theorem Wasserstein distance Fisher fiducial argument inverse probability uniform distribution n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | Berry–Esseen type theorem Ewens–Pitman sampling model exchangeable random partitions log-series compound poisson sampling model Mittag–Leffler distribution function negative binomial compound poisson sampling model Pitman’s α-diversity wright distribution function predictive distributions random probability measures reinforced processes Pólya sequences urn schemes Bayesian inference conditional identity in distribution total variation distance Bayesian nonparametrics exchangeability feature-sampling model de Finetti theorem Johnson’s “sufficientness” postulate predictive distribution scaled process prior species-sampling model Pólya urn predictive mean urn model Wright—Fisher diffusion species sampling models exchangeable sequences bayesian predictive inference central limit theorem stable convergence best choice problem optimal stopping time last record trapping strategy algebraic statistics contingency tables de Finetti representation theorem Markov basis partial exchangeability fragmentations of mass partitions generalized gamma process Mittag-Leffler Markov Chains Poisson—Dirichlet distributions species sampling asymptotic efficiency compatibility equations decision theory de Finetti’s representation theorem Wasserstein distance Fisher fiducial argument inverse probability uniform distribution n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20221117_9783036551142_56 |