Bayes' rule: a tutorial introduction to Bayesian analysis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
[s.l.]
Sebtel Press
2013
|
| Ausgabe: | 1. ed., repr. with corr. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 165 - 167 |
| Beschreibung: | 170 S. Ill., graph. Darst. |
| ISBN: | 9780956372840 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV041294158 | ||
| 003 | DE-604 | ||
| 005 | 20150224 | ||
| 007 | t | ||
| 008 | 130927s2013 ad|| |||| 00||| eng d | ||
| 020 | |a 9780956372840 |9 978-0-9563728-4-0 | ||
| 035 | |a (OCoLC)864558309 | ||
| 035 | |a (DE-599)BVBBV041294158 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-29T |a DE-384 | ||
| 084 | |a SK 830 |0 (DE-625)143259: |2 rvk | ||
| 084 | |a 31.73 |2 bkl | ||
| 100 | 1 | |a Stone, James V. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Bayes' rule |b a tutorial introduction to Bayesian analysis |c James V. Stone |
| 250 | |a 1. ed., repr. with corr. | ||
| 264 | 1 | |a [s.l.] |b Sebtel Press |c 2013 | |
| 300 | |a 170 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 165 - 167 | ||
| 650 | 0 | 7 | |a Bayes-Verfahren |0 (DE-588)4204326-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Bayes-Verfahren |0 (DE-588)4204326-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026743086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-026743086 | ||
Datensatz im Suchindex
| _version_ | 1804151359902056448 |
|---|---|
| adam_text | Titel: Bayes rule
Autor: Stone, James V
Jahr: 2013
Contents Preface 1. An Introduction to Bayes’ Rule 1 1.1. Example 1: Poxy Diseases................. 3 1.2. Example 2: Forkandles................... 16 1.3. Example 3: Flipping Coins ................ 21 1.4. Example 4: Light Craters................. 25 1.5. Forward and Inverse Probability ............. 27 2. Bayes’ Rule in Pictures 29 2.1. Random Variables..................... 29 2.2. The Rules of Probability.................. 31 2.3. Joint Probability and Coin Flips............. 33 2.4. Probability As Geometric Area.............. 34 2.5. Bayes’ Rule From Venn Diagrams............. 41 2.6. Bayes’ Rule and the Medical Test ............ 43 3. Discrete Parameter Values 47 3.1. Joint Probability Functions................ 48 3.2. Patient Questions...................... 52 3.3. Deriving Bayes’ Rule ................... 65 3.4. Using Bayes’ Rule ..................... 68 3.5. Bayes’ Rule and the Joint Distribution.......... 70 4. Continuous Parameter Values 73 4.1. A Continuous Likelihood Function............ 73 4.2. A Binomial Prior...................... 78 4.3. The Posterior........................ 79 4.4. A Rational Basis For Bias................. 81 4.5. The Uniform Prior..................... 81 4.6. Finding the MAP Analytically .............. 85 4.7. Evolution of the Posterior................. 87 4.8. Reference Priors ...................... 91 4.9. Loss Functions....................... 92
5. Gaussian Parameter Estimation 95 5.1. The Gaussian Distribution ................ 95 5.2. Estimating the Population Mean............. 97 5.3. Error Bars for Gaussian Distributions....... 103 5.4. Regression as Parameter Estimation...........104 6. A Bird’s Eye View of Bayes’ Rule 109 6.1. Joint Gaussian Distributions ...............109 6.2. A Bird’s-Eye View of the Joint Distribution ......112 6.3. A Bird’s-Eye View of Bayes’ Rule.............115 6.4. Slicing Through Joint Distributions............116 6.5. Statistical Independence..................116 7. Bayesian Wars 119 7.1. The Nature of Probability.................119 7.2. Bayesian Wars .......................125 7.3. A Very Short History of Bayes’ Rule...........128 Further Reading 129 Appendices 131 A. Glossary 133 B. Mathematical Symbols 137 C. The Rules of Probability 141 D. Probability Density Functions 145 E. The Binomial Distribution 149 F. The Gaussian Distribution 153 G. Least-Squares Estimation 155 H. Reference Priors 157 I. MatLab Code 159 References 165 Index 169
|
| any_adam_object | 1 |
| author | Stone, James V. |
| author_facet | Stone, James V. |
| author_role | aut |
| author_sort | Stone, James V. |
| author_variant | j v s jv jvs |
| building | Verbundindex |
| bvnumber | BV041294158 |
| classification_rvk | SK 830 |
| ctrlnum | (OCoLC)864558309 (DE-599)BVBBV041294158 |
| discipline | Mathematik |
| edition | 1. ed., repr. with corr. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01279nam a2200349 c 4500</leader><controlfield tag="001">BV041294158</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150224 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">130927s2013 ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780956372840</subfield><subfield code="9">978-0-9563728-4-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)864558309</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV041294158</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield><subfield code="a">DE-384</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 830</subfield><subfield code="0">(DE-625)143259:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.73</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Stone, James V.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Bayes' rule</subfield><subfield code="b">a tutorial introduction to Bayesian analysis</subfield><subfield code="c">James V. Stone</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. ed., repr. with corr.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">[s.l.]</subfield><subfield code="b">Sebtel Press</subfield><subfield code="c">2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">170 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 165 - 167</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Bayes-Verfahren</subfield><subfield code="0">(DE-588)4204326-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Bayes-Verfahren</subfield><subfield code="0">(DE-588)4204326-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026743086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-026743086</subfield></datafield></record></collection> |
| id | DE-604.BV041294158 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:53:34Z |
| institution | BVB |
| isbn | 9780956372840 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026743086 |
| oclc_num | 864558309 |
| open_access_boolean | |
| owner | DE-29T DE-384 |
| owner_facet | DE-29T DE-384 |
| physical | 170 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Sebtel Press |
| record_format | marc |
| spelling | Stone, James V. Verfasser aut Bayes' rule a tutorial introduction to Bayesian analysis James V. Stone 1. ed., repr. with corr. [s.l.] Sebtel Press 2013 170 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 165 - 167 Bayes-Verfahren (DE-588)4204326-8 gnd rswk-swf Bayes-Verfahren (DE-588)4204326-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026743086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stone, James V. Bayes' rule a tutorial introduction to Bayesian analysis Bayes-Verfahren (DE-588)4204326-8 gnd |
| subject_GND | (DE-588)4204326-8 |
| title | Bayes' rule a tutorial introduction to Bayesian analysis |
| title_auth | Bayes' rule a tutorial introduction to Bayesian analysis |
| title_exact_search | Bayes' rule a tutorial introduction to Bayesian analysis |
| title_full | Bayes' rule a tutorial introduction to Bayesian analysis James V. Stone |
| title_fullStr | Bayes' rule a tutorial introduction to Bayesian analysis James V. Stone |
| title_full_unstemmed | Bayes' rule a tutorial introduction to Bayesian analysis James V. Stone |
| title_short | Bayes' rule |
| title_sort | bayes rule a tutorial introduction to bayesian analysis |
| title_sub | a tutorial introduction to Bayesian analysis |
| topic | Bayes-Verfahren (DE-588)4204326-8 gnd |
| topic_facet | Bayes-Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026743086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT stonejamesv bayesruleatutorialintroductiontobayesiananalysis |