Testing statistical hypotheses:
1. The General Decision Problem -- 2. The Probability Background -- 3. Uniformly Most Powerful Tests -- 4. Unbiasedness: Theory and First Applications -- 5. Unbiasedness: Applications to Normal Distributions -- 6. Invariance -- 7. Linear Hypotheses -- 8. The Minimax Principle -- 9. Multiple Testing...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer International Publishing
2022
Cham Springer |
| Ausgabe: | 4th ed. 2022 |
| Schriftenreihe: | Springer texts in statistics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FHD01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 HTW01 TUM01 UBM01 UBT01 UBW01 UBY01 UEI01 UPA01 Volltext |
| Zusammenfassung: | 1. The General Decision Problem -- 2. The Probability Background -- 3. Uniformly Most Powerful Tests -- 4. Unbiasedness: Theory and First Applications -- 5. Unbiasedness: Applications to Normal Distributions -- 6. Invariance -- 7. Linear Hypotheses -- 8. The Minimax Principle -- 9. Multiple Testing and Simultaneous Inference -- 10. Conditional Inference -- 11. Basic Large Sample Theory -- 12. Extensions of the CLT to Sums of Dependent Random Variables -- 13. Applications to Inference -- 14. Quadratic Mean Differentiable Families -- 15. Large Sample Optimality -- 16. Testing Goodness of Fit -- 17. Permutation and Randomization Tests -- 18. Bootstrap and Subsampling Methods -- A. Auxiliary Results. Testing Statistical Hypotheses, 4th Edition updates and expands upon the classic graduate text, now a two-volume work. The first volume covers finite-sample theory, while the second volume discusses large-sample theory. A definitive resource for graduate students and researchers alike, this work grows to include new topics of current relevance. New additions include an expanded treatment of multiple hypothesis testing, a new section on extensions of the Central Limit Theorem, coverage of high-dimensional testing, expanded discussions of permutation and randomization tests, coverage of testing moment inequalities, and many new problems throughout the text. E.L. Lehmann (1917 – 2009) was an American statistician and professor of statistics at the University of California, Berkeley. He made significant contributions to nonparametric hypothesis testing, and he is one of the eponyms of the Lehmann-Scheffé theorem and of the Hodges-Lehmann estimator. Dr. Lehmann was a member of the National Academy of Sciences and the American Academy of Arts and Sciences, and the recipient of honorary degrees from the University of Leiden, The Netherlands and the University of Chicago. He was the author of Elements of Large-Sample Theory (Springer 1999) and Theory of Point Estimation, Second Edition (Springer 1998, with George Casella). Joseph P. Romano has been on faculty in the Statistics Department at Stanford since 1986. Since 2007, he has held a joint professorship appointment in both Statistics and Economics. He is a coauthor of three books, as well as over 100 journal articles. Dr. Romano was named NOGLSTP's 2021 LGBTQ+ Scientist of the Year, has been a recipient of the Presidential Young Investigator Award and many other grants from the National Science Foundation, and is a Fellow of the Institute of Mathematical Statistics and of the International Association of Applied Econometrics. |
| Beschreibung: | 1 Online-Ressource (XV, 1012 p. 13 illus., 7 illus. in color) |
| ISBN: | 9783030705787 |
| ISSN: | 2197-4136 |
| DOI: | 10.1007/978-3-030-70578-7 |
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| id | DE-604.BV048307200 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T20:08:30Z |
| indexdate | 2024-08-01T10:53:48Z |
| institution | BVB |
| isbn | 9783030705787 |
| issn | 2197-4136 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033686875 |
| oclc_num | 1335408757 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-898 DE-BY-UBR DE-861 DE-188 DE-523 DE-859 DE-863 DE-BY-FWS DE-1050 DE-20 DE-862 DE-BY-FWS DE-92 DE-824 DE-703 DE-706 DE-739 DE-634 |
| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-898 DE-BY-UBR DE-861 DE-188 DE-523 DE-859 DE-863 DE-BY-FWS DE-1050 DE-20 DE-862 DE-BY-FWS DE-92 DE-824 DE-703 DE-706 DE-739 DE-634 |
| physical | 1 Online-Ressource (XV, 1012 p. 13 illus., 7 illus. in color) |
| psigel | ZDB-2-SMA ZDB-2-SMA_2022 |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | Springer International Publishing Springer |
| record_format | marc |
| series2 | Springer texts in statistics |
| spellingShingle | Lehmann, Erich L. 1917-2009 Romano, Joseph P. 1960- Testing statistical hypotheses Statistical Theory and Methods Probability Theory Statistics Statistics Probabilities |
| title | Testing statistical hypotheses |
| title_auth | Testing statistical hypotheses |
| title_exact_search | Testing statistical hypotheses |
| title_exact_search_txtP | Testing statistical hypotheses |
| title_full | Testing statistical hypotheses by E.L. Lehmann, Joseph P. Romano |
| title_fullStr | Testing statistical hypotheses by E.L. Lehmann, Joseph P. Romano |
| title_full_unstemmed | Testing statistical hypotheses by E.L. Lehmann, Joseph P. Romano |
| title_short | Testing statistical hypotheses |
| title_sort | testing statistical hypotheses |
| topic | Statistical Theory and Methods Probability Theory Statistics Statistics Probabilities |
| topic_facet | Statistical Theory and Methods Probability Theory Statistics Statistics Probabilities |
| url | https://doi.org/10.1007/978-3-030-70578-7 |
| work_keys_str_mv | AT lehmannerichl testingstatisticalhypotheses AT romanojosephp testingstatisticalhypotheses |