The Weighted Bootstrap:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Lecture Notes in Statistics
98 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | INTRODUCTION 1) Introduction In 1979, Efron introduced the bootstrap method as a kind of universal tool to obtain approximation of the distribution of statistics. The now well known underlying idea is the following : consider a sample X of Xl ' n independent and identically distributed H.i.d.) random variables (r. v,'s) with unknown probability measure (p.m.) P . Assume we are interested in approximating the distribution of a statistical functional T(P ) the -1 nn empirical counterpart of the functional T(P) , where P n := n l:i=l aX. is 1 the empirical p.m. Since in some sense P is close to P when n is large, n • • LLd. from P and builds the empirical p.m. if one samples Xl ' ... , Xm n n -1 mn • • P T(P ) conditionally on := mn l: i =1 a • ' then the behaviour of P m n,m n n n X. 1 T(P ) should imitate that of when n and mn get large. n This idea has lead to considerable investigations to see when it is correct, and when it is not. When it is not, one looks if there is any way to adapt it |
| Beschreibung: | 1 Online-Ressource (VIII, 230p) |
| ISBN: | 9781461225324 9780387944784 |
| ISSN: | 0930-0325 |
| DOI: | 10.1007/978-1-4612-2532-4 |
Internformat
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Datensatz im Suchindex
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| author_facet | Barbe, Philippe |
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| building | Verbundindex |
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| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-2532-4 |
| format | Electronic eBook |
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| id | DE-604.BV042420039 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461225324 9780387944784 |
| issn | 0930-0325 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855456 |
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| spelling | Barbe, Philippe Verfasser aut The Weighted Bootstrap by Philippe Barbe, Patrice Bertail New York, NY Springer New York 1995 1 Online-Ressource (VIII, 230p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 98 0930-0325 INTRODUCTION 1) Introduction In 1979, Efron introduced the bootstrap method as a kind of universal tool to obtain approximation of the distribution of statistics. The now well known underlying idea is the following : consider a sample X of Xl ' n independent and identically distributed H.i.d.) random variables (r. v,'s) with unknown probability measure (p.m.) P . Assume we are interested in approximating the distribution of a statistical functional T(P ) the -1 nn empirical counterpart of the functional T(P) , where P n := n l:i=l aX. is 1 the empirical p.m. Since in some sense P is close to P when n is large, n • • LLd. from P and builds the empirical p.m. if one samples Xl ' ... , Xm n n -1 mn • • P T(P ) conditionally on := mn l: i =1 a • ' then the behaviour of P m n,m n n n X. 1 T(P ) should imitate that of when n and mn get large. n This idea has lead to considerable investigations to see when it is correct, and when it is not. When it is not, one looks if there is any way to adapt it Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Bootstrap-Statistik (DE-588)4139168-8 gnd rswk-swf Differenzierbare Funktion (DE-588)4149803-3 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Gewichtung (DE-588)4343264-5 gnd rswk-swf Gewichtsfunktion (DE-588)4328820-0 gnd rswk-swf Gewicht Mathematik (DE-588)4157270-1 gnd rswk-swf Bootstrap-Statistik (DE-588)4139168-8 s Gewicht Mathematik (DE-588)4157270-1 s 1\p DE-604 Gewichtsfunktion (DE-588)4328820-0 s 2\p DE-604 Statistik (DE-588)4056995-0 s 3\p DE-604 Approximation (DE-588)4002498-2 s 4\p DE-604 Differenzierbare Funktion (DE-588)4149803-3 s 5\p DE-604 Gewichtung (DE-588)4343264-5 s 6\p DE-604 Bertail, Patrice Sonstige oth https://doi.org/10.1007/978-1-4612-2532-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Barbe, Philippe The Weighted Bootstrap Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Bootstrap-Statistik (DE-588)4139168-8 gnd Differenzierbare Funktion (DE-588)4149803-3 gnd Approximation (DE-588)4002498-2 gnd Statistik (DE-588)4056995-0 gnd Gewichtung (DE-588)4343264-5 gnd Gewichtsfunktion (DE-588)4328820-0 gnd Gewicht Mathematik (DE-588)4157270-1 gnd |
| subject_GND | (DE-588)4139168-8 (DE-588)4149803-3 (DE-588)4002498-2 (DE-588)4056995-0 (DE-588)4343264-5 (DE-588)4328820-0 (DE-588)4157270-1 |
| title | The Weighted Bootstrap |
| title_auth | The Weighted Bootstrap |
| title_exact_search | The Weighted Bootstrap |
| title_full | The Weighted Bootstrap by Philippe Barbe, Patrice Bertail |
| title_fullStr | The Weighted Bootstrap by Philippe Barbe, Patrice Bertail |
| title_full_unstemmed | The Weighted Bootstrap by Philippe Barbe, Patrice Bertail |
| title_short | The Weighted Bootstrap |
| title_sort | the weighted bootstrap |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Bootstrap-Statistik (DE-588)4139168-8 gnd Differenzierbare Funktion (DE-588)4149803-3 gnd Approximation (DE-588)4002498-2 gnd Statistik (DE-588)4056995-0 gnd Gewichtung (DE-588)4343264-5 gnd Gewichtsfunktion (DE-588)4328820-0 gnd Gewicht Mathematik (DE-588)4157270-1 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Bootstrap-Statistik Differenzierbare Funktion Approximation Statistik Gewichtung Gewichtsfunktion Gewicht Mathematik |
| url | https://doi.org/10.1007/978-1-4612-2532-4 |
| work_keys_str_mv | AT barbephilippe theweightedbootstrap AT bertailpatrice theweightedbootstrap |