Abstract inference:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Wiley
1981
|
| Series: | Wiley series in probability and mathematical statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 526 S. |
| ISBN: | 0471082678 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV003389382 | ||
| 003 | DE-604 | ||
| 005 | 20220609 | ||
| 007 | t | ||
| 008 | 900725s1981 |||| 00||| eng d | ||
| 020 | |a 0471082678 |9 0-471-08267-8 | ||
| 035 | |a (OCoLC)6708583 | ||
| 035 | |a (DE-599)BVBBV003389382 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-384 |a DE-473 |a DE-703 |a DE-739 |a DE-824 |a DE-20 |a DE-19 |a DE-706 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA276 | |
| 082 | 0 | |a 519.5/4 |2 19 | |
| 084 | |a SK 800 |0 (DE-625)143256: |2 rvk | ||
| 084 | |a SK 830 |0 (DE-625)143259: |2 rvk | ||
| 084 | |a SK 840 |0 (DE-625)143261: |2 rvk | ||
| 100 | 1 | |a Grenander, Ulf |d 1923-2016 |e Verfasser |0 (DE-588)1112557946 |4 aut | |
| 245 | 1 | 0 | |a Abstract inference |c Ulf Grenander |
| 264 | 1 | |a New York [u.a.] |b Wiley |c 1981 | |
| 300 | |a IX, 526 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Wiley series in probability and mathematical statistics | |
| 650 | 4 | |a Statistique mathématique | |
| 650 | 4 | |a Mathematical statistics | |
| 650 | 0 | 7 | |a Statistische Schlussweise |0 (DE-588)4182963-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inferenzstatistik |0 (DE-588)4247120-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Inferenzstatistik |0 (DE-588)4247120-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Statistische Schlussweise |0 (DE-588)4182963-3 |D s |
| 689 | 1 | |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=002142343&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-nveb | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002142343 | ||
| 980 | 4 | |a (DE-12)AK08500442 | |
Record in the Search Index
| _version_ | 1804117738192371712 |
|---|---|
| adam_text | Contents
INTRODUCTION 1
1 The two objects of study, 1
2 Observing general objects, 2
3 Parametric study of nonparametric problems, 5
4 General approach, 8
Notation, 9
PART 1 SOME PROBABILITY THEORY ON
ABSTRACT SPACES 13
1 Probabilistic background, 15
1 Probabilities in function spaces, 15
2 Probabilities in topological vector spaces, 24
3 Probabilities in locally compact spaces, 30
2 Geometry of stochastic processes, 37 ¦
1 Curves in Hilbert space, 37
2 Calculus of second-order processes, 46
3 Representations of processes, 54
4 Special representations, 62
5 Toeplitz theory of stationary process, 85
6 Reproducing covariance kernels, 93
PART 2 INFERENCE IN ABSTRACT SAMPLE SPACE 103
3 General inference in abstract sample space, 105
1 Likelihood ratios in abstract space, 105
2 Calculating Radon-Nikodym derivatives, 114
3 Perpendicular measures and consistent estimation, 133
vil
viii Contents
4 Linear inference, 147
1 The finite-dimensional situation, 147
2 Consistent estimation, 156
3 BLUEs for stochastic processes, 179
4 Asymptotic optimality; discrete time, 212
5 Asymptotic optimality; continuous case, 244
6 Linear inference in Banach spaces, 251
7 Selecting linear functionals for estimation, 258
5 Testing Gaussian processes, 269
1 Testing mean value functions, 269
2 Testing covariance functions, 278
3 Selecting linear functionals for testing, 290
6 Inference in Markov processes, 304
1 The infinitesimal generator as parameter, 304
2 Finite Markov chains, 307
3 Birth-and-death processes with linear growth, 317
4 Processes with independent increments, 323
5 Estimation for diffusion processes, 336
6 Likelihood estimation for some
general Markov processes, 340
PART 3 INFERENCE IN ABSTRACT PARAMETER SPACE, 345
7 Regularization in abstract parameter space, 347
1 Parametric methods for nonparametric questions, 347
2 Direct methods in abstract parameter space, 358
3 Regularization of spectral estimates, 361
4 Regularization of frequency estimates, 369
5 Regularization of sets, 373
6 General regularization, 386
8 Sieves in parameter space, 390
1 Parameter in /,-space, 390
2 Parameter in £,,-space, 395
Contents ix
3 Parameter in l2- and L2-spaces, 420
4 Parameter in C-spaces, 426
5 Parameter in a -BF-space, 442
6 Operators as parameter, 444
7 Parameter in groups, 452
8 Sets as parameters, 465
9 General Parameter Space, 469
1 General conditions for sieves, 469
2 Regularization via sieves, 472
3 Sieves in general, 478
4 Cramer-Rao s inequality in Banach spaces, 484
NOTES, 492
BIBLIOGRAPHY, 511
INDEX, 523
|
| any_adam_object | 1 |
| author | Grenander, Ulf 1923-2016 |
| author_GND | (DE-588)1112557946 |
| author_facet | Grenander, Ulf 1923-2016 |
| author_role | aut |
| author_sort | Grenander, Ulf 1923-2016 |
| author_variant | u g ug |
| building | Verbundindex |
| bvnumber | BV003389382 |
| callnumber-first | Q - Science |
| callnumber-label | QA276 |
| callnumber-raw | QA276 |
| callnumber-search | QA276 |
| callnumber-sort | QA 3276 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 800 SK 830 SK 840 |
| ctrlnum | (OCoLC)6708583 (DE-599)BVBBV003389382 |
| dewey-full | 519.5/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/4 |
| dewey-search | 519.5/4 |
| dewey-sort | 3519.5 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01728nam a2200457 c 4500</leader><controlfield tag="001">BV003389382</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220609 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900725s1981 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0471082678</subfield><subfield code="9">0-471-08267-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)6708583</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV003389382</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA276</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.5/4</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 800</subfield><subfield code="0">(DE-625)143256:</subfield><subfield code="2">rvk</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">SK 840</subfield><subfield code="0">(DE-625)143261:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Grenander, Ulf</subfield><subfield code="d">1923-2016</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1112557946</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Abstract inference</subfield><subfield code="c">Ulf Grenander</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Wiley</subfield><subfield code="c">1981</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 526 S.</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="490" ind1="0" ind2=" "><subfield code="a">Wiley series in probability and mathematical statistics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Statistique mathématique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical statistics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statistische Schlussweise</subfield><subfield code="0">(DE-588)4182963-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Inferenzstatistik</subfield><subfield code="0">(DE-588)4247120-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Inferenzstatistik</subfield><subfield code="0">(DE-588)4247120-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Statistische Schlussweise</subfield><subfield code="0">(DE-588)4182963-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" 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=002142343&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-nveb</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002142343</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK08500442</subfield></datafield></record></collection> |
| id | DE-604.BV003389382 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:59:10Z |
| institution | BVB |
| isbn | 0471082678 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002142343 |
| oclc_num | 6708583 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-473 DE-BY-UBG DE-703 DE-739 DE-824 DE-20 DE-19 DE-BY-UBM DE-706 DE-83 DE-188 |
| owner_facet | DE-12 DE-384 DE-473 DE-BY-UBG DE-703 DE-739 DE-824 DE-20 DE-19 DE-BY-UBM DE-706 DE-83 DE-188 |
| physical | IX, 526 S. |
| psigel | TUB-nveb |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Wiley |
| record_format | marc |
| series2 | Wiley series in probability and mathematical statistics |
| spelling | Grenander, Ulf 1923-2016 Verfasser (DE-588)1112557946 aut Abstract inference Ulf Grenander New York [u.a.] Wiley 1981 IX, 526 S. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and mathematical statistics Statistique mathématique Mathematical statistics Statistische Schlussweise (DE-588)4182963-3 gnd rswk-swf Inferenzstatistik (DE-588)4247120-5 gnd rswk-swf Inferenzstatistik (DE-588)4247120-5 s DE-604 Statistische Schlussweise (DE-588)4182963-3 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002142343&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Grenander, Ulf 1923-2016 Abstract inference Statistique mathématique Mathematical statistics Statistische Schlussweise (DE-588)4182963-3 gnd Inferenzstatistik (DE-588)4247120-5 gnd |
| subject_GND | (DE-588)4182963-3 (DE-588)4247120-5 |
| title | Abstract inference |
| title_auth | Abstract inference |
| title_exact_search | Abstract inference |
| title_full | Abstract inference Ulf Grenander |
| title_fullStr | Abstract inference Ulf Grenander |
| title_full_unstemmed | Abstract inference Ulf Grenander |
| title_short | Abstract inference |
| title_sort | abstract inference |
| topic | Statistique mathématique Mathematical statistics Statistische Schlussweise (DE-588)4182963-3 gnd Inferenzstatistik (DE-588)4247120-5 gnd |
| topic_facet | Statistique mathématique Mathematical statistics Statistische Schlussweise Inferenzstatistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002142343&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT grenanderulf abstractinference |