Additive and multiplicative semiparametric models in accelerated life testing and survival analysis:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Kingston
Queen's Univ.
1998
|
| Schriftenreihe: | Queen's papers in pure and applied mathematics
108 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008216821&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | II, 109 S. |
| ISBN: | 0889118027 |
Internformat
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| 245 | 1 | 0 | |a Additive and multiplicative semiparametric models in accelerated life testing and survival analysis |c by V. Bagdonavičius and M. Nikulin |
| 264 | 1 | |a Kingston |b Queen's Univ. |c 1998 | |
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| 650 | 4 | |a Accelerated life testing |x Mathematical models | |
| 650 | 4 | |a Failure time data analysis | |
| 650 | 4 | |a Mathematical statistics | |
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Datensatz im Suchindex
| _version_ | 1819265332134543360 |
|---|---|
| adam_text | CONTENTS
1. Introduction 1
2. Application of step stresses in accelerated life testing 1
2.1. Problematics 1
2.2. Some properties of the AFT model 4
2.3. Estimation of the reliability function under normal stress using
accelerated experiments 4
2.4. Asymptotic properties of estimators 10
2.5. Parametric estimation 16
2.6. Estimation, when stresses change the shape of distribution 20
2.7. Estimation in AFT model, when G is completely unknown and r
is parametrized 21
3. A goodness of fit test for the generalized Sedyakin s model 23
3.1. Definitions 23
3.2. Goodness of fit test. Complete data 24
3.3. Type I censored data 29
4. Accelerated life testing, when a process of production is unstable ... 30
4.1. The heredity hypothesis 30
4.2. Estimation of p and b 33
4.3. Asymptotic properties of the estimators p and b 35
4.4. Test for the heredity principle 38
5. Tests for equality of distributions of multicomponent systems 39
5.1. Problematics 39
5.2. The tests (bivariate case) 40
5.3. Choice of optimal weights maximizing the power of tests under
close alternatives 45
5.4. Multivariate case 49
6. Estimation and asymptotic properties of estimators in the generalized
additive multiplicative semiparametric model 49
6.1. Generalized additive multiplicative model 50
6.2. Estimation of the regression parameters and the survival functions
in the generalized additive multiplicative model 53
6.3. Asymptotic properties of the estimators 57
i
7. Analysis of survival data with random covariates 71
7.1. Estimation in the generalized multiplicative model 71
7.2. Asymptotic properties of the estimators 72
7.3. Estimation in the generalized additive semiparametric model83
7.3.1. Notations 83
7.3.2. Estimating equation and estimators Ho, 7 and SX(.) ¦ ¦ 84
7.3.3. Asymptotic properties of the estimating function 85
7.3.4. Asymptotic properties of the estimator 7 91
7.3.5. Asymptotic properties of Ho and Sx( ) 93
8. Multivariate regression models in survival analysis 95
8.1. Notion of Archimedian copula 95
8.2. Characterization of the GM model 97
8.3. Bivariate regression models 98
8.4. Semiparametric estimation in bivariate regression models ... 99
8.5. Some remarks on the multivariate case 103
9. References 105
ii
|
| any_adam_object | 1 |
| author | Bagdonavičius, Vilijandas Nikulin, Michail S. |
| author_GND | (DE-588)134042727 (DE-588)131649515 |
| author_facet | Bagdonavičius, Vilijandas Nikulin, Michail S. |
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| building | Verbundindex |
| bvnumber | BV012132147 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 380 |
| ctrlnum | (OCoLC)39607196 (DE-599)BVBBV012132147 |
| dewey-full | 510 620/.00452 |
| dewey-hundreds | 500 - Natural sciences and mathematics 600 - Technology (Applied sciences) |
| dewey-ones | 510 - Mathematics 620 - Engineering and allied operations |
| dewey-raw | 510 620/.00452 |
| dewey-search | 510 620/.00452 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics 620 - Engineering and allied operations |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012132147 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:24:54Z |
| institution | BVB |
| isbn | 0889118027 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008216821 |
| oclc_num | 39607196 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-703 |
| owner_facet | DE-355 DE-BY-UBR DE-703 |
| physical | II, 109 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Queen's Univ. |
| record_format | marc |
| series | Queen's papers in pure and applied mathematics |
| series2 | Queen's papers in pure and applied mathematics |
| spellingShingle | Bagdonavičius, Vilijandas Nikulin, Michail S. Additive and multiplicative semiparametric models in accelerated life testing and survival analysis Queen's papers in pure and applied mathematics Mathematisches Modell Accelerated life testing Mathematical models Failure time data analysis Mathematical statistics Semiparametrisches Modell (DE-588)4232479-8 gnd Lebensdauerverteilung (DE-588)4303152-3 gnd Überlebenszeit (DE-588)4186609-5 gnd |
| subject_GND | (DE-588)4232479-8 (DE-588)4303152-3 (DE-588)4186609-5 |
| title | Additive and multiplicative semiparametric models in accelerated life testing and survival analysis |
| title_auth | Additive and multiplicative semiparametric models in accelerated life testing and survival analysis |
| title_exact_search | Additive and multiplicative semiparametric models in accelerated life testing and survival analysis |
| title_full | Additive and multiplicative semiparametric models in accelerated life testing and survival analysis by V. Bagdonavičius and M. Nikulin |
| title_fullStr | Additive and multiplicative semiparametric models in accelerated life testing and survival analysis by V. Bagdonavičius and M. Nikulin |
| title_full_unstemmed | Additive and multiplicative semiparametric models in accelerated life testing and survival analysis by V. Bagdonavičius and M. Nikulin |
| title_short | Additive and multiplicative semiparametric models in accelerated life testing and survival analysis |
| title_sort | additive and multiplicative semiparametric models in accelerated life testing and survival analysis |
| topic | Mathematisches Modell Accelerated life testing Mathematical models Failure time data analysis Mathematical statistics Semiparametrisches Modell (DE-588)4232479-8 gnd Lebensdauerverteilung (DE-588)4303152-3 gnd Überlebenszeit (DE-588)4186609-5 gnd |
| topic_facet | Mathematisches Modell Accelerated life testing Mathematical models Failure time data analysis Mathematical statistics Semiparametrisches Modell Lebensdauerverteilung Überlebenszeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008216821&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889470 |
| work_keys_str_mv | AT bagdonaviciusvilijandas additiveandmultiplicativesemiparametricmodelsinacceleratedlifetestingandsurvivalanalysis AT nikulinmichails additiveandmultiplicativesemiparametricmodelsinacceleratedlifetestingandsurvivalanalysis |