Progressive Censoring: Theory, Methods, and Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2000
|
| Schriftenreihe: | Statistics for Industry and Technology
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Censored sampling arises in a life-testing experiment whenever the experimenter does not observe (either intentionally or unintentionally) the failure times of all units placed on a life-test. Inference based on censored sampling has been studied during the past 50 years by numerous authors for a wide range of lifetime distributions such as normal, exponential, gamma, Rayleigh, Weibull, extreme value, log-normal, inverse Gaussian, logistic, Laplace, and Pareto. Naturally, there are many different forms of censoring that have been discussed in the literature. In this book, we consider a versatile scheme of censoring called progressive Type-II censoring. Under this scheme of censoring, from a total of n units placed on a life-test, only m are completely observed until failure. At the time of the first failure, Rl of the n - 1 surviving units are randomly withdrawn (or censored) from the life-testing experiment. At the time of the next failure, R2 of the n - 2 -Rl surviving units are censored, and so on. Finally, at the time of the m-th failure, all the remaining Rm = n - m -Rl - . . . - Rm-l surviving units are censored. Note that censoring takes place here progressively in m stages. Clearly, this scheme includes as special cases the complete sample situation (when m = nand Rl = . . . = Rm = 0) and the conventional Type-II right censoring situation (when Rl = . . . = Rm-l = 0 and Rm = n - m) |
| Beschreibung: | 1 Online-Ressource (XV, 248 p) |
| ISBN: | 9781461213345 9781461270997 |
| DOI: | 10.1007/978-1-4612-1334-5 |
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Datensatz im Suchindex
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| author | Balakrishnan, N. |
| author_facet | Balakrishnan, N. |
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| bvnumber | BV042419804 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1334-5 |
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| isbn | 9781461213345 9781461270997 |
| language | English |
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| spelling | Balakrishnan, N. Verfasser aut Progressive Censoring Theory, Methods, and Applications by N. Balakrishnan, Rita Aggarwala Boston, MA Birkhäuser Boston 2000 1 Online-Ressource (XV, 248 p) txt rdacontent c rdamedia cr rdacarrier Statistics for Industry and Technology Censored sampling arises in a life-testing experiment whenever the experimenter does not observe (either intentionally or unintentionally) the failure times of all units placed on a life-test. Inference based on censored sampling has been studied during the past 50 years by numerous authors for a wide range of lifetime distributions such as normal, exponential, gamma, Rayleigh, Weibull, extreme value, log-normal, inverse Gaussian, logistic, Laplace, and Pareto. Naturally, there are many different forms of censoring that have been discussed in the literature. In this book, we consider a versatile scheme of censoring called progressive Type-II censoring. Under this scheme of censoring, from a total of n units placed on a life-test, only m are completely observed until failure. At the time of the first failure, Rl of the n - 1 surviving units are randomly withdrawn (or censored) from the life-testing experiment. At the time of the next failure, R2 of the n - 2 -Rl surviving units are censored, and so on. Finally, at the time of the m-th failure, all the remaining Rm = n - m -Rl - . . . - Rm-l surviving units are censored. Note that censoring takes place here progressively in m stages. Clearly, this scheme includes as special cases the complete sample situation (when m = nand Rl = . . . = Rm = 0) and the conventional Type-II right censoring situation (when Rl = . . . = Rm-l = 0 and Rm = n - m) Statistics Mathematical statistics Statistical Theory and Methods Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Statistik Zensierte Stichprobe (DE-588)4292948-9 gnd rswk-swf Statistische Analyse (DE-588)4116599-8 gnd rswk-swf Lebensdauer (DE-588)4034837-4 gnd rswk-swf Lebensdauer (DE-588)4034837-4 s Statistische Analyse (DE-588)4116599-8 s 1\p DE-604 Zensierte Stichprobe (DE-588)4292948-9 s 2\p DE-604 Aggarwala, Rita Sonstige oth https://doi.org/10.1007/978-1-4612-1334-5 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 |
| spellingShingle | Balakrishnan, N. Progressive Censoring Theory, Methods, and Applications Statistics Mathematical statistics Statistical Theory and Methods Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Statistik Zensierte Stichprobe (DE-588)4292948-9 gnd Statistische Analyse (DE-588)4116599-8 gnd Lebensdauer (DE-588)4034837-4 gnd |
| subject_GND | (DE-588)4292948-9 (DE-588)4116599-8 (DE-588)4034837-4 |
| title | Progressive Censoring Theory, Methods, and Applications |
| title_auth | Progressive Censoring Theory, Methods, and Applications |
| title_exact_search | Progressive Censoring Theory, Methods, and Applications |
| title_full | Progressive Censoring Theory, Methods, and Applications by N. Balakrishnan, Rita Aggarwala |
| title_fullStr | Progressive Censoring Theory, Methods, and Applications by N. Balakrishnan, Rita Aggarwala |
| title_full_unstemmed | Progressive Censoring Theory, Methods, and Applications by N. Balakrishnan, Rita Aggarwala |
| title_short | Progressive Censoring |
| title_sort | progressive censoring theory methods and applications |
| title_sub | Theory, Methods, and Applications |
| topic | Statistics Mathematical statistics Statistical Theory and Methods Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Statistik Zensierte Stichprobe (DE-588)4292948-9 gnd Statistische Analyse (DE-588)4116599-8 gnd Lebensdauer (DE-588)4034837-4 gnd |
| topic_facet | Statistics Mathematical statistics Statistical Theory and Methods Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Statistik Zensierte Stichprobe Statistische Analyse Lebensdauer |
| url | https://doi.org/10.1007/978-1-4612-1334-5 |
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