| dbo:description
|
- estimateur statistique (fr)
- non-parametric statistic used to estimate the survival function (en)
- estatística não paramétrica usada para estimar a função de sobrevivência (pt)
- 生存データから生存関数を推定するために用いられるノンパラメトリック統計量 (ja)
|
| dbo:thumbnail
| |
| dbo:wikiPageExternalLink
| |
| dbo:wikiPageWikiLink
| |
| dbp:content
|
- Greenwood's formula is derived by noting that probability of getting failures out of cases follows a binomial distribution with failure probability . As a result for maximum likelihood hazard rate we have and . To avoid dealing with multiplicative probabilities we compute variance of logarithm of and will use the delta method to convert it back to the original variance:
:
using martingale central limit theorem, it can be shown that the variance of the sum in the following equation is equal to the sum of variances:
:
as a result we can write:
:
using the delta method once more:
:
as desired.
---- (en)
|
| dbp:contentstyle
|
- border:1px #C4C3D0 solid; (en)
|
| dbp:header
|
- For a 'sketch' of the mathematical derivation of the equation above, click on "show" to reveal (en)
|
| dbp:titlestyle
|
- background-color:#f2dfce; color:black; (en)
|
| dbp:wikiPageUsesTemplate
| |
| dct:subject
| |
| gold:hypernym
| |
| rdfs:label
|
- Kaplan–Meier estimator (en)
- Estimador de Kaplan-Meier (es)
- Kaplan-Meier-Schätzer (de)
- Kaplan-Meier zenbatesle (eu)
- Estimateur de Kaplan-Meier (fr)
- Stimatore di Kaplan-Meier (it)
- カプラン＝マイヤー推定量 (ja)
- 카플란-마이어 생존분석 (ko)
- Estymator Kaplana-Meiera (pl)
|
| owl:sameAs
| |
| prov:wasDerivedFrom
| |
| foaf:depiction
| |
| foaf:isPrimaryTopicOf
| |
| is dbo:wikiPageRedirects
of | |
| is dbo:wikiPageWikiLink
of | |
| is foaf:primaryTopic
of | |
