About: Nonparametric survival analysis of epidemic data

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An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Nonparametric survival analysis of epidemic data
Creator	Kenah, Eben
Source	ArXiv
abstract	This paper develops nonparametric methods for the survival analysis of epidemic data based on contact intervals. The contact interval from person i to person j is the time between the onset of infectiousness in i and infectious contact from i to j, where we define infectious contact as a contact sufficient to infect a susceptible individual. We show that the Nelson-Aalen estimator produces an unbiased estimate of the contact interval cumulative hazard function when who-infects-whom is observed. When who-infects-whom is not observed, we average the Nelson-Aalen estimates from all transmission networks consistent with the observed data using an EM algorithm. This converges to a nonparametric MLE of the contact interval cumulative hazard function that we call the marginal Nelson-Aalen estimate. We study the behavior of these methods in simulations and use them to analyze household surveillance data from the 2009 influenza A(H1N1) pandemic. In an appendix, we show that these methods extend chain-binomial models to continuous time.
has issue date	2011-04-21(xsd:dateTime)
bibo:doi	10.1111/j.1467-9868.2012.01042.x
has license	arxiv
sha1sum (hex)	8ef81fee8eb8b394eb6d6530ad81144a46a1af32
schema:url	https://doi.org/10.1111/j.1467-9868.2012.01042.x
resource representing a document's title	Nonparametric survival analysis of epidemic data
resource representing a document's body	covid:8ef81fee8eb8b394eb6d6530ad81144a46a1af32#body_text
is schema:about of	named entity 'paper' named entity 'estimate' named entity 'behavior' named entity 'data' named entity 'data' named entity 'MLE' named entity 'CONSISTENT WITH' named entity 'WHERE' named entity 'networks' named entity 'cumulative' named entity 'observed' named entity 'marginal' named entity 'nonparametric' named entity 'contact' named entity 'observed' named entity 'converges' named entity 'EM algorithm' named entity 'models' named entity 'survival analysis' named entity 'susceptible individual' named entity 'data based' named entity 'nonparametric methods' named entity 'epidemic' named entity 'Nonparametric' named entity 'probability' named entity 'hazard function' named entity 'zero-mean' named entity 'hazard function' named entity 'nasopharyngeal swabs' named entity 'probability' named entity 'Aalen' named entity 'data collected' named entity 'vector' named entity 'variance' named entity 'epidemic' named entity 'symptom' named entity 'cross-validation' named entity 'EM algorithm' named entity 'coverage probabilities' named entity 'latent period' named entity 'survival analysis' named entity 'algorithm' named entity 'nonparametric' named entity 'hazard functions' named entity 'infection' named entity 'incubation period' named entity 'survival function' named entity 'probability' named entity 'Kaplan-Meier' named entity 'infectious disease epidemiology' named entity 'MLE' named entity 'infection' named entity 'smoothing spline' named entity 'epidemics' named entity 'Kenah' named entity 'variance' named entity 'epidemic' named entity 'product integral' named entity 'Kaplan-Meier' named entity 'vector' named entity 'vector' named entity 'standard normal distribution' named entity 'hazard function' named entity 'log likelihood' named entity 'continuous time' named entity 'epidemic' named entity 'variance' named entity 'hazard function' named entity 'survival function' named entity 'Statistical methods' named entity 'coverage probabilities' named entity 'algorithm' named entity 'expectation-maximization (EM) algorithm' named entity 'nonparametric' named entity 'Cox proportional hazards model' named entity 'symptom' named entity 'hazard functions' named entity 'binomial models' named entity 'H1N1' named entity 'probability' named entity 'pH1N1' named entity 'Kaplan-Meier' named entity 'Kaplan-Meier' named entity 'infection' named entity 'latent period'

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