# Bayesian survival analysis based on the Rayleigh model.

Samir K. Bhattacharya; K. Tyagi Ravinder

Trabajos de Estadística (1990)

- Volume: 5, Issue: 1, page 81-92
- ISSN: 0213-8190

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topBhattacharya, Samir K., and Ravinder, K. Tyagi. "Bayesian survival analysis based on the Rayleigh model.." Trabajos de Estadística 5.1 (1990): 81-92. <http://eudml.org/doc/40536>.

@article{Bhattacharya1990,

abstract = {In this paper, the Bayesian analysis of the survival data arising from a Rayleigh model is carried out under the assumption that the clinical study based on n patients is terminated at the dth death, for some preassigned d (0 < d ≤ n), resulting in the survival times t1 ≤ t2 ≤ ... ≤ td, and (n - d) survivors. For the prior knowledge about the Rayleigh parameter, the gamma density, the inverted gamma density, and the beta density of the second kind are respectively assumed, and for each of these prior densities, the Bayes estimators of the mean survival time, the hazard function, and the survival function are obtained by assuming the usual squared error loss function. Finally, the analysis is extended to situations wherein the exact survival time is not available for any patient but only the deaths in given time intervals are recorded. The computations are illustrated by a numerical example.},

author = {Bhattacharya, Samir K., Ravinder, K. Tyagi},

journal = {Trabajos de Estadística},

keywords = {Análisis bayesiano; Ensayo clínico; Análisis de supervivencia; Modelos estadísticos; Bayesian posterior density; closure property of the natural conjugate prior; confluent hypergeometric function; modified Bessel function; total squared survival time; survival data; Rayleigh model; clinical study; survival times; gamma density; inverted gamma density; beta density of the second kind; Bayes estimators; mean survival time; hazard function; survival function; squared error loss},

language = {eng},

number = {1},

pages = {81-92},

title = {Bayesian survival analysis based on the Rayleigh model.},

url = {http://eudml.org/doc/40536},

volume = {5},

year = {1990},

}

TY - JOUR

AU - Bhattacharya, Samir K.

AU - Ravinder, K. Tyagi

TI - Bayesian survival analysis based on the Rayleigh model.

JO - Trabajos de Estadística

PY - 1990

VL - 5

IS - 1

SP - 81

EP - 92

AB - In this paper, the Bayesian analysis of the survival data arising from a Rayleigh model is carried out under the assumption that the clinical study based on n patients is terminated at the dth death, for some preassigned d (0 < d ≤ n), resulting in the survival times t1 ≤ t2 ≤ ... ≤ td, and (n - d) survivors. For the prior knowledge about the Rayleigh parameter, the gamma density, the inverted gamma density, and the beta density of the second kind are respectively assumed, and for each of these prior densities, the Bayes estimators of the mean survival time, the hazard function, and the survival function are obtained by assuming the usual squared error loss function. Finally, the analysis is extended to situations wherein the exact survival time is not available for any patient but only the deaths in given time intervals are recorded. The computations are illustrated by a numerical example.

LA - eng

KW - Análisis bayesiano; Ensayo clínico; Análisis de supervivencia; Modelos estadísticos; Bayesian posterior density; closure property of the natural conjugate prior; confluent hypergeometric function; modified Bessel function; total squared survival time; survival data; Rayleigh model; clinical study; survival times; gamma density; inverted gamma density; beta density of the second kind; Bayes estimators; mean survival time; hazard function; survival function; squared error loss

UR - http://eudml.org/doc/40536

ER -

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