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Aplicación del método de regresión de Gehan y Siddiqui y el test de la F de Cox en el análisis de datos de supervivencia.

Juan J. Tarin, José Luis Mensua (1989)

Qüestiió

Este trabajo muestra algunas de las posibilidades de la estadística paramétrica en el análisis de datos de supervivencia en el campo de la toxicología y genética de poblaciones.La aplicación del método de regresión de Gehan y Siddiqui ha proporcionado un buen ajuste de los datos de supervivencia a una de las 4 distribuciones que contempla este método (Exponencial, Weibull, Gompertz y Exponencial lineal) en el 81% de los casos y de éstos en el 74% se han ajustado a una distribución Exponencial, mientras...

Comparación de curvas de supervivencia gamma estocásticamente ordenadas.

José D. Bermúdez Edo, Eduardo Beamonte Córdoba (2000)

Qüestiió

En este trabajo se propone un análisis de supervivencia basado en un modelo Gamma. Se obtienen las condiciones teóricas bajo las cuales dos funciones de supervivencia Gamma están estocásticamente ordenadas. Estos resultados se utilizan para proponer un método sencillo que permite comparar dos poblaciones cuando, a priori, se conoce que sus curvas de supervivencia están estocásticamente ordenadas. Los resultados se ejemplifican con el análisis de un banco de datos reales sobre tiempos de desempleo....

Dynamic dependence ordering for Archimedean copulas and distorted copulas

Arthur Charpentier (2008)

Kybernetika

This paper proposes a general framework to compare the strength of the dependence in survival models, as time changes, i. e. given remaining lifetimes X , to compare the dependence of X given X > t , and X given X > s , where s > t . More precisely, analytical results will be obtained in the case the survival copula of X is either Archimedean or a distorted copula. The case of a frailty based model will also be discussed in details.

Hazard rate model and statistical analysis of a compound point process

Petr Volf (2005)

Kybernetika

A stochastic process cumulating random increments at random moments is studied. We model it as a two-dimensional random point process and study advantages of such an approach. First, a rather general model allowing for the dependence of both components mutually as well as on covariates is formulated, then the case where the increments depend on time is analyzed with the aid of the multiplicative hazard regression model. Special attention is devoted to the problem of prediction of process behaviour....

Local linear estimation of the conditional mode under left truncation for functional regressors

Halima Boudada, Sarra Leulmi (2023)

Kybernetika

In this work, we introduce a local linear estimator of the conditional mode for a random real response variable which is subject to left-truncation by another random variable where the covariate takes values in an infinite dimensional space. We first establish both of pointwise and uniform almost sure convergences, with rates, of the conditional density estimator. Then, we deduce the strong consistency of the obtained conditional mode estimator. We finally illustrate the outperformance of our method...

On useful schema in survival analysis after heart attack

Czesław Stępniak (2014)

Discussiones Mathematicae Probability and Statistics

Recent model of lifetime after a heart attack involves some integer coefficients. Our goal is to get these coefficients in simple way and transparent form. To this aim we construct a schema according to a rule which combines the ideas used in the Pascal triangle and the generalized Fibonacci and Lucas numbers

Symmetric models for lifetimes: the role of exchangeable equivalence relations

Anna Gerardi, Barbara Torti (2003)

Bollettino dell'Unione Matematica Italiana

A model of a heterogeneous population partitioned into a finite number of classes according an exchangeable equivalence relation is studied. With this motivation the properties of exchangeable equivalence relations are investigated and, in particular, the structure of its equivalence classes is characterized.

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