Abstract Statistical inferences of the parameters included in a competing risks model are presented. It is assumed here that the causes of failures may occur at times that follow modified Weibull distributions. The case of Weibull distributions can be derived as special case of the problem studied in this paper. The maximum likelihood procedure is used to get the point estimations and asymptoti...

Choose the Cox proportional hazards regression model if the values in your dependent variable are duration observations. The advantage of the semi-parametric Cox proportional hazards model over fully parametric models such as the exponential or Weibull models is that it makes no assumptions about the shape of the baseline hazard. The model only requires the proportional hazards assumption that ...

Various characterizations of the well-known modified Weibull and log-modified Weibull distributions are presented. These characterizations are based on a simple relationship between two truncated moments; on the hazard function and on functions of the order statistics. Zusammenfassung: Diverse Charakteristika der gut bekannten modifizierten Weibull und log-modifizierten Weibull Verteilungen wer...

BACKGROUND We estimated the chronic rejection of kidney transplant using an eternal Weibull regression. METHODS In this historical cohort study, we enrolled all patients with chronic renal failure who were admitted to Shahid Labbafinejad medical center (Tehran, Iran) from 1984 to 2003. Using Matlab 7.0, we considered the eternal proportion theta, as a logistic-type function of the covariates ...

In this paper, we introduce a new class of distributions by compounding the exponentiated extended Weibull family and power series family. This distribution contains several lifetime models such as the complementary extended Weibull-power series, generalized exponential-power series, generalized linear failure rate-power series, exponentiated Weibull-power series, generalized modified Weibull-p...

Choose the Cox proportional hazards regression model if the values in your dependent variable are duration observations. The advantage of the semi-parametric Cox proportional hazards model over fully parametric models such as the exponential or Weibull models is that it makes no assumptions about the shape of the baseline hazard. The model only requires the proportional hazards assumption that ...

In this paper, we propose a new parametric distribution which called as the Beta Modified Weibull Power Series (BMWPS) distribution. This distribution is obtained by compounding Beta Modified Weibull (BMW) and power series distributions. BMWPS distribution contains, as special sub-models, such as Beta Modified Weibull Poisson (BMWP) distribution, Beta Modified Weibull Geometric (BMWG) distribut...

Least squares regression based on probability plots, also called rank regression, can be used to estimate the parameters of some distributions. Regression is performed between a function of the empirical distribution function and the order statistic as the independent variable. Using large sample properties of the empirical distribution function and order statistics, weights to stabilize the va...

Introduction 1 1. Definition and estimation of Sobol indices 2 1.1. Exact model 2 1.2. Estimation of S 3 2. Asymptotic properties: exact model 4 2.1. Consistency and asymptotic normality 4 2.2. Asymptotic efficiency 6 3. Asymptotic properties: metamodel 8 3.1. Metamodel-based estimation 8 3.2. Consistency and asymptotic normality 8 3.3. Asymptotic efficiency 11 4. Numerical illustrations 12 4.1...