arXiv subjects

Odile Pons

Publications and source records attributed to Odile Pons.

3 recordsLinked to original sources

arXiv2007

Regression for partially observed variables and nonparametric quantiles of conditional probabilities

Efficient estimation under bias sampling, censoring or truncation is a difficult question which has been partially answered and the usual estimators are not always consistent. Several biased designs are considered for models with variables $(X,Y)$ where $Y$ is an indicator and $X$ an explanatory variable, or for continuous variables $(X,Y)$. The identifiability of the models are discussed. New nonparametric estimators of the regression functions and conditional quantiles are proposed.

math.ST↗

arXiv2007

Inference in nonparametric current status models with covariates

In interval censored models with current status observations, the variables are indicators of the presence of individuals on observation intervals and covariates. When several individuals share the same observation interval, a simple procedure provides new estimators for the distribution of the observation times and their intensity, in a closed form. They are $n^{1/2}$-consistent for piece-wise constant covariates. Estimators of the sample-sizes are deduced and asymptotic $χ^2$ tests for independence of the observations on consecutive intervals and for independence between consecutive classes for the observed individuals are proposed.

math.ST↗

arXiv2007

Bootstrap of means under stratified sampling

In a two-stage cluster sampling procedure, $n$ random populations are drawn independently from independent populations and a sub-sample of observations is taken in each of them. The estimator of the general mean of the observed variables is asymptotically Gaussian and the asymptotic distributions of several bootstrap versions of the normalized and studentized statistics are studied. A weighted population resampling provides a good approximation and its accuracy depends on the convergence rate of the sample size of the populations.

math.ST↗