background : so far, several studies were conducted to estimate the prevalence of cigarette smoking in iran, but none of them used a statistical model to deal with unobserved smokers. the present study planned to estimate the accurate prevalence of cigarette smoking using mixture of truncated poisson distribution. methods : a cross-sectional study was conducted in hamadan, west of iran in 2009,...

the purpose of this paper is to provide some asymptotic results for nonparametric estimator of the lorenz curve and lorenz process for the case in which data are assumed to be strong mixing subject to random left truncation. first, we show that nonparametric estimator of the lorenz curve is uniformly strongly consistent for the associated lorenz curve. also, a strong gaussian approximation for ...

We detail the basic theory for regression models in which dependent variables are censored or underlying distributions are truncated. The model is extended to models for counts, sample selection models, and models hazard models for duration data. Entry level theory is presented for the practitioner. We then describe a few of the recent, frontier developments in theory and practice. To appear as...

Non-parametric estimation for a linear regression model under random double-truncation is investigated, i.e. the variables are observed if and only dependent variable lies in interval. The method requires weak distribution assumptions to ensure identifiability, but does not require any specific family variable, neither truncation nor error term. By using non-parametric estimators of several fun...

In this paper we build on previous work for estimation of the bivariate distribution of the time variables T1 and T2 when they are observable only on the condition that one of the time variables, say T1, is greater than (left-truncation) or less than (right truncation) some observed time variable C1. In this paper, we introduce several results based on the Influence Curve (which we derive in th...