depending on the location of the sample points. In this paper‎, we initially introduce the k-nearest neighbor kernel density estimator in the random left-truncation model, and then prove some of its asymptotic behaviors...

In this pap er we study uniform versions of the two limit theorems in random left

uncation mo del (RLTM). The law of large numb ers (LLN) and the central limit theorem

CLT) have b een obtained under the ...

In this paper we derive a Berry-Esseen type bound for the kernel density estimator of a random left truncated model, in which each datum ( Y ) is randomly left truncated and it is sampled if Y ≥ T , where T is the truncation random variable...

In many applications, the available data come from a sampling scheme that causes

loss of information in terms of left truncation. In some cases, in addition to left

truncation, the data are weakly dependent. In this paper we...

Estimation of a survival function and its asymptotic behaviors under random left truncation and right censor model had been extensively studied in the five past decades. In application, the assumption of independence between cases is often not true...

In some long term studies, a series of dependent and possibly

truncated lifetimes may be observed. Suppose that the lifetimes

have a common marginal distribution function. In the

left-truncation model, one observes data (X...

‎Estimation based on the left-truncated and right randomly censored data arising from a general family of distributions is considered‎. ‎In the‎

‎special case‎, ‎when the random variables satisfy a proportional hazard model‎, ‎the maximum...

Non-parametric estimation of a survival function from left truncated data subject to right censoring has been extensively studied in the literature. It is commonly assumed in such studies that the lifetime variables are a sample of independent...