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#### Nonparametric estimation of hazard functions and their derivatives under truncation model

(Kluwer Academic Publishers, 1993)

Nonparametric kernel estimators for hazard functions and their derivatives are considered under the random left truncation model. The estimator is of the form of sum of identically distributed but dependent random variables. ...

#### Covariance function of a bivariate distribution function estimator for left truncated and right censored data

(Institute of Statistical Science, Academia Sinica, 1998)

In left truncation and right censoring models one observes i.i.d. samples from the triplet (T, Z, δ) only if T ≤ Z, where Z = min(Y, C) and δ is one if Z = Y and zero otherwise. Here, Y is the variable of interest, T is ...

#### Bivariate estimation with right-truncated data

(Taylor & Francis, 1996)

Bivariate estimation with survival data has received considerable attention recently; however, most of the work has focused on random censoring models. Another common feature of survival data, random truncation, is considered ...

#### Bivariate distribution and the hazard functions when a component is randomly truncated

(Elsevier, 1997-01)

In random truncation models one observes the i.i.d. pairs (Ti≤Yi), i=1, ..., n. If Y is the variable of interest, then T is another independent variable which prevents the complete observation of Y and random left truncation ...

#### Weak and strong quantile representations for randomly truncated data with applications

(Elsevier, 1993-05-26)

Suppose that we observe bivariate data (X,. q) only when Y, < Xi (left truncation). Denote with F the marginal d.f. of
the X’s In this paper we derive a Bahadur-type representation for the quantile function of the pertaining ...

#### Variance of the bivariate density estimator for left truncated right censored data

(Elsevier, 1999)

In this study the variance of the bivariate kernel density estimators for the left truncated and right censored (LTRC) observations are considered. In LTRC models, the complete observation of the variable Y is prevented ...

#### On the Hajek projection for truncated and censored data

(Scientific Publishers, 1993)

Large sample properties of the product-limit estimators for truncated or censored data are usually achieved via the empirical cumulative hazard function estimators. Hajek projection of the empirical cumulative hazard ...