Control percentile test procedures for censored data

Relative Density Estimation with Censored Data

“…The focus in the present paper is on the case where the two independent samples are randomly right-censored, which is a very common situation in biostatistical applications. Gastwirth & Wang (1988) give an asymptotic normality result for an estimator similar to (2) but based on the Kaplan-Meier estimators rather than on the classical empirical distribution functions.…”

Relative Distribution Methods in the Social Sciences

“…The natural estimator of G(r) is Cao, et al (1999) note that this is just the product-limit estimator of G(r) based on the censored quasirelative data: Gastwirth and Wang (1988) obtained the generalization of the result (9.17) to this setting:…”

Empirical-likelihood-based semiparametric inference for the treatment effect in the two-sample problem with censoring

“…Alternatively, one may wish to consider the probability of one treatment being better than the other, which is equivalent to considering the survival competition probability, so that Δ = pr(X < Y) or Δ = pr(X > Y), or to compare the probability of death before a given time t 0 in survival analysis, so that Δ = pr (X < t 0 ) − pr(Y < t 0 ).When X and Y are both sampled from parametric families, standard statistical approaches such as maximum likelihood can be used (Brownie et al, 1986;Campbell & Ratnarkhi, 1993;Goddard & Hinberg, 1990;Hsieh & Turnbull, 1996). There are also many nonparametric approaches for comparing the two unknown continuous distributions F and G of X and Y , respectively, based on independent samples; see for example Gastwirth & Wang (1988), Hollander & Korwar (1982), and Li et al (1996).…”