This study deals with simple Constant Stress Partially Accelerated life test (CSPALT) using type-I censoring. The lifetime distribution of the test item is assumed to follow Gompertz distribution. The Maximum Likelihood (ML) Estimation is used to estimate the distribution parameters and acceleration factor. Asymptotic confidence interval estimates of the model parameters are also evaluated by u...

With changing the age distribution at the time of cancer diagnosis, the administrative censoring due to study end may be informative. This problem has been mentioned frequently in the relative survival field, and an estimator aiming to correct this problem has been developed. In this paper, we review the existing methods for estimation in relative survival, demonstrate their deficiencies, and p...

We consider the ways in which adaptive allocation is altered when some of the observations become unavailable. Such “missing outcomes” are a strong form of censoring. The problems analyzed involve adaptive sampling from two Bernoulli populations. Both fully sequential designs and fewstage designs are examined. For each type of design, we developed an algorithm to determine the optimal design. P...

We consider a failure hazard function, conditional on a time-independent covariate Z, given by ηγ0(t)fβ0(Z). The baseline hazard function ηγ0 and the relative risk fβ0 both belong to parametric families with θ = (β, γ0)> ∈ R. The covariate Z has an unknown density and is measured with an error through an additive error model U = Z + ε where ε is a random variable, independent from Z, with known...

This paper describes existing methods and develops new methods for constructing simultaneous confidence bands for a cumulative distribution function (cdf). Our results are built on extensions of previous work by Cheng and Iles (1983, 1988). Cheng and Iles use Wald statistics with (expected) Fisher information and provide different approaches to find one-sided and two-sided simultaneous confiden...

Abstract. In the model of progressive type II censoring, point and interval estimation as well as relations for single and product moments are considered. Based on two-parameter exponential distributions, maximum likelihood estimators (MLEs), uniformly minimum variance unbiased estimators (UMVUEs) and best linear unbiased estimators (BLUEs) are derived for both location and scale parameters. So...