Recently, progressive hybrid censoring schemes have become quite popular in a life-testing problem and reliability analysis. However, the limitation of the progressive hybrid censoring scheme is that it cannot be applied when few failures occur before time T . Therefore, a generalized progressive hybrid censoring scheme was introduced. In this paper, the estimation of the entropy of a two-param...

HERE WE PRESENT the likelihood function used to estimate the parameters of the demand model. The model can be thought of as a system of four “standard” equations: (i) a tobit down payment equation (with censoring at the minimum down), (ii) a probit purchase equation, (iii) a tobit repayment equation (with censoring at full payment or at the end of our sample), and (iv) a linear price negotiatio...

The kernel smoothed Nelson–Aalen estimator has been well investigated, but is unsuitable when some of the censoring indicators are missing. A representation introduced by Dikta, however, facilitates hazard estimation when there are missing censoring indicators. In this article, we investigate (i) a kernel smoothed semiparametric hazard estimator and (ii) a kernel smoothed “pre-smoothed” Nelson ...

New bivariate survival function estimators are proposed in the case where the dependence relationship between the censoring variables are modelled. Specific examples include the cases when censoring variables are univariate, mutually independent or specified by a marginal model. Large sample properties of the proposed estimators are discussed. The finite sample performance of the proposed estim...

Survival times of patients can be compared using rank tests in various experimental setups, including the two-sample case and t h e cnse of paired dnta. Attention is focussed on two frequently occurring complications in medical applications: censoring and tail alternatives. A review is given of the author’s recent work on a new and simple class of censored rank test:. Various models for tail nl...

Semiparametric methods are well established for the analysis of a progressive Markov illness-death process observed up to a noninformative right censoring time. However, often the intermediate and terminal events are censored in different ways, leading to a dual censoring scheme. In such settings, unbiased estimation of the cumulative transition intensity functions cannot be achieved without so...

Abstract: This paper considers the estimation problem for the Burr type-X, when the lifetimes are collected under Type-II progressive censoring with random removals, where the number of units removed at each failure time follows a binomial distribution. We use the methods of maximum likelihood as well as the Bayes procedure to derive both point and interval estimators of the parameters. The exp...

The Negative Selection Algorithm (NSA) is a kind of anomaly detection method inspired by the biological self/nonself discrimination principles. In this paper, we propose two new schemes for the detectors re-editing and censoring in the NSA. The detectors that fail to pass the negative selection phase are re-edited and updated to become qualified using the Differential Evolution (DE) method. In ...

Longitudinal data frequently occur in many studies, such as longitudinal follow-up studies. To develop statistical methods and theory for the analysis of these data, independent or noninformative observation and censoring times are typically assumed, which naturally leads to inference procedures conditional on observation and censoring times. But in many situations this may not be true or reali...

In this paper methods for nding the non{parametric maximum likelihood estimate (NPMLE) of the distribution function of time to event data will be presented. The basic approach is to use graph theory (in particular intersection graphs) to simplify the problem. Censored data can be represented in terms of their intersection graph. Existing combinato-rial algorithms can be used to nd the important...