Selection of an optimal estimator typically relies on either supervised training samples (pairs of measurements and their associated true values) or a prior probability model for the true values. Here, we consider the problem of obtaining a least squares estimator given a measurement process with known statistics (i.e., a likelihood function) and a set of unsupervised measurements, each arising...

In this paper, we establish some properties of the estimate for distance ratio of domain in two special continuous distributions and find the unbiased estimate and the asymptotic distribution. Mathematics Subject Classification: 62D05

OBJECTIVE Randomised controlled trials (RCTs) are often considered as the gold standard for assessing new health interventions. Patients are randomly assigned to receive an intervention or control. The effect of the intervention can be estimated by comparing outcomes between groups, whose prognostic factors are expected to balance by randomisation. However, patients' non-compliance with their a...

Non-destructive identification and subsequent age estimation of blood stains are significant steps in forensic casework. The latter can provide important information on the temporal aspects of a crime. As previously shown, visible spectroscopy of blood stains on white backgrounds can successfully be used for their identification and age estimation. The use of this technique however, is hampered...

The medical research community is fairly unanimous in its agreement that Btranslating scientific discoveries^ and Btranslating research findings^ is important, but achieving translation remains a challenge [1]. There exists a research literature on strategies for knowledge dissemination or transfer [2]. In comparison, an equally important aspect of translation, the incorporation of research fin...

Background and objective Many guidelines for clinical decisions are hierarchical and non-linear. Evaluating if these guidelines are used in practice requires methods that can identify such structures and thresholds. We use classification and regression trees (CART) to analyse prescribing patterns of Australian General Practitioners (GPs) for the primary prevention of cardiovascular disease. Our...

Consider a non-standard parametric estimation problem, such as the estimation of the AR(1) coefficient close to the unit root. We develop a numerical algorithm that determines an estimator that is nearly (mean or median) unbiased, and among all such estimators, comes close to minimizing a weighted average risk criterion. We demonstrate the usefulness of our generic approach by also applying it ...