The Youden index is a widely used measure in the framework of medical diagnostic, where the effectiveness of a biomarker (screening marker or predictor) for classifying a disease status is studied. When the biomarker is continuous, it is important to determine the threshold or cut-off point to...

The assumption of log-concavity is a flexible and appealing non-parametric shape constraint in distribution modelling. In this work, we study the log-concave maximum likelihood estimator of a probability mass function. We show that the maximum likelihood estimator is strongly consistent and we...

This study examines the effect of feedback on calibration of auditors¡¯ probability judgment. Results from our experiment indicate that auditors¡¯ probability judgments are indeed poorly calibrated and auditors are in general overconfident. In addition, we investigate whether we can use...

As an important extension of the regular kappa statistic, the weighted kappa statistic has been widely used to assess the agreement between two procedures for independent matched-pair ordinal data. For clustered matched-pair ordinal data, based on the delta method and sampling techniques, a...

Motivated by the recent advances in the kappa statistic for the clustered physician–patients dichotomous data, we extend the development for the polytomous data. For the clustered physician–patients polytomous data, based on its special correlation and covariance structure, we propose a...

This paper introduces a new confidence interval (CI) for the autoregressive parameter (AR) in an AR(1) model that allows for conditional heteroskedasticity of general form and AR parameters that are less than or equal to unity. The CI is a modification of Mikusheva's (2007a) modification of...

This paper explores confidence intervals for the family of proportional reversed hazard distributions based on lower record values. The confidence intervals are validated as long as the sample is of size n≥3. The proposed procedure can be extended to the family of proportional hazard...

Confidence interval construction for the Youden index of a diagnostic test based on partially validated series with dichotomous response is considered in this article. Using the Wald and Agresti-Coull, the Wilson score, logit-transformation and the method of variance estimates recovery, eight...

We consider simple Markovian games, in which several states succeed each other over time, following an exogenous discrete-time Markov chain. In each state, a different simple static game is played by the same set of players. We investigate the approximation of the Shapley–Shubik power index in...