Based on the fractal dimension, the tri-plots can classify two large and not equal sizes of the time series datasets. The tri-plots measure three function values which include two self-plots and one cross-plot. The self-plot affords the character of one individual dataset. The cross-plot describes the relation between two datasets. Originally, the tri-plots just can get the relation in two data...

In this paper, inference on parameter estimation of the generalized Rayleigh distribution are investigated for progressively type-I interval censored samples. The estimators of distribution parameters via maximum likelihood, moment method and probability plot are derived, and their performance are compared based on simulation results in terms of the mean squared error and bias. A case applicati...

Technologies to Detect Glaucomatous Visual Field Damage There are several ways to identify glaucomatous defects from standard automated perimetry (SAP) print outs (Figure 1). Firstly, inspect sensitivity thresholds at each test point. It is not particularly useful to identify defects, because these values are not age-corrected. In older patients low thresholds could be attribdepression that cou...

A new lifetime distribution capable of modeling a bathtub-shaped hazard-rate function is proposed. The proposed model is derived as a limiting case of the Beta Integrated Model and has both the Weibull distribution and Type I extreme value distribution as special cases. The model can be considered as another useful 3-parameter generalization of the Weibull distribution. An advantage of the mode...

The univariate quantile-quantile (Q-Q) plot is a well-known graphical tool for examining whether two data sets are generated from the same distribution or not. It is also used to determine how well a specified probability distribution fits a given sample. In this article, we develop and study a multivariate version of Q-Q plot based on spatial quantiles. The usefulness of the proposed graphical...

Traditionally, statistical summaries of categorical data often have been visualized using graphical plots of central moments (e.g., mean and standard deviation), or cumulants (e.g., median and quartiles) by box plots. In this work we reexamine the box plot and its relatives and develop a new hybrid summary plot that combines moment, cumulant, and density information. In view of the important ro...

This vignette is intended to give a short introduction into the methods of the qualityTools package. The qualityTools package contains methods associated with the Define Measure Analyze Improve and Control (i.e. DMAIC) problem solving cycle of the Six Sigma Quality Management methodology. Usage of these methods is illustrated with the help of artificially created datasets. • Define: Pareto Char...

The area under the receiver operating characteristic curve is a widely used index to characterize the performance of diagnostic tests and prediction models. However, the index does not explicitly acknowledge the utilities of risk predictions. Moreover, for most clinical settings, what counts is whether a prediction model can guide therapeutic decisions in a way that improves patient outcomes, r...

OBJECTIVE In this study, the capability of statistical analysis indices to characterize static automated visual fields (VFs) accurately in cases of far-advanced glaucoma was assessed. DESIGN Retrospective observational case series. PARTICIPANTS Sixteen eyes of 15 patients with end-stage glaucoma and evidence of collapse of VF statistical analysis indices were included in the study. METHOD...