The Receiver Operating Characteristic (ROC) Curve originated during Second World War to analyse radar signals by observing the relationship between signal and noise [1]. The framework of ROC Curve has a wide spread of interdisciplinary applications such as human perception, decision making [2], industrial quality control [3], military monitoring [4] etc. In later years, the applications of ROC ...

This paper uses the concept of characterized model for bivariate extensions of univariate life distributions based on mean residual life properties. Different bivariate distributions can be generated from different choices of marginal distributions. The retention of univariate IMRL, DMRL, NBUE, NWUE, HNBUE and HNWUE class properties in the bivariate setup has been ensured along with results of ...

K. Almond*, P. Bikker, M. Lomax, M. E. Symonds and A. Mostyn Academic Division of Child Health, School of Clinical Sciences, E floor East Block, University Hospital, Nottingham NG7 2UH, UK Division of Nutritional Sciences, School of Biosciences, North Lab, University of Nottingham, Sutton Bonnington Campus, Loughborough LE12 5RD, UK Schothorst Feed Research, Lelystad, The Netherlands School of ...

This paper introduces a new four-parameter distribution called the exponentiated Gompertz generated inverted exponential (EGGIE) distribution. Explicit expressions of structural properties such as ordinary and incomplete moments, probability weighted quantile function, Lorenz Bonferroni curves, entropies, order statistics are derived. The empirical findings indicate that maximum likelihood proc...

In this study, we look at how to estimate stress–strength reliability models, R1 = P (Y < X) and R2 X), where the strength X stress Y have same distribution in first model, R1, Z different distributions second R2. Based on are assumed Lomax distributions, whereas, both inverse respectively. With assumption that variables models independent, median-ranked set sampling (MRSS) strategy is used ...