The justification for making a measurement can be sought in asking what decisions are based on measurement, such as assessing the compliance of quality characteristic an entity relation to specification limit, SL. relative performance testing devices and classification algorithms used is often evaluated using venerable ever popular receiver operating (ROC). However, ROC tool has potentially all...

The purpose of this paper is to show that ideas and techniques of the homotopy continuation method can be used to find the complete set of eigenpairs of a symmetric matrix. The homotopy defined by Chow, Mallet- Paret and York [I] may be used to solve this problem with 2""-n curves diverging to infinity which for large n causes a great inefficiency. M. Chu 121 introduced a homotopy equation...

A new semiparameteric model of the receiver operating characteristic (ROC) curve based on resilience family or proportional reversed hazard is proposed, which an alternative to existing models. The resulting ROC and its summary indices (such as area under Youden index) have simple analytic forms. partial likelihood method applied estimate curve. Moreover, estimation methodologies been developed...