Statistical models and methods for reliability and survival analysis. In honor of M.S. Nikulin
Statistical Models and Methods for Reliability and Survival Analysis is a volume of contributions by specialists in statistical theory and their applications that provide up-to-date developments in methods used in survival analysis, statistical goodness of fit, stochastic processes for system reliability among others. Many of them are related to the work of Professor M. Nikulin in statistics for thirty years. The contributors accepted this challenging project to gather various contributions with a wide broad of techniques and results, all of them in the topics of the past S2MRSA conference dedicated to M. Nikulin for his twentieth anniversary as a Professor in the Bordeaux Segalen University. The book is intended for researchers interested in statistical methodology and models useful in survival analysis, system reliability and statistical testing for censored and non censored data.
We consider the transformation of the weighted statistics using its components. These statistics allow you to change in the test the sensivity of amplitudes and frequences of derivations from the hypothetical distributions. The collection of Karhunen-Loeve expansions is considered.We discuss also the statistics based on the components. Two new forms of the statistics are considered.