The book Replacement Models in Reliability is mainly intended for researchers in Applied Statistics and also for those interested in Stochastic Replacement Models. The aim of this book is to present Reliabilistic Replacement Models in a simple but precise context. This book presents the state-of-the-art in replacement models in reliability. Topics in replacement models include burn-in, warranty and maintenance. Special focus is given, where the repair times are non-negligible. Two dimensional version of the geometric process and the quasi renewal process have been developed and their...

This book, Multivariate Stochastic Maintenance Models deals with developing explicit expressions for the cost structures of several deteriorating systems. Deteriorating systems subject to different types of shocks are considered. Systems with general repair are considered and replacement policies have been presented. Comparison of the policies have also been made. This book is intended for researchers in manufacturing engineering, industrial engineering and engineering management programs.

This book Bivariate Ageing Classes and their Properties gives the definitions of the bivariate stochastic ageing classes of life time distributions and their respective duals. Some new classes of the bivariate stochastic ageing classes are introduced. Discrete version is also presented. Stochastic properties such as convolution, preservation under Poisson shock models of almost all the bivariate stochastic ageing classes are given. Convolution and Preservation of the bivariate stochastic ageing classes and their duals are presented. Moment inequalities have been determined. Moment...

Intuitionistic Fuzzy Sets of Cube Root Type is introduced in this book. It deals with the properties of the newly defined sets. Several topological operators are developed. The operators:Necessity, Possibility, Topological closure, Topological interior are defined and their relation over IFSCRT are discussed. Modal operators are also developed. Interval valued Intuitionistic Fuzzy Sets of Cube Root Type is a new direction in this field. Real time applications to diagnostic medicine and pattern recognition using a newly developed similarity measure are presented. This book is intended for...