The main purpose of this book is to construct new models for the breast cancer survival data. The main area of the study is Survival Analysis. Survival analysis is one of the oldest fields of statistics. Survival analysis is about the analysis of actual survival in the true sense of the word, that is death rate or mortality. A major advance in the survival analysis took place few decades ago. Survival time is defined as the time to the occurrence of a given event. This event can be the development of a disease, response to a treatment, relapse or death. The main focus of this work is on regression problems with survival data and also estimating the regression coefficients and its distributional shapes with the presence of censoring. The censored database used in this work is real time data collected from cancer registries in Chennai, Tamil Nadu, India. It deals with modeling and analysis of breast cancer data that have an endpoint.