Theory and Methods of Statistics

Theory and Methods of Statistics covers essential topics for advanced graduate students and professional research statisticians. This comprehensive resource covers many important areas in one manageable volume, including core subjects such as probability theory, mathematical statistics, and linear models, and various special topics, including nonparametrics, curve estimation, multivariate analysis, time series, and resampling. The book presents subjects such as Maximum Likelihood and Sufficiency, and is written with an intuitive, heuristic approach to build reader comprehension. It also includes many probability inequalities that are not only useful in the context of this text, but also as a resource for investigating convergence of statistical procedures. * Codifies foundational information in many core areas of statistics into a comprehensive and definitive resource* Appropriate for select master's program use as well as for PhD programs and professional reference* Integrates numerous examples to illustrate advanced concepts* Includes many probability inequalities useful for investigating convergence of statistical procedures.