Moment Generating And Characteristic Functions

A Modern Approach to Probability Theory

Overview This book is intended as a textbook in probability for graduate students in math ematics and related areas such as statistics, economics, physics, and operations research. Probability theory is a 'difficult' but productive marriage of mathemat ical abstraction and everyday intuition, and we have attempted to exhibit this fact. Thus we may appear at times to be obsessively careful in our presentation of the material, but our experience has shown that many students find them selves quite handicapped because they have never properly come to grips with the subtleties of the definitions and mathematical structures that form the foun dation of the field. Also, students may find many of the examples and problems to be computationally challenging, but it is our belief that one of the fascinat ing aspects of prob ability theory is its ability to say something concrete about the world around us, and we have done our best to coax the student into doing explicit calculations, often in the context of apparently elementary models. The practical applications of probability theory to various scientific fields are far-reaching, and a specialized treatment would be required to do justice to the interrelations between prob ability and any one of these areas. However, to give the reader a taste of the possibilities, we have included some examples, particularly from the field of statistics, such as order statistics, Dirichlet distri butions, and minimum variance unbiased estimation.

Moment Generating and Characteristic Functions

Basic Statistics

Basic Statistics Covers A Wide Range Of Statistical Theory Taught In Almost All Faculties. Theory Followed By Relevant Formulae Is Fully Explicated Through Solved Numerical Problems. Mathematical Derivations And Proofs Of The Formulae Are Largely Absent. The Book Presupposes No Advance Knowledge Of Mathematics.Basic Statistics Fully Covers The Syllabi Of Statistics Courses Running In Various Universities In The Faculties Of Commerce, Arts, Master Of Business Management, Agriculture, Home Science, Pharmacy, And For Students Appearing In C.A. (P.E.-I), I.C.W.A. (Inter.), Etc. This Book Provides Exhaustive Matter In A Simple, Lucid And Exact Manner For Inquisitive Minds.Fourth Edition Of Basic Statistics Is Fully Revised And Enlarged. The Addition Of Two Chapters Entitled Research Processes And Experimental Research Designs Has Made The Book Complete In Its Own Sense. Variety Of Large Number Of Theory And Numerical Questions At The End Of Each Chapter Is A Boon To Achieve One S Own Goal. A Reader Will Find The Book Very Useful And Better Than His Expectations.