Mathematical Statistics With Applications [Hardcover]

Mathematical statistics typically represents one of the most difficult challenges in statistics, particularly for those with more applied, rather than mathematical, interests and backgrounds. Most textbooks on the subject provide little or no review of the advanced calculus topics upon which much of mathematical statistics relies and furthermore contain material that is wholly theoretical, thus presenting even greater challenges to those interested in applying advanced statistics to a specific area.

Mathematical Statistics with Applications presents the background concepts and builds the technical sophistication needed to move on to more advanced studies in multivariate analysis, decision theory, stochastic processes, or computational statistics. Applications embedded within theoretical discussions clearly demonstrate the utility of the theory in a useful and relevant field of application and allow readers to avoid sudden exposure to purely theoretical materials.

With its clear explanations and more than usual emphasis on applications and computation, this text reaches out to the many students and professionals more interested in the practical use of statistics to enrich their work in areas such as communications, computer science, economics, astronomy, and public health.INTRODUCTION

REVIEW OF MATHEMATICS
Introduction
Combinatorics
Pascal's Triangle
Newton's Binomial Formula
Exponential Function
Stirling's Formula
Multinomial Theorem
Monotonic Functions
Convergence and Divergence
Taylor's Theorem
Differentiation and Summation
Some Properties of Integration
Integration by Parts
Region of Feasibility
Multiple Integration
Jacobian
Maxima and Minima
Lagrange Multiplier
L'H?pital's Rule
Partial Fraction Expansion
Cauchy-Schwarz Inequality
Generating Functions
Difference Equations
Vectors, Mal“.