Mathematical Statistics with Applications in R

Kandethody M Ramachandran is a Professor of Mathematics and Statistics at the University of South Florida (USF). His research interests are concentrated in the areas of applied probability and statistics. His research publications span a variety of areas such as control of heavy traffic queues, stochastic delay systems, machine learning methods applied to game theory, finance, cyber security, and other areas, software reliability problems, applications of statistical methods to microarray data analysis, and streaming data analysis. He is also, co-author of three books. He is the founding director of the Interdisciplinary Data Sciences Consortium (IDSC). He is extensively involved in activities to improve statistics and mathematics education. He is a recipient of the Teaching Incentive Program award at the University of South Florida. He is also the PI of 2 million dollar grant from NSF, and a co_PI of 1.4 million grant from HHMI to improve STEM education at USF.

Includes chapters that are written by the world's leading experts, including the latest up-to-date thinking on a variety of subject areas Covers state-of-the-art techniques, bringing the reader the latest technologies/methods being used to understand beach systems Presents a clear-and-concise description of processes and techniques that enables a clear understanding of coastal processes

1. Descriptive Statistics2. Basic Concepts from Probability Theory3. Additional Topics in Probability4. Sampling Distributions5. Statistical Estimation6. Hypothesis Testing7. Linear Regression models8. Design of Experiments9. Analysis of Variance 10. Bayesian Estimation and Inference11. Categorical Data Analysis and Goodness of Fit Tests and Applications12. Nonparametric Tests13. Empirical Methods14. Some applications and Some Issues in Statistical Applications: An Overview