Statistical Models in Earth Sciences

About the Book In this book, the author has given some introduction to the nature of complexities and processes within Earth Sciences and some of theses are modeled through probabilistic and statistical methods using linear process. These are best exemplified through the use of axiomatic probability using univariate statistical methodology for scalar random variables and multivariate statistical methods for vector random variables. Several real geological examples are included in this book, which have been solved or partially solved to exemplify applications for solutions of specific earth science problems. The aim of these examples is to help the student to conceptually appreciate the problem and realistically formulate a simple mathematical model for its solution. In addition, several exercises are given at the end of each chapter so that the student can independently solve some advanced problems. This book will also be useful to professional Earth Scientists in formulating models and using statistical methods to make appropriate decisions in their chosen fields. Contents 1. Introduction, 2. Univariate Distributions, 3. Estimation and Tests of Hypothesis, 4. Linear Statistical Models, 5. Multivariate Analysis, 6. Principal Component and Factor Analysis, 7. Multiple Regression and Cannonical Correlations, 8. Manova, Discrimination and Classification, 9. Some Advanced Statistical Methods About the Author B. K Shahu, A pioneer teacher of Mathematical Geology, he was educated at Ravenshaw College, Cuttack; and at lIT Kharagpur, obtaining his B.Sc. Honours (1956) and M.Tech. (1958) degrees. ATCM fellow at University of Wisconsin, Madison (USA); he earned Ph.D. (Geology) in January 1962. A distinguished teacher at Punjab University, R. E. College, Raurkela; and lIT Bombay (1976-97); where he is currently the Emeritus Professor for life. He was awarded Bhatnagar Prize (CSIR, 1980) and Silver Medal (SGAT, Bhubaneshwar, 1981).