Probability, Statistics and Simulation : With Application Programs Written in R

1 Probability.- 2 Representation of random phenomena.- 3 Basic probability theory.- 4 Multivariate Probability Theory.- 5 Functions of random variables.- 6 Basic statistics: parameter estimation.- 7 Basic statistics: hypothesis testing.- 8 Monte Carlo methods.- 9 Applications of Monte Carlo methods.- 10 Statistical inference and likelihood.- 11 Least squares.- 12 Experimental data analysis.- Appendix  A: Table of symbols 533.- Appendix B: R software 535.- Appendix C: Moment-generating functions 539.- Appendix D: Solutions of problems 543.- Appendix E: Tables.