Fundamentals of Mathematical Statistics

Contents: 1. Introduction of statistics - presentation of statistical data. 2. Measures of central tendency – averages. 3. Moments, measures of dispersion, skewness and kurtosis.  4. Theory of probability. 5. Random variables. 6. Transformation of random variable. 7. Mathematical expectation. 8. Moment generating function, inequalities and convergence. 9. Special discrete probability distributions. 10. Special continuous probability distributions. 11. Correlation and regression. 12. Multiple and partial correlations. 13. Tests of significance for large samples. 14. Exact sampling distributions. 15. Tests of significance for small samples. 16. Estimation theory. 17. Testing of hypothesis. 18. Design of experiments and analysis of variance. Appendix - Statistical Tables. 

This book contains a balanced coverage of both the theory and applications that helps the beginners acquire a thorough knowledge of the concepts of mathematical statistics offered to the Arts, Science, Commerce and Engineering students in Indian Universities. 

Key Features: 
* Previous knowledge of the subject is not required. 
* Scope of the book is to provide an indepth understanding of the subject. 
* Exhaustive coverage of theoretical background. 
* Systematic arrangement and analytical presentation of the subject matter. 
* Solved examples with detailed explanation of the solution procedure. 
* Rich pedagogy includes 
   * 435 worked examples that have been graded according to their difficulty. 
   * 465 short answer questions. 
   * 600 problems for practice. 
   * Answers for all the analytical short answer and descriptive questions given at the end of each. 
   * 175 figures and tables.