“Mastering Statistics: Concepts, Exercises, and Solutions” is a comprehensive guide designed to simplify statistics for learners of all levels. Each chapter includes clear reviews of key concepts, concise summaries, practical exercises, and short solutions to reinforce understanding. Whether you’re a student, professional, or self-learner, this book provides the tools you need to confidently tackle statistical challenges.
- Chapter 0: Probability & Linear Algebra Review
- Chapter I: Introduction to Statistics
- Chapter II: Probability Redux
- Chapter III: Parametric Statistical Modelling
- Chapter IV: Parametric Estimation & Confidence Intervals
- Chapter V: Delta Method and Confidence Intervals
- Chapter VI: Hypothesis testing, Type 1, Type 2 Errors (Part I)
- Chapter VII: Hypothesis testing, Type 1, Type 2 Errors (Part II)
- Chapter VIII: Distance measures between distributions
- Chapter IX: Introduction to Maximum Likelihood Estimation
- Chapter X: Consistency of MLE, Covariance Matrices, Multivariate Statistics
- Chapter XI: Fisher Information, Asymptotic Normality of MLE; Method of Moments
- Chapter XII: M-Estimation
- Chapter XIII: Chi Squared Distribution, T-Test
- Chapter XIV: Wald’s Test, Likelihood Ratio Test, and Implicit Hypothesis Test
- Chapter XV: Goodness of Fit Test for Discrete Distributions
- Chapter XVI: Kolmogorov-Smirnov test, Kolmogorov-Lilliefors test, Quantile-Quantile Plots
- Chapter XVII: Introduction to Bayesian Statistics
- Chapter XVIII: Jeffreys Prior and Bayesian Confidence Interval
- Chapter XIX: Linear Regression Part I
- Chapter XX: Linear Regression Part II
- Chapter XXI: Introduction to Generalized Linear Models; Exponential Families
- Chapter XXII: GLM: Link Functions and the Canonical Link Function