STA 623-001 (Theory of Probability)

Syllabus (DOC), posted 22 August 2011

Entrance Survey (DOC), posted 22 August 2011

Notes on Section 1.1: Set Theory (PS PDF), posted 22 August 2011

Notes on Section 1.2: Basics of Probability Theory (PS PDF), posted 22 August 2011

Notes on Section 1.3: Conditional Probability and Independence (PS PDF), posted 22 August 2011

Notes on Section 1.4: Random Variables (PS PDF), posted 22 August 2011

Notes on Section 1.5: Distribution Functions (PS PDF), posted 22 August 2011

Notes on Section 1.6: Density and Mass Functions (PS PDF), posted 22 August 2011

Notes on Section 2.1: Distributions of Functions of a Random Variable (PS PDF), posted 22 August 2011

Notes on Section 2.2: Expected Values (PS PDF), posted 22 August 2011

Notes on Section 2.3: Moments and Moment Generating Functions (PS PDF), posted 22 August 2011

Notes on Section 2.4: Differentiating under an Integral Sign (PS PDF), posted 22 August 2011

Notes on Section 3.2: Discrete Distributions (PS PDF), posted 22 August 2011

Notes on Section 3.3: Continuous Distributions (PS PDF), posted 22 August 2011

Notes on Section 3.4: Exponential Families (PS PDF), posted 22 August 2011

Notes on Section 3.5: Location and Scale Families (PS PDF), posted 22 August 2011

Notes on Section 3.6: Inequalities and Identities (PS PDF), posted 22 August 2011

Notes on Section 4.1: Joint and Marginal Distributions (PS PDF), posted 22 August 2011

Notes on Section 4.2: Conditional Distributions and Independence (PS PDF), posted 22 August 2011

Notes on Section 4.3: Bivariate Transformations (PS PDF), posted 22 August 2011

Notes on Section 4.5: Covariance and Correlation (PS PDF), posted 22 August 2011

Notes on Section 4.6: Multivariate Distributions (PS PDF), posted 22 August 2011

Notes on Section 4.7: Inequalities (PS PDF), posted 22 August 2011

Notes on Section 5.1: Basic Concepts of Random Samples (PS PDF), posted 22 August 2011

Notes on Section 5.2: Sums of Random Variables from a Random Sample (PS PDF), posted 22 August 2011

Written Assignment 1 (PS PDF), posted 02 September 2011 and due 20 September 2011

Solutions (PS PDF), posted 26 September 2011

Written Assignment 2 (PS PDF), posted 20 September 2011 and due 04 October 2011

Solutions (PS PDF), posted 06 October 2011

Midterm Examination (PS PDF), posted 06 October 2011 and due 18 October 2011

Written Assignment 3 (PS PDF), posted 22 October 2011 and due 01 November 2011

Solutions (PS PDF), posted 07 November 2011

Written Assignment 4 (PS PDF), posted 05 November 2011 and due 15 November 2011

Solutions (PS PDF), posted 20 November 2011

In-Class Assessment (PS PDF), posted 03 December 2011

Final Examination (PS PDF), posted 03 December 2011