References
GSB518 Notes
Preface
1
Randomness and Probability
2
Probability Models
3
Conditional Probability
4
Bayes Rule
5
Independence of Events
6
Discrete Random Variables
7
Probability Mass Functions
8
Expected Value
9
Variance and Standard Deviation
10
Binomial Distributions
11
Poisson Distributions
12
Continuous Random Variables
13
Percentiles: Cumulative Distribution Functions and Quantile Functions
14
Expected Values of Continuous Random Variables
15
Exponential Distributions
16
Normal Distributions
17
Joint and Conditional Distributions
18
Covariance and Correlation
19
Linear Combinations of Random Variables
20
Joint Normal Distributions
21
Statistical Estimation: From Probability to Statistics
22
Maximum Likelihood Estimation
23
Bias of Estimators
24
Variance and Mean Square Error of an Estimator
Homework 1
Homework 2
Homework 3
Homework 4
Homework 5
Homework 6
Homework 1 Solutions
Homework 2 Solutions
Summary of Some Common Distributions
References
References
Summary of Some Common Distributions