CENG 222 - Statistical Methods for Computer Engineering (SECTION 1)
(Spring 2018-2019)


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Tentative Schedule

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  Date Lecture Topics Reading Assignments
Week
#1
Feb 11, Mon

Feb 14, Thur
No class on Monday. First meeting on Thursday

Course overview
Probability: Events and their probabilities (2.1.1),
Rules of probability (2.2),

Combinatorics (2.3 - student reading)
Conditional probability and independence (2.4)

Lecture slides
Class Web Page


Chapter 2
 

Week
#2
Feb 18, Mon

Feb 21, Thur
Discrete Random Variables: Distribution of a random variable and a random vector (3.1 and 3.2)

Expectation and variance (3.3 - excluding 3.3.7)

Lecture slides
 

Chapter 3 (3.1, 3.2, and 3.3)
 

Week
#3
Feb 25, Mon

Feb 28, Thur
Discrete distributions (3.4): Bernoulli distribution,
Binomial distribution, Negative Binomial distribution,

Geometric distribution, Poisson distribution
Poisson approximation to Binomial

Lecture slides
Chapter 3 (3.4)  

Exercises 2.15, 2.20, and 2.29.
Due March 3.
 

Week
#4
Mar 4, Mon

Mar 7, Thur
Continuous distributions (Chapter 4)
Probability density (4.1)

Uniform distribution, Exponential distribution (4.2)

Lecture slides
Chapter 4 (4.1, 4.2)  

 

Week
#5
Mar 11, Mon

Mar 14, Thur
Continuous distributions (Chapter 4)
Gamma distribution, Normal distribution (4.2),

Normal approximation to Binomial (4.2)
Central Limit Theorem (4.3)

Lecture slides
Chapter 4 (4.2, 4.3)  

Exercises 3.10, 3.15, 3.19, and 3.26.
Due March 21.
 

Week
#6
Mar 18, Mon

Mar 21, Thur
Simulation of random variables (5.2)

Monte Carlo methods (5.3.1 and 5.3.2)

Lecture slides
Chapter 5 (5.2.1-5.2.4, 5.3.1, 5.3.2)  

 

Week
#7
Mar 25, Mon

Mar 28, Thur
Midterm Exam
 

 

Week
#8
Apr 1, Mon

Apr 4, Thur
Statistics (Chapter 8):
Population and sample, parameters and statistics (8.1)

Simple descriptive statistics (8.2)
Graphical statistics (8.3)

Lecture slides
Chapter 8  

 

Week
#9
Apr 8, Mon

Apr 11, Thur
Statistical inference (Chapter 9)
Parameter estimation (9.1)

Confidence intervals (9.2)
Unknown standard deviation (9.3)

Lecture slides
Chapter 9 (9.1, 9.2, and 9.3)  

Assignment #3
Due date: April 24.  

Week
#10
Apr 15, Mon

Apr 18, Thur
Statistical inference continued

Hypothesis testing. Type I and Type II errors.
Level alpha tests. P-value. (9.4)

Lecture slides
Chapter 9 (9.4)  

 

Week
#11
Apr 22, Mon

Apr 25, Thur
Statistical inference continued (Chapter 10)

Chi-square tests (10.1)

Lecture slides
Chapter 10 (10.1)  

 

Week
#12
Apr 29, Mon

May 2, Thur
Regression (Chapter 11)
Least squares estimation (11.1)

Lecture slides
Chapter 11 (11.1)  

Assignment #4: Exercises 9.10, 9.12, 10.3, and 10.9
Due May 20.
 

Week
#13
May 6, Mon

May 9, Thur
Stochastic processes (Chapter 6)

Definitions and classifications. (6.1)
Markov processes and Markov chains. (6.2)

Lecture slides
Chapter 6 (6.1, and 6.2)  

 

Week
#14
May 13, Mon

May 16, Thur
Stochastic processes continued (Chapter 6)

Counting processes (6.3)
Simulation of stochastic processes (6.4)

Lecture slides
Chapter 6 (6.3, and 6.4)  

 

Week
#14
May 20, Mon

Final review