ผลต่างระหว่างรุ่นของ "Probstat"

จาก Theory Wiki
ไปยังการนำทาง ไปยังการค้นหา
 
(ไม่แสดง 8 รุ่นระหว่างกลางโดยผู้ใช้คนเดียวกัน)
แถว 11: แถว 11:
 
* [[Probstat/homework 3|Homework 3]] due 12/26. (but should be very useful for preparing for the final examination)
 
* [[Probstat/homework 3|Homework 3]] due 12/26. (but should be very useful for preparing for the final examination)
  
* [[Probstat/class activities|How to submit class activities]] due 12/12.
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==== Class activities / project ====
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* [[Probstat/class activities|How to submit class activities]] due 12/20.
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* [[Probstat/project submission|How to submit your project]] ''TBA''.
  
 
=== Week1 ===
 
=== Week1 ===
 
* Introduction VDO: [http://www.youtube.com/watch?v=ZPj-v1y4ViM youtube]
 
* Introduction VDO: [http://www.youtube.com/watch?v=ZPj-v1y4ViM youtube]
* [[Probstat/coin toss experiments|Coin Toss Experiments]]
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* [[Probstat/coin toss experiments|Coin Toss Experiments]] (Practice 1)
* [[Probstat/fun with statistics 1|Fun with statistics 1]]
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* [[Probstat/fun with statistics 1|Fun with statistics 1]] (Practice 2)
 
* Basic concepts
 
* Basic concepts
 
** Part 1: [http://www.youtube.com/watch?v=pe_-yh6WD-8 Outcomes, Sample Spaces, and Events]
 
** Part 1: [http://www.youtube.com/watch?v=pe_-yh6WD-8 Outcomes, Sample Spaces, and Events]
 
** Part 2: [http://www.youtube.com/watch?v=8BqPUAbaXY0 Conditional probability (1)]
 
** Part 2: [http://www.youtube.com/watch?v=8BqPUAbaXY0 Conditional probability (1)]
* [[Probstat/random word|Random word practice 1]]
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* [[Probstat/random word|Random word practice 1]] (Practice 3)
  
 
=== Week2 ===
 
=== Week2 ===
แถว 101: แถว 103:
 
=== Week15 ===
 
=== Week15 ===
 
* Analysis of variances
 
* Analysis of variances
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** [[probstat/week15 practice 1|Practice 1]]
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* Limit theorems
  
 
=== Lecture notes ===
 
=== Lecture notes ===
แถว 111: แถว 115:
 
* [[probstat/notes/variances|Variances]]
 
* [[probstat/notes/variances|Variances]]
 
* [[probstat/notes/special random variables|Special random variables]]
 
* [[probstat/notes/special random variables|Special random variables]]
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* [[probstat/notes/Poisson and exponential random variables|Poisson and exponential random variables]]
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* [[probstat/notes/jointly distributed random variables|Jointly distributed random variables]]
 
* [[probstat/notes/sample means and sample variances|Sample means and sample variances]]
 
* [[probstat/notes/sample means and sample variances|Sample means and sample variances]]
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* [[probstat/notes/confidence intervals|Confidence intervals]]
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* [[probstat/notes/chi-squared distribution|Chi-squared distribution]]
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* [[probstat/notes/t-distributions|Dealing with unknown variances (t-distribution)]]
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* [[probstat/notes/parameter estimation|Parameter estimations]]
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* [[probstat/notes/hypothesis testing|Hypothesis testing]]
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* [[probstat/notes/regression|Regression]]
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* [[probstat/notes/anova|Analysis of variance]]
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* [[probstat/notes/limit theorems|Limit theorems]]
  
 
== Topics ==
 
== Topics ==

รุ่นแก้ไขปัจจุบันเมื่อ 10:08, 5 ธันวาคม 2557

This is a course web page for the course Probability and Statistics for Computer and Software Engineers.

Materials

Many of the exercises are taken from various sources, listed here: FCP = Ross, A First Course in Probability, Macmillan, 1984; SPS = Spiegel, Schiller, Srinivasan, Schaum's outlines Probability and Statistics Fourth Edition. Mc-Graw-Hill, 2013; IPSES = Ross, Introduction of Probability and Statistics for Engineers and Scientists, Wiley, 1987.

Homework

Class activities / project

Week1

Week2

Week3

Week4

Week5

Week6

Week7

Week8

Week9

Week10

Week11

  • Jointly distributed random variables
  • Sample means and sample variances. notes
  • Week11 practice 2 -- Sample means, sample variances, confidence interval

Week12

  • More on sample distributions and confidence intervals: notes

Week13

  • Estimations: method of moment estimations, maximum likelihood estimators
  • Hypothesis testing

Week14

Week15

Lecture notes

These notes are meant to be used in complement to the video lectures. They only contain summary of the materials discussed in the video. Don't use them to avoid watching the clips please.

Topics

  • Course introduction
  • Probability theory
    • Introduction to various concepts in probability theory
    • Elements of probability: axioms of probability, conditional probability, independence, Bayes' formula
    • Discrete random variables and expectations: random variables, expected values, variances, jointly distributed random variables
    • Tail bounds and analysis of randomized algorithms
    • Continuous random variables
  • Statistics
    • Sampling
    • Parameter estimation
    • Hypothesis testing
    • Regression
    • Analysis of Variance

Administrative information

  • Score breakdown: in-class activities 19%, projects 27%, midterm exam 27%, final exam 27%