ผลต่างระหว่างรุ่นของ "Probstat"
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Jittat (คุย | มีส่วนร่วม) |
Jittat (คุย | มีส่วนร่วม) |
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| แถว 31: | แถว 31: | ||
*** Independent events: [http://youtu.be/ilVF_3W8u4E youtube] | *** Independent events: [http://youtu.be/ilVF_3W8u4E youtube] | ||
*** Bayes' formula: [http://www.youtube.com/watch?v=_Dwd-ItL_uI part 1], [http://www.youtube.com/watch?v=lSqCHnsji1w part 2] | *** Bayes' formula: [http://www.youtube.com/watch?v=_Dwd-ItL_uI part 1], [http://www.youtube.com/watch?v=lSqCHnsji1w part 2] | ||
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** [[Probstat/homework 1|Homework 1]] | ** [[Probstat/homework 1|Homework 1]] | ||
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| + | * '''Week4''' | ||
| + | ** Random variables: | ||
| + | *** [http://www.youtube.com/watch?v=BfjpozzA8jY Part 1] | ||
| + | *** [http://www.youtube.com/watch?v=Va7fqA-e4Lg Part 2.1] - Expectations, balls and bins experiment | ||
| + | *** [http://www.youtube.com/watch?v=LZ-DCHPJtn0 Part 2.2] - Warm-up problems | ||
| + | *** [http://www.youtube.com/watch?v=I2uk7Iz8PnY Part 2.3] - First Trial to Compute the Expectation | ||
| + | *** [http://www.youtube.com/watch?v=FtgUR9vDcaE Part 2.4] - The expected number of empty bins | ||
== Topics == | == Topics == | ||
รุ่นแก้ไขเมื่อ 13:40, 8 กันยายน 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
- Week1
- Introduction VDO: youtube
- Coin Toss Experiments
- Fun with statistics 1
- Basic concepts
- Part 1: Outcomes, Sample Spaces, and Events
- Part 2: Conditional probability (1)
- Random word practice 1
- Week2
- Basic concepts
- Part 3: Conditional probability (2) -- The clip contains errors at the end. Please see the annotations.
- Counting
- Part 1: Basic principles of counting
- Part 2: Permutations and Combinations Part 2.1, Part 2.2, Part 2.3
- Week2 Practice 1
- Axioms of probability: youtube
- Conditional probability: part3
- Basic concepts
- Week3
- Class cancelled: Tuesday 9/2.
- Conditional probability (revisited):
- Homework 1
- Week4
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%
