ผลต่างระหว่างรุ่นของ "Probstat"
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Jittat (คุย | มีส่วนร่วม) |
Jittat (คุย | มีส่วนร่วม) |
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| แถว 7: | แถว 7: | ||
''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.'' | ''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.'' | ||
| − | + | === Week1 === | |
| − | + | * Introduction VDO: [http://www.youtube.com/watch?v=ZPj-v1y4ViM youtube] | |
| − | + | * [[Probstat/coin toss experiments|Coin Toss Experiments]] | |
| − | + | * [[Probstat/fun with statistics 1|Fun with statistics 1]] | |
| − | + | * Basic concepts | |
| − | + | ** 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)] | |
| − | + | * [[Probstat/random word|Random word practice 1]] | |
| − | + | === Week2 === | |
| − | + | * Basic concepts | |
| − | + | ** Part 3: [http://www.youtube.com/watch?v=8dv95mM1e7E Conditional probability (2)] -- The clip contains errors at the end. Please see the annotations. | |
| − | + | * Counting | |
| − | + | ** Part 1: [http://www.youtube.com/watch?v=w8MiMVWdWEM Basic principles of counting] | |
| − | + | ** Part 2: Permutations and Combinations [http://www.youtube.com/watch?v=SxAbAoCPrTA Part 2.1], [http://www.youtube.com/watch?v=q1z43uBbot0 Part 2.2], [http://www.youtube.com/watch?v=TtK8pSlaGOI Part 2.3] | |
| − | + | * [[Probstat/week2 practice 1|Week2 Practice 1]] | |
| − | + | * Axioms of probability: [http://www.youtube.com/watch?v=mtBYshFG-2w youtube] | |
| − | + | * Conditional probability: [http://www.youtube.com/watch?v=XRy2yTpN4ZA part3] | |
| − | + | === Week3 === | |
| − | + | * '''Class cancelled''': Tuesday 9/2. | |
| − | + | * Conditional probability (revisited): | |
| − | + | ** Independent events: [http://youtu.be/ilVF_3W8u4E youtube] | |
| − | + | ** Bayes' formula: [http://www.youtube.com/watch?v=zPs7vIdSpWo part 1], [http://www.youtube.com/watch?v=lSqCHnsji1w part 2] | |
| − | + | * [[Probstat/homework 1|Homework 1]] | |
| − | + | === 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 | |
| − | + | * [[Probstat/week4 practice 1|Week4 Practice 1]] | |
| − | + | * Variances: [http://www.youtube.com/watch?v=8eL0Qb935uk Part 1], [http://www.youtube.com/watch?v=FHxRVl1dq00 Part 2] | |
| − | + | * [[Probstat/week4 practice 2|Week4 Practice 2]] -- '''E[X<sup>2</sup>]'''. | |
| − | + | * (Watch this later.) Proof of the linearity of expectation: [http://www.youtube.com/watch?v=zko4MQw2MNQ youtube] | |
| − | + | === Week5 === | |
| − | + | * Analysis of the fullest bins: [http://www.youtube.com/watch?v=nhW81rwKSps Part 1], [http://www.youtube.com/watch?v=2NkVgInKhRY Part 2], [http://www.youtube.com/watch?v=YZf2hogot2U Part 3] | |
| − | + | * [http://www.youtube.com/watch?v=r-kSD4RctZQ Examples on variances] | |
| − | + | * Important types of discrete random variables | |
| − | + | ** [http://www.youtube.com/watch?v=NU1UmNXxt_k Binomial random variables] | |
| − | + | ** [http://www.youtube.com/watch?v=OqJfKb9Q18M Geometric random variables] | |
| − | + | * [[Probstat/week5 practice 1|Week5 Practice 1]] | |
| − | + | * Independent random variables: [http://www.youtube.com/watch?v=PN8wnrZzhE8 Part 1], [http://www.youtube.com/watch?v=FrHsnzA9AOs Part 2] | |
| − | + | * [[Probstat/week5 practice 2|Week5 Practice 2]] | |
| + | |||
| + | === Week6 === | ||
=== Lecture notes === | === 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. | 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. | ||
รุ่นแก้ไขเมื่อ 13:30, 22 กันยายน 2557
This is a course web page for the course Probability and Statistics for Computer and Software Engineers.
เนื้อหา
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.
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
Week3
- Class cancelled: Tuesday 9/2.
- Conditional probability (revisited):
- Homework 1
Week4
- Random variables:
- Week4 Practice 1
- Variances: Part 1, Part 2
- Week4 Practice 2 -- E[X2].
- (Watch this later.) Proof of the linearity of expectation: youtube
Week5
- Analysis of the fullest bins: Part 1, Part 2, Part 3
- Examples on variances
- Important types of discrete random variables
- Week5 Practice 1
- Independent random variables: Part 1, Part 2
- Week5 Practice 2
Week6
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.
- Basic concepts
- Counting
- Random variables
- Balls-and-bins experiment and linearity of expectation
- Variances
- Special random variables
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%
