ผลต่างระหว่างรุ่นของ "Probstat"

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*** [http://www.youtube.com/watch?v=FtgUR9vDcaE Part 2.4] - The expected number of empty bins
 
*** [http://www.youtube.com/watch?v=FtgUR9vDcaE Part 2.4] - The expected number of empty bins
 
** [[Probstat/week4 practice 1|Week4 Practice 1]]
 
** [[Probstat/week4 practice 1|Week4 Practice 1]]
** Variances: [http://www.youtube.com/watch?v=8eL0Qb935uk Part 1], [http://www.youtube.com/watch?v=HAsvJFqvF_4 Part 2]
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** 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>]'''.
 
** [[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]
 
** (Watch this later.) Proof of the linearity of expectation: [http://www.youtube.com/watch?v=zko4MQw2MNQ youtube]

รุ่นแก้ไขเมื่อ 08:47, 11 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

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%