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The Chinese University of Hong Kong
STAT 除1030的入门课，没有上过1030 也可以上。内容和1030差不多但是难度加深很多。介绍统计学中的各种模型，有很多微积分的知识在里面。主要内容如下Basic concepts and properties of probability. Counting rules. Conditional Probability. Independent
Events. Bayes’s Theorem
b) Discrete random variables. Mathematical Expectation. Mean, Variance, Moments. Binomial
distribution. Moment-Generating Functions. Poisson distribution.
c) Continuous random variables. Uniform distribution. Exponential distribution. Gamma and Chisquare distributions. Distribution of functions of a random variable.
d) Distribution of two random variables. Correlation coefficient. Conditional distributions.
Transformations of Random Variables. Several independent random variables. Distribution of sums
of independent random variables.
e) Normal distribution. Central Limit Theorem. Normal Approximations.
Assignments Written assignments will be given
4 to 5 assignments
Mid-term Examination To be arranged 35%
Final Examination To be arranged by University 55%
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basic info. of stat.
not so difficult, but need to do more exercise
assign, exam, midterm
Basic stat. Very different from STAT1011
55% Final Exam
This course is designed to study the basic concepts of probability and statistics. Topics include elementary probability, Bayes theorem, random variables, distribution and density functions, mathematical expectation, conditional distribution, stochastic independence, correlation, special univariate and multivariate distributions, transformation of random variables, sampling distributions, law of large number, moment generating function and central limit theorem.
Mid-term Examination 35%
Final Examination 55%
Basic Concepts in Statistics and Probability I
Assignments (5 in total) 10%
Basic concepts in statistics and probability.
Introduce some basic models of distribution, such as normal, exponential, gamma, binomial distributions and distributions with more than one variable.
assignment, mid term, final
Discrete and continuous probability mainly
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