日期

93/9/20

principle of counting, permutation, combination, 作業1

93/9/22

binomial coefficient, multinomial coefficient, on the distribution of balls in urns, sample space, event

93/9/27

axioms of probability, some propositions of probability, 作業2

93/9/29

examples, probability as a continuous set function, conditional probability

93/10/4

multiplication rule, partition rule, Bayes’ theorem, 作業3

93/10/6

examples, independence,

93/10/11

第一次小考

93/10/13

random variable, cumulative distribution function

93/10/18

discrete random variable, probability mass function, 作業4

93/10/20

expected value, expectation of a function of a random variable, variance, Bernoulli distribution, Binomial distribution

93/10/25

Binomial distribution, Poisson distribution, 作業5

93/10/27

Poisson distribution, Geometric distribution, Negative binomial distribution

93/11/1

Hypergeometric distribution

93/11/3

第二次小考

93/11/8

continuous random variable, probability density function, expectation and variance of continuous random variables

93/11/10

期中考

93/11/15

uniform distribution, normal distribution, 作業6

93/11/17

normal distribution, DeMoivre-Laplace theorem

93/11/22

exponential distribution, 作業7

93/11/24

hazard rate function, Gamma distribution, Weibull distribution, Cauchy distribution, Beta distribution

93/11/29

第三次小考

the distribution of a function of a random variable

93/12/1

the distribution of a function of a random variable, joint cdf, marginal cdf

93/12/6

joint pdf, marginal pdf, 作業8

93/12/8

marginal pdf, multinomial distribution

93/12/13

independence random variables, 作業9

93/12/15

sum of independent random variables

93/12/20

第四次小考

93/12/22

sum of independent random variables, conditional distribution, 作業10

93/12/27

Jacobian transformation

93/12/29

expectation of sums of random variables 作業11

94/1/3

variance of sums

94/1/5

第五次小考

94/1/10

停課溫書

94/1/12

期末考