课程目录
- 1·1.Probability and Statistics_ Overview _Chinese_tr
- 2·2.Gentle Introduction to Probability_ Counting Coi
- 3·3.Counting Probabilities with Combinatorics and th
- 4·4.Set Theory in Probability_ Sample Spaces and Eve
- 5·5.The Birthday Problem in Probability_ P(A) = 1 -
- 6·6.Quality Control Non-Destructive Inspection and
- 7·7.The Binomial Distribution and the Multinomial Di
- 8·8.Conditional Probabilities _Chinese_translated
- 9·9.The Law of Total Probability_Chinese_translated
- 10·10.Bayes Theorem (with Example!) _Chinese_transla
- 11·11.Bayes Theorem Example_ Drug Testing_Chines
- 12·12.Independence in Probability _Chinese_translated
- 13·13.Random Variables and Probability Distributions
- 14·14.Bernoulli and Binomial Random Variables _Chines
- 15·15.The Normal Distribution_ The Limit of Binomial
- 16·16.The Standard Unit Normal and Probability Comput
- 17·17.The Poisson Distribution_ The Rare Event Limit
- 18·18.The Geometric Distribution_ The First Success o
- 19·19.The Exponential Distribution_ Time Between Pois
- 20·20.The Hazard Rate and Memoryless Property of the
- 21·21.The Connection Between the Exponential Distribution and the Poisson Process _
- 22·22.The Gamma Distribution _Chinese_translated
- 23·23.Functions of a Random Variable_Chinese_translated
- 24·24.Rescaling the Normal Distribution to Mean Zero and Variance One _Chinese_tran
- 25·25.The Chi Squared Distribution_ The Square of the Normal Distribution _Chinese_
- 26·26.Joint Probability Distributions_Chinese_translated
- 27·27.Joint Probability Distributions_ Marginal and Conditional Densities -_Chinese
- 28·28.The Expected Value (Mean) of a Probability Distribution _Chinese_translated
- 29·29.Properties of the Expected Value _Chinese_translated
- 30·30.Variance and Standard Deviation _Chinese_translated
- 31·31.Example of Computing the Expectation and Variance of an Exponential Distribut
- 32·32. Examples of Expected Values & Functions_ Temperature in C vs F and the Kine
- 33·33.Markovs Inequality in Probability_ First Order Estimates _Chinese_translated
- 34·34.Chebyshevs Inequality in Probability_ Second Order Estimates _Chinese_transl
- 35·35.The Law of Large Numbers_Chinese_translated
- 36·36.The Central Limit Theorem _Chinese_translated
- 37·37.The Moment Generating Function_Chinese_translated
- 38·38.Example of The Moment Generating Function_Chinese_translated
- 39·39.The Lebesque Measure in Probability _Chinese_translated (1)
- 40·40.Additive Property of the Moment Generating Function _Chinese_translated
- 41·41.Covariance and Correlation in Probability_Chinese_translated
- 42·42.Covariance and Correlation_ Example with Gaussian Distributions _Chinese_tran
- 43·43.The Tail Sum Formula in Probability_Chinese_translated
- 44·44.0Proof of the Central Limit Theorem_Chinese_translated
课程介绍
课程目录：
1·1.Probability and Statistics_ Overview _Chinese_tr
2·2.Gentle Introduction to Probability_ Counting Coi
3·3.Counting Probabilities with Combinatorics and th
4·4.Set Theory in Probability_ Sample Spaces and Eve
5·5.The Birthday Problem in Probability_ P(A) = 1 -
6·6.Quality Control, Non-Destructive Inspection, and
7·7.The Binomial Distribution and the Multinomial Di
8·8.Conditional Probabilities _Chinese_translated
9·9.The Law of Total Probability_Chinese_translated
10·10.Bayes' Theorem (with Example!) _Chinese_transla
11·11.Bayes' Theorem Example_ Drug Testing
12·12.Independence in Probability _Chinese_translated
13·13.Random Variables and Probability Distributions
14·14.Bernoulli and Binomial Random Variables _Chines
15·15.The Normal Distribution_ The Limit of Binomial
16·16.The Standard Unit Normal and Probability Comput
17·17.The Poisson Distribution_ The Rare Event Limit
18·18.The Geometric Distribution_ The First Success o
19·19.The Exponential Distribution_ Time Between Pois
20·20.The Hazard Rate and Memoryless Property of the
21·21.The Connection Between the Exponential Distribution and the Poisson Process _
22·22.The Gamma Distribution _Chinese_translated
23·23.Functions of a Random Variable_Chinese_translated
24·24.Rescaling the Normal Distribution to Mean Zero and Variance One _Chinese_tran
25·25.The Chi Squared Distribution_ The Square of the Normal Distribution _Chinese_
26·26.Joint Probability Distributions_Chinese_translated
27·27.Joint Probability Distributions_ Marginal and Conditional Densities -_Chinese
28·28.The Expected Value (Mean) of a Probability Distribution _Chinese_translated
29·29.Properties of the Expected Value _Chinese_translated
30·30.Variance and Standard Deviation _Chinese_translated
31·31.Example of Computing the Expectation and Variance of an Exponential Distribut
32·32. Examples of Expected Values & Functions_ Temperature in C vs F, and the Kine
33·33.Markov's Inequality in Probability_ First Order Estimates _Chinese_translated
34·34.Chebyshev's Inequality in Probability_ Second Order Estimates _Chinese_transl
35·35.The Law of Large Numbers_Chinese_translated
36·36.The Central Limit Theorem _Chinese_translated
1·1.Probability and Statistics_ Overview _Chinese_tr
2·2.Gentle Introduction to Probability_ Counting Coi
3·3.Counting Probabilities with Combinatorics and th
4·4.Set Theory in Probability_ Sample Spaces and Eve
5·5.The Birthday Problem in Probability_ P(A) = 1 -
6·6.Quality Control, Non-Destructive Inspection, and
7·7.The Binomial Distribution and the Multinomial Di
8·8.Conditional Probabilities _Chinese_translated
9·9.The Law of Total Probability_Chinese_translated
10·10.Bayes' Theorem (with Example!) _Chinese_transla
11·11.Bayes' Theorem Example_ Drug Testing
12·12.Independence in Probability _Chinese_translated
13·13.Random Variables and Probability Distributions
14·14.Bernoulli and Binomial Random Variables _Chines
15·15.The Normal Distribution_ The Limit of Binomial
16·16.The Standard Unit Normal and Probability Comput
17·17.The Poisson Distribution_ The Rare Event Limit
18·18.The Geometric Distribution_ The First Success o
19·19.The Exponential Distribution_ Time Between Pois
20·20.The Hazard Rate and Memoryless Property of the
21·21.The Connection Between the Exponential Distribution and the Poisson Process _
22·22.The Gamma Distribution _Chinese_translated
23·23.Functions of a Random Variable_Chinese_translated
24·24.Rescaling the Normal Distribution to Mean Zero and Variance One _Chinese_tran
25·25.The Chi Squared Distribution_ The Square of the Normal Distribution _Chinese_
26·26.Joint Probability Distributions_Chinese_translated
27·27.Joint Probability Distributions_ Marginal and Conditional Densities -_Chinese
28·28.The Expected Value (Mean) of a Probability Distribution _Chinese_translated
29·29.Properties of the Expected Value _Chinese_translated
30·30.Variance and Standard Deviation _Chinese_translated
31·31.Example of Computing the Expectation and Variance of an Exponential Distribut
32·32. Examples of Expected Values & Functions_ Temperature in C vs F, and the Kine
33·33.Markov's Inequality in Probability_ First Order Estimates _Chinese_translated
34·34.Chebyshev's Inequality in Probability_ Second Order Estimates _Chinese_transl
35·35.The Law of Large Numbers_Chinese_translated
36·36.The Central Limit Theorem _Chinese_translated
