Все публикации

0:07:18

05-07. Continuous random variables (exercise 5.40) - Function of a random variable.

0:13:10

05-06. Continuous random variables (exercise 5.32) - Memoryless property of the exponential.

0:12:34

05-05. Continuous random variables (exercise 5.13) - The uniform random variable.

0:08:53

05-04. Continuous random variables (exercise 5.8) - From density function to expected value.

0:08:59

05-03. Continuous random variables (exercise 5.5) - From density function to probability.

0:14:02

05-02. Continuous random variables (exercise 5.1) - Cumulative distribution function.

0:06:04

05-01. Continuous random variables (exercise 5.3) - Checking the density function conditions.

0:06:38

04-13. Discrete random variables (exercise 4.78) - Geometric and time to the first success.

0:08:14

04-12. Discrete random variables (exercise 4.61) - Poisson and number of full houses.

0:07:24

04-11. Discrete random variables (exercise 4.59) - Poisson and winning the lottery.

0:18:44

04-10. Discrete random variables (exercise 4.51) - Poisson and number of typos on a page.

0:17:11

04-09. Discrete random variables (exercise 4.49) - Binomial and number of heads and tails.

0:08:10

04-08. Discrete random variables (exercise 4.40) - Binomial and multiple choice exam.

0:38:33

04-07. Discrete random variables - Binomial and geometric, Poisson and exponential.

0:10:01

04-06. Discrete random variables (exercise 4.21) - Comparing expected values.

0:15:02

04-05. Discrete random variables (exercise 4.20) - Winning strategy at the game of roulette?

0:15:21

04-04. Discrete random variables (exercise 4.14) - How many times the first player wins?

0:10:45

09-12. Convergence and limit theorems - Stirling's formula using the central limit theorem.

0:18:51

09-10. Convergence and limit theorems - Law of large numbers and ruin at a fair game.

0:16:01

09-11. Convergence and limit theorems - Central limit theorem and large deviation estimates.

0:36:21

09-09. Convergence and limit theorems - Strong law of large numbers and ergodic theorem.

0:24:03

09-08. Convergence and limit theorems - Weierstrass theorem using Chebyshev's inequality.

0:09:53

09-07. Convergence and limit theorems - Markov's inequality and Chebyshev's inequality.

0:10:00

09-06. Convergence and limit theorems - Convergence in probability and convergence almost surely.