Nguồn ngoài
Introductory Probability
This text is designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject. The text can be used in a variety of course lengths, levels, and areas of emphasis.
- Tác giả
- Charles Grinstead & J. Laurie Snell
- Nhà xuất bản
- Dartmouth & Swarthmore Universities
- Nguồn
- LibreTexts
- Giấy phép
- GNU FDL
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 55 mục
- 01: Discrete Probability Distributions
- 1.01: Simulation of Discrete Probabilities
- 1.02: Discrete Probability Distribution
- 1.R: References
- 02: Continuous Probability Densities
- 2.01: Simulation of Continuous Probabilities
- 2.02: Continuous Density Functions
- 2.R: References
- 03: Combinatorics
- 3.01: Permutations
- 3.02: Combinations
- 3.03: Card Shuffling
- 3.R: References
- 04: Conditional Probability
- 4.01: Discrete Conditional Probability
- 4.02: Continuous Conditional Probability
- 4.03: Paradoxes
- 4.R: References
- 05: Distributions and Densities
- 5.01: Important Distributions
- 5.02: Important Densities
- 5.R: References
- 06: Expected Value and Variance
- 6.01: Expected Value of Discrete Random Variables
- 6.02: Variance of Discrete Random Variables
- 6.03: Continuous Random Variables
- 6.R: References
- 07: Sums of Random Variables
- 7.01: Sums of Discrete Random Variables
- 7.02: Sums of Continuous Random Variables
- 08: Law of Large Numbers
- 8.01: Discrete Random Variables
- 8.02: Continuous Random Variables
- 09: Central Limit Theorem
- 9.01: Central Limit Theorem for Bernoulli Trials
- 9.02: Central Limit Theorem for Discrete Independent Trials
- 9.03: Central Limit Theorem for Continuous Independent Trials
- 9.R: References
- 10: Generating Functions
- 10.01: Generating Functions for Discrete Distributions
- 10.02: Branching Processes
- 10.03: Generating Functions for Continuous Densities
- 10.R: References
- 11: Markov Chains
- 11.01: Introduction
- 11.02: Absorbing Markov Chains
- 11.03: Ergodic Markov Chains
- 11.04: Fundamental Limit Theorem for Regular Chains
- 11.05: Mean First Passage Time for Ergodic Chains
- 11.R: Footnotes and References
- 12: Random Walks
- 12.01: Random Walks in Euclidean Space
- 12.02: Gambler's Ruin
- 12.03: Arc Sine Laws
- 12.R: References and Footnotes