Category:Probability Theory
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This category contains results about Probability Theory.
Definitions specific to this category can be found in Definitions/Probability Theory.
Probability theory is the branch of mathematics which studies probability spaces.
Subcategories
This category has the following 109 subcategories, out of 109 total.
A
- Addition Law of Probability (6 P)
B
- Bayes' Factors (empty)
- Bayes' Theorem (10 P)
- Bernoulli's Theorem (3 P)
- Bimodal Distributions (empty)
- Binomial Experiments (1 P)
- Birthday Paradox (3 P)
- Bonferroni Inequalities (1 P)
- Borel Probability Spaces (empty)
- Borel-Cantelli Lemma (4 P)
C
- Central Limit Theorem (2 P)
- Complementary Events (1 P)
- Compound Distributions (1 P)
- Conditional Distributions (empty)
D
- Degenerate Distribution (1 P)
- Dice (empty)
- Differential Entropy (3 P)
- Disjoint Events (1 P)
E
- Examples of Uncertainty (2 P)
F
G
- Gambler's Ruin (1 P)
- Gaussian Integral (1 P)
H
I
- Independent Events (7 P)
K
- Khinchin's Law (3 P)
- Kochen-Stone Theorem (2 P)
- Kolmogorov Axioms (empty)
- Kolmogorov's Law (3 P)
- Kolmogorov-Sinai Entropy (2 P)
L
- Logit (1 P)
- Lévy's Inversion Formula (3 P)
M
- Marginal Distributions (empty)
- Markov's Inequality (2 P)
N
O
P
- Probability (1 P)
- Probability Measures (5 P)
- Pseudo-Random Numbers (empty)
R
- Relative Risk (empty)
S
- Standard Deviation (1 P)
- Statistical Physics (empty)
- Stochastically Larger (empty)
- Storage Theory (empty)
- Subjective Probability (empty)
T
- Total Probability Theorem (2 P)
U
- Urns (empty)
V
Pages in category "Probability Theory"
The following 79 pages are in this category, out of 79 total.
B
C
- Central Limit Theorem
- Characteristic Function of Random Variable is Well-Defined
- Characteristic Function on Event is Discrete Random Variable
- Classical Probability is Probability Measure
- Conditional Entropy Decreases if More Given
- Conditional Entropy Decreases if More Given/Corollary
- Conditional Entropy Given Trivial Sigma-Algebra is Entropy
- Conditional Entropy of Join as Sum
- Conditional Entropy of Join as Sum/Corollary 1
- Conditional Entropy of Join as Sum/Corollary 2
- Conditional Entropy of Join as Sum/Corollary 3
- Conditional Entropy of Join as Sum/Corollary 4
- Conditional Entropy of Join as Sum/Corollary 5
- Conditional Probability Defines Probability Space
- Countable Function on Power Set of Sample Space is Discrete Random Variable
D
E
F
G
M
P
- Probability Measure is Monotone
- Probability Measure on Equiprobable Outcomes
- Probability Measure on Single-Subset Event Space
- Probability of Empty Event is Zero
- Probability of Event not Occurring
- Probability of Independent Events Not Happening/Corollary
- Probability of Limit of Sequence of Events
- Probability of Limit of Sequence of Events/Decreasing
- Probability of Limit of Sequence of Events/Increasing
- Probability of no 2 People out of 53 Sharing the Same Birthday
- Probability of Occurrence of At Least One Independent Event
- Probability of Set Difference of Events
- Product of Discrete Random Variables
- Product Rule for Probabilities
- Properties of Join
- Pullback Commutes with Generating Partition