result in probability theory
C8028
concept
In probability theory, a result is a formally stated and proven fact—such as a theorem, lemma, or corollary—that describes a property or relationship involving probabilistic concepts like random variables, events, or distributions.
All labels observed (29)
| Label | Occurrences |
|---|---|
| result in probability theory canonical | 12 |
| result in ergodic theory | 5 |
| probability theory theorem | 3 |
| law of large numbers variant | 2 |
| limit theorem | 2 |
| probability inequality | 2 |
| result in information theory | 2 |
| result in mathematical statistics | 2 |
| result in random matrix theory | 2 |
| result in statistical decision theory | 2 |
| result in stochastic process theory | 2 |
| condition in probability theory | 1 |
| law of large numbers | 1 |
| lemma in probability theory | 1 |
| probability law | 1 |
| probability theory | 1 |
| probability theory result | 1 |
| refinement of the law of large numbers | 1 |
| result in Malliavin calculus | 1 |
| result in Markov process theory | 1 |
| result in estimation theory | 1 |
| result in measure-theoretic probability | 1 |
| result in multivariate statistics | 1 |
| result in queueing theory | 1 |
| result in random walk theory | 1 |
| result in randomized algorithms | 1 |
| result in statistical learning theory | 1 |
| result in statistical pattern recognition | 1 |
| result in stochastic processes | 1 |
Instances (46)
| Instance | Via concept surface |
|---|---|
| Robbins lemma | lemma in probability theory |
| Lévy–Itô decomposition | result in stochastic process theory |
| Lévy’s continuity theorem | result in measure-theoretic probability |
| Borel–Cantelli lemmas | probability theory theorem |
| Bayes’ theorem | — |
| law of large numbers | limit theorem |
| Poincaré recurrence theorem | result in ergodic theory |
| Cramér–Rao bound | result in estimation theory |
| Kakutani’s random ergodic theorem | result in ergodic theory |
| complete class theorem in decision theory | result in statistical decision theory |
| Dynkin formula | result in Markov process theory |
|
Isserlis’ theorem in probability theory
surface form:
Isserlis’ theorem
|
result in mathematical statistics |
| Clark–Ocone formula | result in Malliavin calculus |
| Kolmogorov zero–one law | — |
| Berry–Esseen theorem | — |
| Bernstein inequalities | probability inequality |
| Khinchin's law of the iterated logarithm | — |
| Khinchin's representation theorem | result in stochastic processes |
| Khinchin–Pollaczek formula | — |
| May–Wigner stability theorem | result in random matrix theory |
| Erdős–Rényi law of large numbers | — |
| LLN | law of large numbers |
| ergodic theorem | result in ergodic theory |
| Doob–Meyer decomposition | — |
| Kac's lemma | result in ergodic theory |
| noisy-channel coding theorem | result in information theory |
| Fano inequality | result in information theory |
| Pólya’s theorem on random walks | result in random walk theory |
| Cover’s theorem on the separability of patterns | result in statistical learning theory |
| Cover’s theorem | result in statistical pattern recognition |
| Freidlin–Wentzell theory | probability theory |
| Lyapunov condition | condition in probability theory |
| Oseledets theorem | result in ergodic theory |
| admissibility theorem | result in statistical decision theory |
| Kesten’s theorem on random walks on groups | — |
| Kesten’s theorem | — |
| Kesten–Stigum theorem | probability theory result |
|
Jensen inequality
surface form:
Jensen's inequality
|
— |
| Khinchin–Kahane type inequalities | probability inequality |
| Wigner semicircle law | probability law |
| Hammersley–Clifford theorem | result in mathematical statistics |
| Yao’s minimax principle | result in randomized algorithms |
| Cramér’s theorem in large deviations | — |
| Cramér–Wold theorem | result in multivariate statistics |
| Condorcet jury theorem | — |
| Wigner surmise | result in random matrix theory |