Live briefing
Everything about Conditional expectation
Expected value of a random variable given that certain conditions are known to occur
In probability theory, the conditional expectation, conditional expected value, or conditional mean of a random variable is its expected value evaluated with respect to the conditional probability distribution. If the random variable can take on only a finite number of values, the "conditions" are that the variable can only take on a subset of those values. More formally, in the case when the random variable is defined over a discrete probability space, the "conditions" are a partition of this probability space. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Conditional expectationA 5-minute orientation
- Skim a recent paper: Man versus Machine Learning: The Term Structure of Earnings Expectations and Conditional BiasesInfluential work since 2022
- Pick up a classic book: Essais optimistesThe most-reprinted book on the subject
- Read the landmark paper: Peeking Inside the Black Box: Visualizing Statistical Learning With Plots of Individual Conditional ExpectationCited 1,690 times
- Go sideways: Fatou's lemmaA closely related topic
- Go sideways: Standard probability spaceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Peeking Inside the Black Box: Visualizing Statistical Learning With Plots of Individual Conditional Expectation
The Conditional CAPM and the Cross‐Section of Expected Returns
Conditional Expectation and Unbiased Sequential Estimation
Conditional expectation in an operator algebra, I
Characterizations of conditional expectation-type operators
Iterates of conditional expectation operators
Conditional measures and conditional expectation; Rohlin's Disintegration Theorem
Expect the Unexpected from Conditional Expectation
🆕 Influential since 2022
Man versus Machine Learning: The Term Structure of Earnings Expectations and Conditional Biases
Sensor fault detection and diagnosis in photovoltaic systems using Hellinger Distance and Individual Conditional Expectation analysis
CRF-MEM: Conditional Random Field Model Based Modified Expectation Maximization Algorithm for Sarcasm Detection in Social Media
Conditional expectation strategy under the long memory Heston stochastic volatility model
Event-Triggered Distributed State Estimation: A Conditional Expectation Method
📚 Books worth reading
Essais optimistesElie Metchnikoff · 1907
Perfect MadnessJudith Warner · 2005
Rationality and explanation in economicsMaurice Lagueux · 2010
A choice of heroesMark Gerzon · 1982
Dying UnneededMichelle A. Parsons · 2014
Integrated Macro-Micro-Modelling Under Rational ExpectationsMichael Malakellis · 2000
Conditionals with Incredibles 2Allyssa Loya · 2018
Because Without CauseMarc Lange · 2016
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Fatou's lemma In mathematics, Fatou's lemma establishes an inequality relating the Lebesgue integral of the limit inferior of a sequence of functions to the limit inferior…
- Standard probability space In probability theory, a standard probability space, also called Lebesgue–Rokhlin probability space or just Lebesgue space (the latter term is ambiguous)…
- Independence (probability theory) Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes. Two events are independent, statistically…
- Random variable A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which…
- Regular conditional probability In probability theory, regular conditional probability is a concept that formalizes the notion of conditioning on the outcome of a random variable. The…
- Random measure In probability theory, a random measure is a measure-valued random element. Random measures are for example used in the theory of random processes, where…
- Conditional probability distribution In probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome…
- Conditional mutual information In probability theory, particularly information theory, the conditional mutual information is, in its most basic form, the expected value of the mutual…