Everything about Conditional probability distribution
Probability theory and statistics concept
In probability theory and statistics, the conditional probability distribution is a probability distribution that describes the probability of an outcome given the occurrence of a particular event. Given two jointly distributed random variables and, the conditional probability distribution of given is the probability distribution of when is known to be a particular value; in some cases the conditional probabilities may be expressed as functions containing the unspecified value of as a parameter. When both and are categorical variables, a conditional probability table is typically used to represent the conditional probability. The conditional distribution contrasts with the marginal distribution of a random variable, which is its distribution without reference to the value of the other variable. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Conditional probability distributionA 5-minute orientation
- Skim a recent paper: Joint Wasserstein distance matching under conditional probability distribution for cross-domain fault diagnosis of rotating machineryInfluential work since 2022
- Pick up a classic book: ProbabilityThe most-reprinted book on the subject
- Read the landmark paper: Comparative performance of indicator algorithms for modeling conditional probability distribution functionsCited 71 times
- Go sideways: Standard probability spaceA closely related topic
- Go sideways: Notation in probability and statisticsA closely related topic
đź“– Definitions
Noun The probability distribution of a random variable given the known outcome of another random variable.
🏆 Landmark papers (most cited)
Comparative performance of indicator algorithms for modeling conditional probability distribution functions
Probability, conditional probability and complementary cumulative distribution functions in performance assessment for radioactive waste disposal
On the characterization of a joint probability distribution by conditional distributions
Maximum Entropy-based Conditional Probability Distribution Runoff Model
Probability distribution and conditional averaging in turbulent flows
The Probability Distribution of Conditional Classification Error
Conditional Probability Distribution and Bivariate Probability Distribution in Long-Term V-t Characteristics
Conditional Probability Distributions.
🆕 Influential since 2022
Joint Wasserstein distance matching under conditional probability distribution for cross-domain fault diagnosis of rotating machinery
Locally private estimation of conditional probability distribution for random forest in multimedia applications
Improved Conditional Probability Distribution Distance Measurement Based on Feature Selection and Weighting
Edgeworth Theoretic Characterization of Mutual Information Underneath Joint and Conditional Probability Distribution in Algorithmic Information Theory
Characterization of Probability Distributions through Conditional Expectation of Order Statistics
đź“š Books worth reading
ProbabilityHenry McKean · 2014
Benford's LawAlex Ely Kossovsky · 2014
Stochastic Optimal Control and the U.S. Financial Debt CrisisJerome L. Stein · 2012
Bivariate discrete distributionsKocherlakota, Subrahmaniam · 1992
Bounds and characterizations of record statisticsM. Ahsanullah · 2005
Probability And StatisticsAkhilesh Pawar, Pawan K. Chaurasya · 2011- 📕Leaving unemployment for self-employment : an empirical studyReize· Frank. · 2003
- 📕Statistical studies of income, poverty and inequality in EuropeNicholas T. Longford · 2015
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