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Everything about Probability distribution
Mathematical function for the probability a given outcome occurs in an experiment
In probability theory and statistics, a probability distribution describes how probabilities are assigned to the possible results of a random phenomenon—more precisely, to events, which are sets of possible outcomes of a probabilistic experiment. Informally, a probability distribution tells us how likely different results are. Formally, it is a probability measure: a function that assigns probabilities to events in a way that satisfies the axioms of probability. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Probability distributionA 5-minute orientation
- Skim a recent paper: Infection probability under different air distribution patternsInfluential work since 2022
- Pick up a classic book: Workshop statisticsThe most-reprinted book on the subject
- Read the landmark paper: Speech probability distributionCited 230 times
- Go sideways: Random variableA closely related topic
- Go sideways: Probability theoryA closely related topic
📖 Definitions
Noun A distribution of all possible values of a random variable together with an indication of their probabilities.
🗂️ The subject at a glance
- Introduction
- General probability definition
- Terminology
- Cumulative distribution function
- Discrete probability distribution
- Absolutely continuous probability distribution
- Kolmogorov definition
- Other kinds of distributions
- Lebesgue decomposition
- Random number generation
- Common probability distributions and their applications
- Fitting
🏆 Landmark papers (most cited)
Speech probability distribution
On the limiting probability distribution of a transition probability tensor
Tunneling-time probability distribution
Probability Distribution Functions for Construction Simulation
Boltzmann's probability distribution of 1877
Joint probability distribution of nonmarkovian SDE
Fusions of a Probability Distribution
Quantum probability distribution of arrival times and probability current density
🆕 Influential since 2022
Infection probability under different air distribution patterns
Linguistic Steganography Based on Adaptive Probability Distribution
Generative quantum learning of joint probability distribution functions
Estimated Probability Distribution of Bleeding After Pediatric Tonsillectomy
Exponential negation of a probability distribution
📚 Books worth reading
Workshop statisticsAllan J. Rossman, Beth L. Chance · 1996
The advanced theory of statisticsMaurice G. Kendall, Maurice Kendall · 1943
Introductory statisticsN. A. Weiss · 1982
Handbook of exponential and related distributions for engineers and scientistsNabendu Pal · 2005
Probability and statistical inferenceJ. G. Kalbfleisch · 1971
Uncertainty, calibration, and probabilityC. F. Dietrich · 1973
Large sample methods in statisticsPranab Kumar Sen, Pranab K. Sen · 1993
An Introduction to CopulasRoger B. Nelsen · 1998
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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