Randomness

Chance: The Occurrence and Development of Events Without Obvious Cause
An in-depth exploration of the concept of chance, including historical context, mathematical models, practical applications, and interesting facts.
Entropy (H): A Measure of Uncertainty in a Random Variable
Entropy is a fundamental concept in information theory that quantifies the level of uncertainty or randomness present in a random variable. This article provides a comprehensive overview of entropy, including historical context, mathematical models, applications, and related terms.
Indeterminism: The Philosophy of Randomness and Free Will
Indeterminism suggests that not all events are causally determined, proposing the existence of randomness or free will in the universe.
Missing Completely at Random (MCAR): Understanding Randomness in Missing Data
An in-depth exploration of the Missing Completely at Random (MCAR) assumption in statistical analysis, including historical context, types, key events, and comprehensive explanations.
Mixed Strategy: A Tactical Approach in Game Theory
A comprehensive exploration of mixed strategies in game theory, detailing their application, mathematical foundations, historical context, and relevance across different fields.
Noise: Understanding Its Implications in Various Domains
An in-depth exploration of noise, its definitions in different contexts, historical evolution, types, key events, mathematical models, and its importance across various fields.
Random Walk Hypothesis: Stock Price Randomness
The Random Walk Hypothesis posits that stock price changes are random and unpredictable, contrasting with the notion of mean reversion.
Stochastic Processes: Analysis of Randomness in Time
Stochastic processes involve randomness and can be analyzed probabilistically, often used in various fields such as finance, economics, and science.
Random-Number Generator: An Essential Tool for Producing Random Sequences
A Random-Number Generator (RNG) is a program or algorithm designed to generate a sequence of numbers or symbols that cannot be reasonably predicted better than by random chance. RNGs have crucial applications in fields such as statistics, cryptography, and gaming.
Gambler's Fallacy: Misconceptions and Real-World Examples
The Gambler's Fallacy is an erroneous belief that a random event is more or less likely to happen based on the results from a previous series of events. This entry explores the fallacy's implications, examples, and the psychological reasoning behind it.

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