random walk
Noun: A random walk is a mathematical concept describing a path or sequence of steps where each new step is determined randomly and independently of the previous steps. It is a fundamental model in probability theory and statistics used to represent processes where future states are unpredictable based solely on past states.
The term is used primarily in academic and technical contexts, such as mathematics, physics, economics, and finance, to model unpredictable or stochastic behavior. - It describes a process where the next position is a random deviation from the current position. - It is often used to analyze stock market prices, particle movement, or genetic drift.
- In finance, the random walk hypothesis suggests that stock price changes are unpredictable and follow such a pattern.
- The physicist explained Brownian motion as a type of random walk executed by microscopic particles.
- Analyzing the algorithm's performance involved simulating a random walk across the network graph.
- Efficient Market Hypothesis: In economics, the idea that asset prices fully reflect all available information is often linked to the concept of a random walk, implying prices are not predictable.
- Symmetric vs. Asymmetric Random Walk: A random walk can be symmetric (equal probability of moving in opposite directions) or asymmetric (probabilities are not equal).
- Random Walker (n): An entity or point undergoing a random walk.
- Random Walk Theory (n): The application of the random walk concept to a specific field, most commonly finance.
- Stochastic Process: A broader term for a process that evolves randomly over time.
- Drunkard's Walk: A colloquial term for a random walk, often used in introductory explanations.
Note: As a technical term, "random walk" does not have idiomatic phrasal verbs. However, it is used in compound technical phrases. - Perform a random walk: To execute or simulate this process. - The simulation required the program to perform a random walk through the data set. - Follow a random walk: To behave in a manner consistent with this model. - The statistical tests indicated that the time series data did not follow a random walk.
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a stochastic process consisting of a sequence of changes each of whose characteristics (as magnitude or direction) is determined by chance
