What does Law of Large Numbers mean?
Definitions for Law of Large Numbers
law of large num·bers
This dictionary definitions page includes all the possible meanings, example usage and translations of the word Law of Large Numbers.
Princeton's WordNet
Bernoulli's law, law of large numbersnoun
(statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statistics
Wiktionary
law of large numbersnoun
The statistical tendency toward a fixed ratio in the results when an experiment is repeated a large number of times; law of averages.
ChatGPT
law of large numbers
The law of large numbers is a statistical principle that states that as a sample size grows, its mean will get closer and closer to the average of the whole population. It essentially suggests that the results obtained from a large number of trials should be close to the expected value, and will tend to become closer to this expected value as more trials are performed. It is a fundamental concept in probability theory and statistics, providing a guarantee that short-term fluctuations will eventually yield to long-term stability and predictability.
Wikidata
Law of large numbers
In probability theory, the law of large numbers is a theorem that describes the result of performing the same experiment a large number of times. According to the law, the average of the results obtained from a large number of trials should be close to the expected value, and will tend to become closer as more trials are performed. The LLN is important because it "guarantees" stable long-term results for the averages of random events. For example, while a casino may lose money in a single spin of the roulette wheel, its earnings will tend towards a predictable percentage over a large number of spins. Any winning streak by a player will eventually be overcome by the parameters of the game. It is important to remember that the LLN only applies when a large number of observations are considered. There is no principle that a small number of observations will coincide with the expected value or that a streak of one value will immediately be "balanced" by the others. See the Gambler's fallacy.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of Law of Large Numbers in Chaldean Numerology is: 3
Pythagorean Numerology
The numerical value of Law of Large Numbers in Pythagorean Numerology is: 3
Examples of Law of Large Numbers in a Sentence
Apple's been a fantastic story. While the law of large numbers means that iPhones and iPads may slow down, equally there are upgrade cycles that will provide visibility for some time to come, you clearly don't want to become too dependent on one customer ... but ARM doesn't care who stays in fashion between Apple and Samsung phones, and is used in products beyond phones as well.
The law of large numbers is happening, but nothing is dramatically broken with the iPhone market, and we think Apple is going to continue to be the innovation leader driving it forward.
Translations for Law of Large Numbers
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"Law of Large Numbers." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/Law+of+Large+Numbers>.
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