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Meaning of "central limit theorem" in the English dictionary

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PRONUNCIATION OF CENTRAL LIMIT THEOREM

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GRAMMATICAL CATEGORY OF CENTRAL LIMIT THEOREM

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Central limit theorem is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES CENTRAL LIMIT THEOREM MEAN IN ENGLISH?

central limit theorem

Central limit theorem

In probability theory, the central limit theorem states that, given certain conditions, the arithmetic mean of a sufficiently large number of iterates of independent random variables, each with a well-defined expected value and well-defined variance, will be approximately normally distributed. That is, suppose that a sample is obtained containing a large number of observations, each observation being randomly generated in a way that does not depend on the values of the other observations, and that the arithmetic average of the observed values is computed. If this procedure is performed many times, the central limit theorem says that the computed values of the average will be distributed according to the normal distribution. The central limit theorem has a number of variants. In its common form, the random variables must be identically distributed. In variants, convergence of the mean to the normal distribution also occurs for non-identical distributions, given that they comply with certain conditions. In more general probability theory, a central limit theorem is any of a set of weak-convergence theorems.

Definition of central limit theorem in the English dictionary

The definition of central limit theorem in the dictionary is the fundamental result that the sum of independent identically distributed random variables with finite variance approaches a normally distributed random variable as their number increases, whence in particular if enough samples are repeatedly drawn from any population, the sum of the sample values can be thought of, approximately, as an outcome from a normally distributed random variable.

WORDS THAT BEGIN LIKE CENTRAL LIMIT THEOREM

central government
central heating
Central India Agency
Central Intelligence Agency
Central Karoo
Central Karroo
central locking
central locking device
central nervous system
Central Powers
central processing unit
Central Provinces
Central Provinces and Berar
Central Region
central reservation
central reserve

WORDS THAT END LIKE CENTRAL LIMIT THEOREM

ad rem
ad valorem
Bayes´ theorem
binomial theorem
crem
deduction theorem
Fermat´s last theorem
Gresham´s theorem
harem
in rem
millirem
Nernst heat theorem
Poynting theorem
prem
Pythagoras´ theorem
theorem
Unitas Fratrem

Synonyms and antonyms of central limit theorem in the English dictionary of synonyms

SYNONYMS

Translation of «central limit theorem» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF CENTRAL LIMIT THEOREM

Find out the translation of central limit theorem to 25 languages with our English multilingual translator.
The translations of central limit theorem from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «central limit theorem» in English.

Translator English - Chinese

中心极限定理
1,325 millions of speakers

Translator English - Spanish

teorema del límite central
570 millions of speakers

English

central limit theorem
510 millions of speakers

Translator English - Hindi

केंद्रीय सीमा प्रमेय
380 millions of speakers
ar

Translator English - Arabic

نظرية النهاية المركزية
280 millions of speakers

Translator English - Russian

Центральная предельная теорема
278 millions of speakers

Translator English - Portuguese

teorema do limite central
270 millions of speakers

Translator English - Bengali

কেন্দ্রীয় সীমা উপপাদ্য
260 millions of speakers

Translator English - French

théorème central limite
220 millions of speakers

Translator English - Malay

Teorem had pusat
190 millions of speakers

Translator English - German

zentrale Grenzwertsatz
180 millions of speakers

Translator English - Japanese

中心極限定理
130 millions of speakers

Translator English - Korean

중심 극한 정리
85 millions of speakers

Translator English - Javanese

Teorema watesan tengah
85 millions of speakers
vi

Translator English - Vietnamese

định lý giới hạn trung tâm
80 millions of speakers

Translator English - Tamil

மைய எல்லை தேற்றம்
75 millions of speakers

Translator English - Marathi

केंद्रिय मर्यादा प्रमेय
75 millions of speakers

Translator English - Turkish

Merkezi Limit Teoremi
70 millions of speakers

Translator English - Italian

teorema del limite centrale
65 millions of speakers

Translator English - Polish

centralne twierdzenie graniczne
50 millions of speakers

Translator English - Ukrainian

Центральна гранична теорема
40 millions of speakers

Translator English - Romanian

teorema limită centrală
30 millions of speakers
el

Translator English - Greek

κεντρικό οριακό θεώρημα
15 millions of speakers
af

Translator English - Afrikaans

sentrale limietstelling
14 millions of speakers
sv

Translator English - Swedish

centrala gränsvärdessatsen
10 millions of speakers
no

Translator English - Norwegian

sentralgrenseteoremet
5 millions of speakers

Trends of use of central limit theorem

TRENDS

TENDENCIES OF USE OF THE TERM «CENTRAL LIMIT THEOREM»

The term «central limit theorem» is regularly used and occupies the 60.476 position in our list of most widely used terms in the English dictionary.
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100%
FREQUENCY
Regularly used
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/100
The map shown above gives the frequency of use of the term «central limit theorem» in the different countries.
Principal search tendencies and common uses of central limit theorem
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «central limit theorem».

FREQUENCY OF USE OF THE TERM «CENTRAL LIMIT THEOREM» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «central limit theorem» during the past 500 years. Its implementation is based on analysing how often the term «central limit theorem» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about central limit theorem

EXAMPLES

10 ENGLISH BOOKS RELATING TO «CENTRAL LIMIT THEOREM»

Discover the use of central limit theorem in the following bibliographical selection. Books relating to central limit theorem and brief extracts from same to provide context of its use in English literature.
1
A History of the Central Limit Theorem: From Classical to ...
This study aims to embed the history of the central limit theorem within the history of the development of probability theory from its classical to its modern shape, and, more generally, within the corresponding development of mathematics.
Hans Fischer, 2010
2
Information Theory and the Central Limit Theorem
Annotation. - Presents surprising, interesting connections between two apparently separate areas of mathematics- Written by one of the researchers who discovered these connections- Offers a new way of looking at familiar results.
Oliver Johnson, 2004
3
Uniform Central Limit Theorems
In this new edition of a classic work on empirical processes the author, an acknowledged expert, gives a thorough treatment of the subject with the addition of several proved theorems not included in the first edition, including the ...
R. M. Dudley, 2014
4
The Life and Times of the Central Limit Theorem
Pafnuti Lvovich Chebyshev added another dimension to the Central Limit Theorem by bringing to it a new standard of rigor and taking it from the cradle of nature to the world of abstract mathematics. His Central Limit Theorem was the first of a ...
William J. Adams, 2009
5
Central Limit Theorem for Markov Chains on Compact Abelian ...
Defining an irreducible, aperiodic and symmetric random walk on an Abelian Group G, we use Fourier analysis to investigate a borderline between the recurrent and transient cases for such random walk.
Mohammadreza Jalali, 2008
6
Computational Geosciences with Mathematica
4.10. Illustrating. the. Central. Limit. Theorem. The Central Limit Theorem, which is at the core of modern statistical theory, states that the sums or means of a large number of samples selected at random from almost any non-normal distribution ...
William Haneberg, 2004
7
A Student's Guide to Analysis of Variance
First, we will discuss why the Analysis of Variance test 'works' (the central limit theorem). We will then discuss the key assumptions underlying these designs, how to determine whether they have been violated, and some suggestions for action ...
Maxwell J. Roberts, Riccardo Russo, 1999
8
A Graphical Approach for Verification of the Central Limit ...
The distribution of the sample mean, when sampling from a normally distributed population, is known to be normal.
Suresh Kumar Veluchamy, 2005
9
Statistics of Earth Science Data: Their Distribution in ...
Statistical. Inference: Estimation. and. Hypothesis. Tests. 4. n% Fig. 4.1. The Central Limit Theorem reveals that the. Confidence intervals around the mean are of great practical importance as they convey the importance of our results and  ...
G. J. Borradaile, 2003
10
A History of Parametric Statistical Inference from Bernoulli ...
12.1 The Central Limit Theorem, 1810 and 1812 It is a remarkable fact that Laplace simultaneously worked on statistical inference by inverse probability, 1774—1786, and by direct probability, 1776—1781. In 1776 he derived the distribution of ...
Anders Hald, 2008

10 NEWS ITEMS WHICH INCLUDE THE TERM «CENTRAL LIMIT THEOREM»

Find out what the national and international press are talking about and how the term central limit theorem is used in the context of the following news items.
1
Gambling with time: how making poker machines fair would reduce …
Given a random stopping decision, the central limit theorem states that gambling returns would be normally distributed, around a mean of zero. «The Conversation AU, Jun 15»
2
Mcgarrybowen Creates a Mobile Game That Can Defend the Earth …
Thanks to the central limit theorem, if enough users match one asteroid with one particular pattern, it's guaranteed to be the correct one. «Adweek, Jun 15»
3
​ALAN TURING: 33 facts about the genius codebreaker on his …
At King's, he was elected a fellow on the strength of his dissertation to prove the central limit theorem. 18. He proved there was no solution to ... «MK News, Jun 15»
4
How to lose $10m a second
Known as the Central Limit Theorem, it rarely attracts attention outside the academic world. Yet it has led to a much better-known concept ... «The National, Jun 15»
5
What is Complexity Theory?
In mathematics we have something called the Central Limit Theorem (CLT). The CLT deals with distributions of distributions. More specifically ... «Pulse, Jun 15»
6
Data Science is Replacing Statistics
Then via some simple calculus and the central limit theorem we get variance, standard deviation (SD) and gaussian distributions having very ... «Pulse, May 15»
7
P-Values and Exploratory Research
More, it will be normally distributed if the conditions of the central limit theorem are fulfilled. PsyoSkeptic. I'm not sure where this comes from. «Discover Magazine, Mar 15»
8
Pi's Top Five
The normal distribution plays an essential role in statistics, science, and finance because of its connection to the Central Limit Theorem. It was ... «Huffington Post, Mar 15»
9
The earliest stages of star formation in the Ophiuchus molecular cloud
Previous research has shown that a log-normal distribution arises when the central limit theorem is applied to isothermal turbulence. «Phys.Org, Feb 15»
10
Implications Of Sector Performances For 2015 Using Parametric …
In statistics, this is called the central limit theorem (CLT). More specifically, the theorem suggests that the arithmetic mean of a sufficiently large ... «Seeking Alpha, Jan 15»

REFERENCE
« EDUCALINGO. Central limit theorem [online]. Available <https://educalingo.com/en/dic-en/central-limit-theorem>. Apr 2024 ».
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