# approximation

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Related to normal approximation: normal distribution, Central limit theorem

## ap·prox·i·ma·tion

(ə-prŏk′sə-mā′shən)
n.
1. The act, process, or result of approximating.
2. Mathematics An inexact result adequate for a given purpose.

## approximation

(əˌprɒksɪˈmeɪʃən)
n
1. the process or result of making a rough calculation, estimate, or guess: he based his conclusion on his own approximation of the fuel consumption.
2. an imprecise or unreliable record or version: an approximation of what really happened.
3. (Mathematics) maths an inexact number, relationship, or theory that is sufficiently accurate for a specific purpose
4. (Mathematics) maths
a. an estimate of the value of some quantity to a desired degree of accuracy
b. an expression in simpler terms than a given expression which approximates to it

## ap•prox•i•ma•tion

(əˌprɒk səˈmeɪ ʃən)

n.
1. an inexact computation or result that still falls within the required limits of accuracy.
2. the quality or state of being near or close: an approximation to the facts.
3. the act of drawing together.
[1400–50; late Middle English (< Middle French) < Medieval Latin]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 approximation - an approximate calculation of quantity or degree or worth; "an estimate of what it would cost"; "a rough idea how long it would take"scalage - estimation of the amount of lumber in a logfiguring, reckoning, calculation, computation - problem solving that involves numbers or quantitiescredit rating, credit - an estimate, based on previous dealings, of a person's or an organization's ability to fulfill their financial commitmentsdead reckoning, guessing, guesswork, guess, shot - an estimate based on little or no informationguesstimate, guestimate - an estimate that combines reasoning with guessingoverrating, overreckoning, overestimate, overestimation - a calculation that results in an estimate that is too highunderestimate, underestimation, underrating, underreckoning - an estimation that is too low; an estimate that is less than the true or actual value 2 approximation - the quality of coming near to identity (especially close in quantity)similarity - the quality of being similar 3 approximation - an imprecise or incomplete account; "newspapers gave only an approximation of the actual events"version - an interpretation of a matter from a particular viewpoint; "his version of the fight was different from mine" 4 approximation - the act of bringing near or bringing together especially the cut edges of tissuebringing close togetherjoining, connexion, connection - the act of bringing two things into contact (especially for communication); "the joining of hands around the table"; "there was a connection via the internet"

## approximation

noun
1. That's a fair approximation of the way the next boss will be chosen.
2. guess, estimate, conjecture, estimation, guesswork, rough idea, rough calculation, ballpark figure (informal), ballpark estimate (informal) That's an approximation, but my guess is there'll be a reasonable balance.

## approximation

noun
A rough or tentative calculation:
Translations
تَقْدير تَقريبيتَقريبي
løselig beregningoverslag
approksimaatioapproksimointiarviointilähentäminenlikiarvo
megközelítés
nálgun
približná hodnota
tahmintahmin etme

## approximation

[əˌprɒksɪˈmeɪʃən] N

## approximation

[əˌprɒksɪˈmeɪʃən] n
an approximation of sth
His lips pulled back in an approximation of a smile →
He had coarsened his voice to an approximation of cockney → Il avait rendu sa voix plus rauque pour imiter l'accent cockney.
an approximation to sth
This in an approximation to the Greek word → Ceci est une traduction approximative du mot grec.

## approximation

nAnnäherung f (→ of, to an +acc); (= figure, sum etc)(An)näherungswert m; his story was an approximation of the truthseine Geschichte entsprach in etwa or ungefähr der Wahrheit

## approximation

[əˈprɒksɪˈmeɪʃn] n

## approximate

very nearly correct or accurate; not intended to be absolutely correct. Give me an approximate answer!; Can you give me an approximate price for the job?
nearly; more or less. There will be approximately five hundred people present.
apˌproximˈation noun
1. a figure, answer etc which is not (intended to be) exact. This figure is just an approximation.
2. the process of estimating a figure etc. We decided on a price by a process of approximation.
References in periodicals archive ?
This is a misuse of the normal approximation. The rule cited refers to using the normal approximation to the sampling distribution of the mean.
We also construct a simple normal approximation and provide a mechanism for missing data analysis as well.
For large n, a normal approximation to our test statistic was recommended.
Because the sample sizes were large, the significance of the Mann-Whitney test was determined by employing a normal approximation (Z values) of a two-tailed Mann-Whitney test (Zar, 2010).
Most applied statistics books recommend using the normal approximation for the probability distribution of the sample mean when the number of observations exceeds 30.
This Normal approximation is a fundamental tool for inferences about the data's expected value in a wide variety of settings.
(8) One important implication of this result is that although [[lambda].sub.1] = 0, the correct asymptotic distribution of the normal test statistic of [[??].sub.1] is miscentered compared to the standard normal approximation and the shift to the left increases with the degree of over-identification.
Test section for proposition 1.1 Alternative Exact (Binomial) Normal Approximation using (P0) Hypothesis Decision Decision Prob level (5%) Z-Value Prob Level (5%) P>P0 0.0000 Reject H0 6.3281 0.0000 Reject H0 Table 4.
The following is a special instance of Corollary 2.1 of [19], which provides rates of normal approximation for integrals of the point measures [[mu].sub.[lambda]] against bounded test functions, whenever [xi] is exponentially stabilizing in the sense of Definition 1.1.
At the .10 significance level, the critical Z = 1.28, using the normal approximation to the binomial.
Personally, I think the binomial distribution and the normal approximation to binomial probabilities are probably the most difficult mathematics for most readers of this book.

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