# distribution

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Related to T-distribution: T-test

## dis·tri·bu·tion

(dĭs′trə-byo͞o′shən)
n.
1. The process of distributing or the condition of being distributed, especially:
a. The process of marketing and supplying goods, especially to retailers.
b. Law The transmission of inherited property to its heirs after taxes, debts, and costs of the estate have been paid.
2. Something distributed; an allotment: distributions from a retirement account.
3. A spatial or temporal array of objects or events, especially:
a. The geographic occurrence or range of an organism.
b. The geographic occurrence or range of a custom, usage, or other feature.
4. Statistics A characterization of the occurrence of the actual unique values in a set of data (as in a frequency distribution) or of the theoretical unique values of a random variable (as in a probability distribution).
5. Mathematics A generalized function used in the study of partial differential equations.

## distribution

(ˌdɪstrɪˈbjuːʃən)
n
1. the act of distributing or the state or manner of being distributed
2. a thing or portion distributed
3. arrangement or location
4. (Commerce) commerce the process of physically satisfying the demand for goods and services
5. (Economics) economics the division of the total income of a community among its members, esp between labour incomes (wages and salaries) and property incomes (rents, interest, and dividends)
6. (Statistics) statistics the set of possible values of a random variable, or points in a sample space, considered in terms of new theoretical or observed frequency: a normal distribution.
7. (Law) law the apportioning of the estate of a deceased intestate among the persons entitled to share in it
8. (Law) law the lawful division of the assets of a bankrupt among his or her creditors
9. (Banking & Finance) finance
a. the division of part of a company's profit as a dividend to its shareholders
b. the amount paid by dividend in a particular distribution
10. (Automotive Engineering) engineering the way in which the fuel-air mixture is supplied to each cylinder of a multicylinder internal-combustion engine
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## dis•tri•bu•tion

(ˌdɪs trəˈbyu ʃən)

n.
1. an act or instance of distributing.
2. the state or manner of being distributed.
3. arrangement; classification.
4. something that is distributed.
5. the frequency of occurrence or the geographic place where any entity or category of entities occurs: the distribution of coniferous forests.
6. placement; disposition.
7. apportionment.
8. the delivery of an item or items to the intended recipients, as mail or newspapers.
9. the total number of an item delivered, sold, or given out.
10. the marketing, transporting, and selling of goods.
11. Statistics. a set of values or measurements of a set of elements, each measurement being associated with an element.
[1375–1425; < Latin]

## distribution

1. The arrangement of troops for any purpose, such as a battle, march, or maneuver.
2. A planned pattern of projectiles about a point.
3. A planned spread of fire to cover a desired frontage or depth.
4. An official delivery of anything, such as orders or supplies.
5. The operational process of synchronizing all elements of the logistic system to deliver the "right things" to the "right place" at the "right time" to support the geographic combatant commander.
6. The process of assigning military personnel to activities, units, or billets.
Dictionary of Military and Associated Terms. US Department of Defense 2005.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 distribution - (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrencestatistical distributionorganization, arrangement, organisation, system - an organized structure for arranging or classifying; "he changed the arrangement of the topics"; "the facts were familiar but it was in the organization of them that he was original"; "he tried to understand their system of classification"equidistribution - a flat distribution having equal frequencies of occurrencestatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parametersfrequency distribution - a distribution of observed frequencies of occurrence of the values of a variableGaussian distribution, normal distribution - a theoretical distribution with finite mean and variancePoisson distribution - a theoretical distribution that is a good approximation to the binomial distribution when the probability is small and the number of trials is largesample distribution, sampling, sample - items selected at random from a population and used to test hypotheses about the populationBernoulli distribution, binomial distribution - a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success 2 distribution - the spatial or geographic property of being scattered about over a range, area, or volume; "worldwide in distribution"; "the distribution of nerve fibers"; "in complementary distribution"dispersionspatial arrangement, spacing - the property possessed by an array of things that have space between themcomplementary distribution, complementation - (linguistics) a distribution of related speech sounds or forms in such a way that they only appear in different contextsdiaspora - the dispersion or spreading of something that was originally localized (as a people or language or culture)dissemination, diffusion - the property of being diffused or dispersedinnervation - the distribution of nerve fibers to an organ or body regionscatter, spread - a haphazard distribution in all directionscompactness, concentration, denseness, density, tightness - the spatial property of being crowded together 3 distribution - the act of distributing or spreading or apportioninghuman action, human activity, act, deed - something that people do or cause to happenassigning, assignment - the act of distributing something to designated places or persons; "the first task is the assignment of an address to each datum"redistribution - distributing again; "the revolution resulted in a redistribution of wealth"dispensation - the act of dispensing (giving out in portions)apportioning, apportionment, parceling, parcelling, assignation, allocation, allotment - the act of distributing by allotting or apportioning; distribution according to a plan; "the apportionment of seats in the House of Representatives is based on the relative population of each state"deal - the act of distributing playing cards; "the deal was passed around the table clockwise"revenue sharing - distribution of part of the federal tax income to states and municipalitiesshare-out, sharing - a distribution in shares 4 distribution - the commercial activity of transporting and selling goods from a producer to a consumercommerce, commercialism, mercantilism - transactions (sales and purchases) having the objective of supplying commodities (goods and services)marketing - the commercial processes involved in promoting and selling and distributing a product or service; "most companies have a manager in charge of marketing"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

## distribution

noun
2. a more equitable distribution of wealth
3. There will be a widespread distribution of leaflets.
4. those who control the distribution of jobs
Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002

## distribution

noun
1. The act of distributing or the condition of being distributed:
3. A way or condition of being arranged:
Translations
تَوْزيع
rozdánírozdělenírozdělování
distributionfordelinguddeling
jaotisjaotus
jakaumajakelujakoosaosuus
distribucijaraspodjelarazdioba
elosztás
úthlutun; dreifing
dystrybucja
distribúcia
distribucijaprodajarazdeljevanje
dağıtımdağıtmayayılma

## distribution

[ˌdɪstrɪˈbjuːʃən]
A. N [of wealth, population etc] → ; (= handing out) → (Comm) [of goods] → (Ling) →
B. CPD distribution cost Ngastos mpl de distribución
distribution network N
distribution rights NPLderechos mpl de distribución
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

## distribution

[ˌdɪstrɪˈbjuːʃən]
n
(= supplying, handing out) [food, supplies, newspaper] →
film distribution →
(= sharing) [resources, wealth, power] →
modif (= supply) [system] → ; [network] → ; [company] → distribution costdistribution cost n
Collins English/French Electronic Resource. © HarperCollins Publishers 2005

## distribution

n
(= act)Verteilung f; (of information)Verbreitung f; (Comm: of goods) → Vertrieb m; (= dealing: of drugs) → Handel m; (→ mit) (of films)Verleih m; (of dividends)Ausschüttung f; distribution networkVertriebsnetz nt; distribution rightsVertriebsrechte pl
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

## distribution

[dɪstrɪˈbjuːʃn] n
distribution costs → costi mpl di distribuzione
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

## distribute

(diˈstribjut) verb
1. to divide (something) among several (people); to deal out. He distributed sweets to all the children in the class.
2. to spread out widely. Our shops are distributed all over the city.
ˌdistriˈbution (-ˈbjuː-) noun
Kernerman English Multilingual Dictionary © 2006-2013 K Dictionaries Ltd.

## dis·tri·bu·tion

n. distribución.
English-Spanish Medical Dictionary © Farlex 2012
References in periodicals archive ?
Extended Student's t-Distribution. The Student's t-distribution serves as a robust alternative when it is desired to model data sets with atypical values and with a coefficient of kurtosis that is greater than of the normal distribution.
The student's t-distribution, with tractable second and fourth moments, supports financial models whose extremes are expected to occur more often than normal [Blattberg & Gonedes, 1974; Jorion, 2006; Lange et al, 1989].
Under the null hypothesis [H.sub.0], if [[sigma].sub.0] = [[sigma].sub.1], [T.sub.1] follows student's t-distribution with degrees of freedom (df) [n.sub.0] + [n.sub.1] - 2.
The t-statistic and the measure of degrees of freedom allows the researcher to evaluate whether the result is significant by comparing them to a table of values describing the way t-values are distributed (called a t-distribution).
A table containing values of the t-distribution can be consulted to determine [t.sub.[alpha]] for a specific number of degrees of freedom.
As the pedestrian feature adopted in this paper is approximately subordinate to T-distribution function, this paper constructed a new-type RBM with T-distribution function outermost layer nodes, and realized the function of transforming T-distribution function to Bernoulli distribution between the outermost structure and hidden structure.
They begin by summarizing the results of various models under normal theory with a brief review of the literature, then describes the basic properties of several known distributions, and open the discussion of multivariate t-distribution with its basic properties.
Then in [section]5 we apply the results of [section][section]3 and 4 to a nonGaussian distribution called Student's t-distribution which is a symmetric distribution with a larger tail than the corresponding Gaussian distribution.
Round the same time, special cases were investigated; Barndorff-Nielsen proposed the normal inverse Gaussian (NIG) [6], Hansen [7] was the first to propose the skewed Student's t-distribution, and Madan and Seneta [8], Madan and Milne [9], and Madan et al.
In the proposed scheme, we utilize the test statistic which has Student's t-distribution and further test whether the test statistic is larger than a certain decision threshold or not to detect the presence of an event.
The student t-distribution was used to calculate the probability of observing a result greater than 5.5 mM.

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