Uniform Distribution

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uniform distribution

[′yü·nə‚fȯrm ‚di·strə′byü·shən]
(statistics)
The distribution of a random variable in which each value has the same probability of occurrence. Also known as rectangular distribution.

Uniform Distribution

 

a special type of probability distribution of a random variable X that takes on values in the interval (a - h, a + h). A uniform distribution is characterized by the probability density function

The mathematical expectation is EX = a, the variance is D X= h2/3, and the characteristic function is

By means of a linear transformation the interval (a - h, a + h) can be made to correspond to any given interval. Thus, the variable Y = (X - a + h)/2h is uniformly distributed over the interval (0, 1). Suppose the variables Y1, Y2,.…, Yn are uniformly distributed over the interval (0, 1). When their sum is normalized by the mathematical expectation n/2 and the variance n/12, the distribution law of the normalized sum rapidly approaches a normal distribution as n increases. In fact, the approximation is often sufficient for practical applications even when n = 3.

References in periodicals archive ?
The law, signed by President Rodrigo Duterte last August 7, mandates a 100-percent equal distribution of service charges collected, among rank-and-file and supervisory employees of hotels, restaurants and similar establishments (HRSEs).
He said that there was no shortage of water in the province but equal distribution of water was needed to be ensured.
Nazim Akhtar Nawaz Khan later announced equal distribution of funds to members, including the opposition's members and those elected on special seats.
The minister said that equal distribution of uplift programs have been made in new ADP for entire districts of the province and people of whole Khyber Pakhtunkhwa including merged areas would soon start enjoying the outcomes of policies initiated by PTI government.
In a statement here today, he said that new local bodies system will provide equal opportunities of development to all the areas of the province besides equal distribution of resources.
Parliamentary Leader of ANP, Sardar Hussain Babak on a point of order said that the government had pledged on the floor of the House an equal distribution of development funds among government and opposition members, but unfortunately it was not fulfilled.
IN reply to Mr Peter Reilly (Daily Post letters, November 22) with the rather grand title of Labour Land Campaign Liaison Officer, making a case for the equal distribution of wealth by introducing a land valuation tax.
The PKR deputy president said Putrajaya is not in a rush to accede to the convention, and Pakatan Harapan (PH) has already started working towards an equal distribution of wealth based on needs, and not race.
Stressing on their equal rights he said that national development must be balanced with the equal distribution of resources to both males and females, so women should have equal opportunities in all sphere of life.
It is not only families and married couples but also individuals who are increasingly using digital technology for day-to-day grocery needs, with more or less an equal distribution between the two segments.
NNA - In an interview with the "Voice of Lebanon 93.3" radio station on Tuesday, Deputy Mario Aoun said, "The soon to be formed cabinet will be the tenure's first, and it must be a government of national unity that intends no obstruction to the tenure's journey." "I must stress the importance of counterbalancing shares between parties and the equal distribution of government portfolios so that everything could be acceptable for everyone.
He directed Managing Director WASA to immediately start the repairing work of water tube-wells and ensure equal distribution of clean drinking water to Rawalpindi citizens.

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