central
The Central Limit Theorem
A long standing problem of probability theory has been to find necessary and sufficient conditions for approximation of laws of sums of random variables. Then came Chebysheve, Liapounov and Markov and they came up with the central limit theorem. The central limit theorem allows you to measure the variability in your sample results by taking only one sample and it gives a pretty nice way to calculate the probabilities for the total , the average and the proportion based on your sample of information.

A statistical theory that states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population. Furthermore, all of the samples will follow an approximate normal distribution pattern, with all variances being approximately equal to the variance of the population divided by each sample's size. Using the central limit theorem allows you to find probabilities for each of these sample statistics without having to sample a lot.

The central limit theorem is a major probability theorem that tells you what sampling distribution is used for many different statistics, including the sample total, the sample average and the sample proportion. The main purpose of the Central limit theorem is to approximate normal distribution as long as n, the size of your sample is large enough. Let X be any random variable with µx and standard deviation бx (such as weight, gender, age etc). The amazing and counter-intuitive thing about the central limit theorem is that no matter what the shape of the original distribution, the sampling distribution of the mean approaches a normal distribution. Furthermore, for most distributions, a normal distribution is approached very quickly as N increases. If the sample size is sufficiently large, then the mean of a random sample from a population has a sampling distribution...

...CENTRALLIMITTHEOREM
There are many situations in business where populations are distributed normally; however, this is not always the case. Some examples of distributions that aren’t normal are incomes in a region that are skewed to one side and if you need to are looking at people’s ages but need to break them down to for men and women. We need a way to look at the frequency distributions of these examples. We can find them by using the...

...4/7/2013
The CentralLimitTheorem
In the practice of statistics, most problems involving a significance test (z or t test), finding a probability, or the determination of a confidence interval requires the usage of normal approximations. Most populations have roughly normal distributions that allow for a random sample to be taken and tested without caution. However, there are some populations that just don’t fit the description of “normal”....

...Serikbay Bagdat Serikbay 1
Moldir Oskenbay
English group 110
History of Kazakhstan
24 september 2014
Geography of central Asia 24.09.2014
Central Asia is the core region of the Asian continent and stretches from the Caspian Sea in the west to China in the east and from Afghanistan in the south to Russia in the north. It is also sometimes referred to as Middle Asia, and, colloquially, "the 'stans" (as the six countries generally...

...(2010) 14: 157–187 doi: 10.1093/rof/rfp018 Advance Access publication: 4 October 2009
The Limits of the Limits of Arbitrage
ALON BRAV1 , J.B. HEATON2 and SI LI3
Professor of Finance, Duke University Fuqua School of Business; 2 Partner, Bartlit Beck Herman Palenchar & Scott LLP; 3 Assistant Professor of Finance, Wilfrid Laurier University School of Business and Economics Abstract. We test the limits of arbitrage argument for the survival of...

...A Friend in Need is a Friend indeed Essay
There is nothing better than surrounded by good friends. You may look at some people and their friends with envy as they chat away happily and participate in activities together. It may be hard to figure out which friends are better when considering the friends who can have fun with and the friends that can get help from. From my perspective, the people who are willing to help me in the crisis time are much more cherished than who just want to stay...

...-------------------------------------------------
Pythagorean Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas, it states:
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two...

...bernoulli's theorem
ABSTRACT / SUMMARY
The main purpose of this experiment is to investigate the validity of the Bernoulli equation when applied to the steady flow of water in a tape red duct and to measure the flow rate and both static and total pressure heads in a rigid convergent/divergent tube of known geometry for a range of steady flow rates. The apparatus used is Bernoulli’s Theorem Demonstration Apparatus, F1-15. In this experiment, the pressure...

...BINOMIAL THEOREM :
AKSHAY MISHRA
XI A , K V 2 , GWALIOR
In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power (x + y)n into a sum involving terms of the form axbyc, where the coefficient of each term is a positive integer, and the sum of the exponents of x and y in each term is n. For example: The coefficients appearing in the binomial...

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