Normal Distribution The normal distribution (also known as the Gaussian distribution) is arguably the most important distribution in Statistics. It is often used to represent continuous random ...

Income inequality has been growing in the U.S. for decades. One way to look at it, to see how non-normal the distribution of income has become, is to consider a basic concept in statistics.

Despite the importance of data assumptions, many studies fail to report tests for normality. As a result, it’s unclear how many findings in finance and accounting research rest on shaky statistical ...

Instead, I'm going to take a different approach here. I'm going to wave my arms a lot, and give you enough examples to convince you that the normal distribution is not only correct, but is inevitable.

A useful theorem in statistics, *The Central Limit Theorem, states that sums and averages tend to follow a normal distribution, no matter what distribution the individual data values come from. For a ...

When a normal distribution is assumed, one can specify a level of probability (alpha level, level of significance, p) as a criterion for acceptance. In most cases, a 5% value can be assumed.

Ashis Kumar Chakraborty, Moutushi Chatterjee, On multivariate folded normal distribution, Sankhyā: The Indian Journal of Statistics, Series B (2008-), Vol. 75, No. 1 (May 2013), pp. 1-15 ...

H. Chernoff, S. Zacks, Estimating the Current Mean of a Normal Distribution which is Subjected to Changes in Time, The Annals of Mathematical Statistics, Vol. 35, No. 3 (Sep., 1964), pp. 999-1018 ...

A right-skewed or positive distribution means its tail is more pronounced on the right side than on the left. Since the distribution is positive, the assumption is that its value is positive.