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Q: What does it mean to say that the distribution is asymptotic?
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Continue Learning about Math & Arithmetic

Is it possible for a function that has a horizontal asymptote to attain the value of an asymptote?

Yes. Think of a function that starts at the origin, increases rapidly at first and then decays gradually to an asymptotic value of 0. It will have attained its asymptotic value at the start. For example, the Fisher F distribution, which is often used, in statistics, to test the significance of regression coefficients. Follow the link for more on the F distribution.


What does it mean when you say a variable is normally distributed?

It means that the probability distribution function of the variable is the Gaussian or normal distribution.


How do the width and height of a normal distribution curve?

By standard practice, the normal distribution curve should be normalized so that the area under the curve is 1. This results in a height, at the mean, of about 0.4, i.e. the probability of a sample value being equal to the mean is 40 percent. The width of the normal distribution curve is infinite, as the tails are asymptotic to the X axis. It is easier to understand that the +/- one sigma area is 68.2 percent, the +/- two sigma area is 95.4 percent, and the +/- three sigma area is 99.6 percent.


In mathematics what is asymptotic analysis?

In mathematics, an asymptotic analysis is a method of describing limiting behaviour. The methodology has applications across science such as the analysis of algorithms.


Which distribution function has equal mean and variance?

The exponential distribution and the Poisson distribution.