Can you have infinite variance?

Models with infinite variance have right tails that extend to infinity. Variance is a measure of how spread out a distribution is. Distributions with infinite variance have fat upper tails that decrease at an extremely slow rate. The dataset’s empirical distribution function appears to decline like a power law.

Can expected value be infinite?

It is not surprising that the expected value is infinite when infinity is a possible value. However, the expected value can be infinite, even if the random variable is finite-valued. Let’s look at an example.

What is infinite variance?

Infinite variance happens when the integral (sum) defining the population variance increases beyond any finite bound as the limit is taken.

What is stopping time in Brownian motion?

Let. is a stopping time for Brownian motion, corresponding to the stopping rule: “stop as soon as the Brownian motion exceeds the value a.” . It corresponds to the stopping rule “stop as soon as the Brownian motion has been positive over a contiguous stretch of length 1 time unit.”

Can the variance of a random variable be infinite?

Not possible. A distribution with finite mean and infinite variance.

Which distribution has infinite variance?

Cauchy distribution
The Cauchy distribution has infinite variance but its mean is also undefined.

Is it possible for a random variable to have infinite mean?

Can a random variable be infinite?

A continuous random variable is one which takes an infinite number of possible values. Continuous random variables are usually measurements. Examples include height, weight, the amount of sugar in an orange, the time required to run a mile. A continuous random variable is not defined at specific values.

What distribution has infinite variance?

The Cauchy distribution has infinite variance but its mean is also undefined.

What is the basic difference between finite and infinite population?

The number of units in a finite population is denoted by N. Thus N is the size of the population. Sometimes it is not possible to count the units contained in the population. Such a population is called infinite or uncountable.