Further down the page is the example of a normal distribution with unknown mean and variance.

Next, consider the case of a normal distribution with unknown mean and unknown variance.

The climate is temperate with little variance in temperatures throughout the year.

These lesions common occur by patients with positive ulnar variance.

It is the conjugate prior of a normal distribution with unknown mean and variance.

It is well known that for a random variable with mean and variance :

The two quarterly return series' linear correlation was measured at 96.7%, with shared variance of 93.6%.

However, the above equation is not the same as an improper prior or normal distribution with infinite variance.

The mean of the sample "m" is also distributed normally with variance "s".

Modeling the changes by distributions with finite variance is now known to be inappropriate.