Fitting T2 distribution may be a problem.

Today, I found that the prediction of T2 distribution may be unrealistic.

Summary:

The x-axis of T2 distribution is location such as 1, 2, 3, 4…… the y-axis of T2 distribution is the value that we want to predict.

If we want to fit T2 distribution with some other distributions, we should first know what these distributions are. Usually, we use the probability density function of distributions. The x-axis of some distribution is the values and the y-axis of it is the probability. So they are different from T2 distribution.

From Hess data, we know that there are 64 values in one specific depth. So the x-axis of T2 distribution is 1 to 64. The y-axis of T2 distribution is the value we want. Assuming that the 5^th and the 20^th value are the same, so they have the same y-value in T2 distribution figure. However, when we use the 64 data to do distribution fitting, the two values are regarded as the same one. They would both have the same x-axis value in the distribution and they contribute to the value’s probability as y-axis. As a result, the distribution we predict is totally different as the T2 distribution.

Tomorrow, I want to have a meeting with you if you have time.