Maximum Likelihood Estimate

Today, I found one method (MLE) that could be useful for my research.

Summary:
It is Maximum Likelihood Estimate (MLE).
It is about how to estimate one parameter so that the probability of our sample (NMR T2 distribution) happening could be the largest. The method can not make sure to predict NMR T2 distribution, it can just adjust parameters to make the probability to be the largest.
If it could be applied to NMR T2 distribution, the steps may be:
1. set parameters for normal and log-normal distributions;
2. build the estimating function;
3. solve the function;
4. obtain the best parameters;
5. estimate the errors and evaluate the results.

For now, I am trying to know how to build the estimating function with these parameters. I will try to set parameters reasonably so that it can be applied to this method.

Tomorrow, I will continue to learn about this method.