1.
Exploratory Data Analysis
1.3. EDA Techniques 1.3.6. Probability Distributions 1.3.6.5. Estimating the Parameters of a Distribution


Method of Moments 
The method of moments equates sample moments to parameter estimates.
When moment methods are available, they have the advantage of
simplicity. The disadvantage is that they are often not available and
they do not have the desirable optimality properties of maximum
likelihood and least squares estimators.
The primary use of moment estimates is as starting values for the more precise maximum likelihood and least squares estimates. 

Software  Most general purpose statistical software does not include explicit method of moments parameter estimation commands. However, when utilized, the method of moment formulas tend to be straightforward and can be easily implemented in most statistical software programs. 