Methodology
Suppose that the problem is to estimate unknown parameters characterizing a distribution . Suppose of the moments of the true distribution can be expressed as functions of the s:
Let be the j-th sample moment corresponding to the population moment . The method of moments estimator for denoted by is defined by the solution (if there is one) to the equations:
Read more about this topic: Method Of Moments (statistics)
Famous quotes containing the word methodology:
“One might get the impression that I recommend a new methodology which replaces induction by counterinduction and uses a multiplicity of theories, metaphysical views, fairy tales, instead of the customary pair theory/observation. This impression would certainly be mistaken. My intention is not to replace one set of general rules by another such set: my intention is rather to convince the reader that all methodologies, even the most obvious ones, have their limits.”
—Paul Feyerabend (1924–1994)