# Generalized minimum chi-square estimators?

I need to implement the generalized minimum chi-square estimators (alternative to L-moments method and maximum likelihood estimate (MLE)) for estimate the parameters of the gamma distribution. My first question is: for the generalized minimum chi-square estimators method, what is the correct bibliography (paper, book, etc.) to cite? and does anyone know of any package in R (or other software) where this method is implemented?

Thank you all

• Minimum chi-square for estimation is quite old; Neyman and Pearson discuss some of its properties in 1928, but it was being used long before - before estimation by maximum likelihood, for example. You may find Harris and Kanji (1983) "On the Use of Minimum Chi-Square Estimation," Journal of the Royal Statistical Society. Series D (The Statistician) Vol. 32, No. 4 (Dec.), pp. 379-394 of some help in locating additional references. – Glen_b Jul 8 '15 at 3:31

There is a nice paper by Joseph Berkson, "Minimum chi-square, not maximum likelihood!", The Annals of Statistics 1980; 8(3): 457-487. In R there are several packages for least-squares estimation; for minimum chi-square estimation, mipfp may be worth a look.