What is the best test statistic for gamma distribution?
https://math.berkeley.edu/~ribet/10A/2016/nov29.pdf
http://www.earthsurfacehydrology.nl/wp-content/uploads/2012/01/chapter4.pdf
You can find the answer for your question in the following link:
http://www.ism.ac.jp/editsec/aism/pdf/045_4_0773.pdf
very best regards
Dear Atena
Statistical tests are developed regarding linear combinations of
the parameters of several independent gamma populations. The tests are based
on a generalized minimum chi-square procedure. On utilizing these, one can
test hypotheses regarding the means or the scale parameters when the shape
parameters are unknown. In these tests there is no need to assume the equality
of the shape parameters of the underlying populations. Tests for comparing
coefficients of variation of several gamma populations have also been developed.
For the two population case, a power comparison of these tests with some
existing tests is also presented.
@STATISTICAL TESTS INVOLVING SEVERAL INDEPENDENT
GAMMA DISTRIBUTIONS
-BEST
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