The discussion focuses on standardized cumulants, specifically in the context of the Edgeworth series. Standardized cumulants, denoted as γ_r, differ from ordinary cumulants (κ_r) by being adjusted for mean and variance, particularly in the standard normal distribution where the mean is 0 and the variance is 1. The relationship between cumulants and moments is established, with κ_1 equating to the first moment (μ_1) and κ_2 defined as μ_2 - μ_1². This distinction is crucial for understanding higher-order approximations in probability theory.
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...and standardized cumulants [itex]\gamma_r[/itex].
jostpuur said:http://en.wikipedia.org/wiki/Edgeworth_series
What does "standardized cumulant" mean? It becomes clear in the context that it is something different from the ordinary cumulant, but how has it been altered?