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April 7

Homogeneity of variance and mean

If homoscedasticity is homogeneity of variance, how would you refer to homogeneity of mean? I'm looking for a scholarly term with Greek roots, similar to homoscedasticity. My best guess is something like homomesoic, from μέσος. Thank you Wikipedians. Schyler (exquirere bonum ipsum) 18:10, 7 April 2017 (UTC)[reply]

Words related to the adjective μεσος appear to have a basic "o" vowel in a few forms, such as μεσοω (denominal verb) and perhaps μεσοτης, but much more often, such a vowel elides before a suffix or second part of compound which begins with a vowel. I'm not sure that English "oi" derived from Greek stem suffix omicron + another suffix beginning with iota occurs too often (in "paleozoic", "zo-" is a root, while "-oid" originally had a digamma in the middle, and is spelled epsilon-iota)... AnonMoos (talk) 02:20, 8 April 2017 (UTC)[reply]

I'm curious as to the context in which you found a need for a word for "same mean". What is special about the property of variables having the same mean? --PalaceGuard008 (Talk) 22:36, 8 April 2017 (UTC)[reply]

In a stationary time series, the mean and amplitude of a variable is not statistically significantly different over time. The mean squared amplitude is the variance. If the variance is statistically constant, it is homoscedastic, but that is only one aspect of stationarity; a stationary time series then is both homoscedastic and homomesic. Schyler (exquirere bonum ipsum) 03:10, 10 April 2017 (UTC)[reply]