3 ms·
I agree. I'd also like to add that I think that generalizations of the median for higher dimensions should get explicit coverage, as well as a few related (and
by no_identd 9y ago
I agree. I'd also like to add that I think that generalizations of the median for higher dimensions should get explicit coverage, as well as a few related (and often neglected) concepts. Since the Wikipedia articles on this constitute a hot mess of not linking to each other in a sane way, I'll provide a list of articles on this topic here:
https://en.wikipedia.org/wiki/Fr%C3%A9chet_mean https://en.wikipedia.org/wiki/Fr%C3%A9chet_mean
https://en.wikipedia.org/wiki/Mode_(statistics)#Use https://en.wikipedia.org/wiki/Mode_(statistics)#Use
https://en.wikipedia.org/wiki/Central_tendency#Measures https://en.wikipedia.org/wiki/Central_tendency#Measures
https://en.wikipedia.org/wiki/Nonparametric_skew#Relationships_between_the_mean,_median_and_mode https://en.wikipedia.org/wiki/Nonparametric_skew#Relationshi...
https://en.wikipedia.org/wiki/Geometric_median https://en.wikipedia.org/wiki/Geometric_median
https://en.wikipedia.org/wiki/Weber_problem#Definition_and_history_of_the_Fermat,_Weber,_and_attraction-repulsion_problems https://en.wikipedia.org/wiki/Weber_problem#Definition_and_h...
https://en.wikipedia.org/wiki/Centerpoint_(geometry) https://en.wikipedia.org/wiki/Centerpoint_(geometry)
https://en.wikipedia.org/wiki/Trimean https://en.wikipedia.org/wiki/Trimean
https://en.wikipedia.org/wiki/K-medians_clustering https://en.wikipedia.org/wiki/K-medians_clustering
https://en.wikipedia.org/wiki/Medoid https://en.wikipedia.org/wiki/Medoid
https://en.wikipedia.org/wiki/Generalized_mean https://en.wikipedia.org/wiki/Generalized_mean
https://en.wikipedia.org/wiki/Quasi-arithmetic_mean https://en.wikipedia.org/wiki/Quasi-arithmetic_mean
https://en.wikipedia.org/wiki/Lehmer_mean#Special_cases https://en.wikipedia.org/wiki/Lehmer_mean#Special_cases
https://en.wikipedia.org/wiki/Logarithmic_mean#Generalization https://en.wikipedia.org/wiki/Logarithmic_mean#Generalizatio...
https://en.wikipedia.org/wiki/Stolarsky_mean#Special_cases https://en.wikipedia.org/wiki/Stolarsky_mean#Special_cases
https://en.wikipedia.org/wiki/Facility_location https://en.wikipedia.org/wiki/Facility_location
See Also:
https://en.wikipedia.org/wiki/Problem_of_points https://en.wikipedia.org/wiki/Problem_of_points
https://en.wikipedia.org/wiki/Chebyshev%27s_inequality https://en.wikipedia.org/wiki/Chebyshev%27s_inequality
https://en.wikipedia.org/wiki/L-estimator https://en.wikipedia.org/wiki/L-estimator
https://en.wikipedia.org/wiki/M-estimator https://en.wikipedia.org/wiki/M-estimator
- twic 9y agoI just came across the Stolarsky mean in a completely separate context. It seems like a really useful framework for unifying different kinds of central measures, similar to the idea in the original article here.