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Using a Generalized Mean as a Measure of Location

โœ Scribed by Dr. Jeremy M. G. Taylor


Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
378 KB
Volume
29
Category
Article
ISSN
0323-3847

No coin nor oath required. For personal study only.

โœฆ Synopsis


Loe Angelea lsumnuzry I n TAYLOR (1985 a) a meaaure of location, akin to a generaheed mean WBB proposed, it's properties were studied for a particular family of skew diatributiom. The measure of location is essentially the retramformed mean after firat transforming the obeervations to an approximately symmetric acale. Here it's properties are investigated for more general skew distributions. I n particular, we study whether i t satiefiea the axiom for measurea of location given in BICKEL and LEEMANN (1975). We show that it is estimating approximately the distribution median and through ~imulationa we show that it ia more efficient than the sample median.


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