Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
A More Sophisticated Definition of the Sample Median
Abstract As the conventional definition of sample medians is not apt for special investigations belonging to the behaviours of the $ L_{1} $ norm in case of small samples, the authors propose a more sophisticated way to determine the sample median. If the latter values are denoted by MED and $ Q_{a} $ is the asymptotic semi-intersextile range (calculated as 0.9674 times the asymptotic scatter), the authors have found the curious result in case of Cauchy-type parent distribution that $ Q_{⤪ MED}=Q_{a}/sqrt{n} $ holds not only asymptotically but also for very small samples, too.
A More Sophisticated Definition of the Sample Median
Abstract As the conventional definition of sample medians is not apt for special investigations belonging to the behaviours of the $ L_{1} $ norm in case of small samples, the authors propose a more sophisticated way to determine the sample median. If the latter values are denoted by MED and $ Q_{a} $ is the asymptotic semi-intersextile range (calculated as 0.9674 times the asymptotic scatter), the authors have found the curious result in case of Cauchy-type parent distribution that $ Q_{⤪ MED}=Q_{a}/sqrt{n} $ holds not only asymptotically but also for very small samples, too.
A More Sophisticated Definition of the Sample Median
Steiner, F. (Autor:in) / Hajagos, B. (Autor:in)
1999
Aufsatz (Zeitschrift)
Englisch
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