Gdzie jest środek polski, czyli o problemie wyboru reprezentanta zbioru

• Autorzy: Arkadiusz Maciuk

Warianty tytułu

Where is the Middle of Poland or How to Choose the Representative of the Set

• Języki publikacji: PL

Abstrakty

Omówiono różne metody wyboru reprezentanta zbioru.

EN

In many cases a problem appears how to choose a point which would represent a set in the best way. Depending on the context such a point is called middle of the set, parameter of location, estimator, best representative or simply a representative of a set. There are many ways of choosing such a representative. What is essential is that the choice as such is preceded by setting the criteria of choice which depend among others on the type of the issue. A representative commonly used in probability issues should not be automatically used in determinism issues - as finding optimal location. In the article various representatives are presented as well as techniques and determinants of their choice. Specifically, local representatives are discussed - such that are dependent more on measure than size of the analyzed set. These issues are illustrated by the set of Polish communes. Where is the geographical middle of Poland? With which criteria can the city of Warsaw be the middle? Can they be set so that e.g. the city of Katowice is one? These are some interesting questions which can be answered analyzing the issues of choosing the representatives of the set. (original abstract)

Słowa kluczowe

PL

Matematyka; Zastosowanie matematyki

EN

Mathematics; Applications of mathematics

• Czasopismo: Prace Naukowe Akademii Ekonomicznej we Wrocławiu
• Rocznik: 2007
• Numer: nr 1189 Zastosowania metod ilościowych
• Strony: 202--210

Twórcy

autor

Arkadiusz Maciuk

• Akademia Ekonomiczna we Wrocławiu

Bibliografia

• Billingsley P., Prawdopodobieństwo i miara, PWN, Warszawa 1987.
• Brandt S., Analiza danych. Metody statystyczne i obliczeniowe, PWN, Warszawa 1998.
• Jajuga K., Some Additions to the Problem of Lp - Norm Based Parameters, [w:] Taksonomia 6, Prace Naukowe Akademii Ekonomicznej nr 817, AE, Wrocław 1999.
• Maciuk A., Bistandard, [w:] Ekonomia Matematyczna 3, AE, Wrocław 1999.
• Smoluk A., Uwagi o modzie, [w:] Taksonomia 4, AE, Wrocław 1997.