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Statistics in Transition New Series
Polish Statistical Association
Central Statistical Office of Poland
Subject: Economics , Statistics & Probability
ISSN: 1234-7655
eISSN: 2450-0291
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REMARKS ON THE ESTIMATION OF POSITION PARAMETERS
Keywords : estimation, the positional parameters, statistical models
Citation Information : Statistics in Transition New Series. Volume 18, Issue 3, Pages 549-558, DOI: https://doi.org/10.21307/stattrans-2016-086
License : (CC BY 4.0)
Published Online: 20-November-2017
- ARTICLE
- FIGURES & TABLES
- REFERENCES
- EXTRA FILES
- COMMENTS
ARTICLE
ABSTRACT
The article contains some theoretical remarks about selected models of position parameters estimation as well as numerical examples of the problem. We ask a question concerning the existence of possible measures of the quality of interval estimation and we mention some popular measures applied to the task. Point estimation is insufficient in practical problems and it is rather interval estimation that is in wide use. Too wide interval suggests that the information available is not sufficient to make a decision and that we should look for more information, perhaps by increasing the sample size.
FIGURES & TABLES
REFERENCES
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LEHMANN, E.L., (1991). Teoria estymacji punktowej, Wydawnictwo Naukowe PWN, Warszawa.
NEYMAN, J., (1935). On the problem of confidence intervals, The Annals of Mathematical Statistics 6, p. 111.
NEYMAN, J., (1937). Outline of a Theory of Statistical Estimation Based on the Classical Theory of Probability. Phil. Trans. Royal Soc. London, A 236, p. 333
STEIN, C., (1956). Efficient nonparametric testing and estimation, Proc. Third Berkeley Symp. Math. Statist. Probab. 1, pp. 187–195.
ZIELIŃSKI, R., (2011). Statystyka matematyczna stosowana. Elementy, Centrum Studiów Zaawansowanych Politechniki Warszawskiej, Warszawa.