Linear model, Linear estimation, Linear prediction, Admissibility, Admissibility among an affine set, Locally best estimator,

No abstract

The aim of the article is to compare tourist attractiveness of Polish voivodships. Data published by the Central Statistical Office for 2014 was used in the research. The Hellwig’s method of taxonomic measure of development and the TOPSIS (Technique for Order Preference by Similarity Ideal Solution) were applied to assess tourist potential. The results were compared with the corresponding values of the Schneider’s tourist traffic density and intensity rate. The analysis shows that the highest tourist potential was recorded for Małopolskie and Silesian, while the lowest for: Podlaskie and Lubelskie Voivodships. An efficient use of tourist potential was demonstrated by i.a. Małopolskie, Silesian, Lower Silesian, Pomeranian and West Pomeranian Voivodships.

No abstract

A necessary and sufficient conditions for a linear estimator of a linear function of fixed and random effects in a balanced random model to be admissible are given. The formulae for admissible estimators depend on certain coefficients from the interval [0, 1], as in well-known results for other models (see e.g. Cohen [3]).