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Research Communicate | 22-January-2018

IMPROVEMENT OF FUZZY MORTALITY MODELS BY MEANS OF ALGEBRAIC METHODS

algebra. If the membership function μ(z) of a fuzzy number is strictly monotonic on two disjoint intervals, then it can be decomposed into strictly decreasing and strictly increasing functions (z), (z), and the inverse functions f(u)=−1(u) and g(u)=−1(u), u ∈ [0, 1] can be found. Ishikawa (1997a) proposed foundations of the fuzzy measurement theory, which is a general measurement theory for classical and quantum systems. We have applied this approach, termed C*-measurement, as

Andrzej Szymański, Agnieszka Rossa

Statistics in Transition New Series, Volume 18 , ISSUE 4, 701–724

Article | 22-July-2019

TESTING HYPOTHESES ABOUT STRUCTURE OF PARAMETERS IN MODELS WITH BLOCK COMPOUND SYMMETRIC COVARIANCE STRUCTURE

In this article we deal with testing the hypotheses of the so-called structured mean vector and the structure of a covariance matrix. For testing the above mentioned hypotheses Jordan algebra properties are used and tests based on best quadratic unbiased estimators (BQUE) are constructed. For convenience coordinate-free approach (see Kruskal (1968) and Drygas (1970)) is used as a tool for characterization of best unbiased estimators and testing hypotheses. To obtain the test for mean vector

Roman Zmyslony, Arkadiusz Kozioł

Statistics in Transition New Series, Volume 20 , ISSUE 2, 139–153

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