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The determination of factors in linear models of factor analysis

Petr Kratochvíl (1990)

Aplikace matematiky

The author shows that a decomposition of a covariance matrix = 𝐀𝐀 ' implies the corresponding model, i.e. the existence of factors f j such that a i j f j is true. The result is applied to the general linear model of factor analysis. A procedure for computing the factor score is proposed.

The distribution of mathematical expectations of a randomized fuzzy variable.

V. B. Kuz'min, S. I. Travkin (1998)

Mathware and Soft Computing

The Shaffer's definition of the upper and lower expectations of fuzzy variables is considered with respect to randomized fuzzy sets. The notion of randomized fuzzy sets is introduced in order to evaluate fuzzy statistical indices for an arbitrary chosen fuzzy variable. Provided the distribution of the mathematical expectation of a randomized fuzzy variable is known, it is possible to adopt the traditional methods of testing statistical hypotheses for fuzzy variables.We show that this distribution...

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