APPLICATIONS OF MULTIVARIATE STATISTICAL ANALYSIS http://hdl.handle.net/11089/19334 2026-04-05T18:55:53Z 2026-04-05T18:55:53Z Korzeniewski, Jerzy http://hdl.handle.net/11089/19383 2021-07-05T11:11:51Z 2000-01-01T00:00:00Z

Sample Breakdown Points of the Wilcoxon and Sign Tests for Location Korzeniewski, Jerzy In 1996 Zhang introduced sample replacement points for the level and power of tests and their simplified versions. This paper presents numerical values of the breakdown points of the Wilcoxon and sign tests for location for the normal distribution. The results confirm the conclusions of He et al. (1990) as well as the asymptotic dominance of the power breakdown points of the sign tests over the Wilcoxon test. The breakdown points of the acceptance decision show a bit different behaviour.

2000-01-01T00:00:00Z Trzpiot, Grażyna http://hdl.handle.net/11089/19382 2018-02-01T11:21:01Z 2000-01-01T00:00:00Z

Multivalued Stop-Loss Stochastic Dominance Test Trzpiot, Grażyna Stochastic Dominance tests can be employed to assist decision-makers in ordering uncertain alternatives. Thes tests require specification of alternatives probability distributions and the assumption of the utility function of the decision-maker. With these assumptions, decision alternatives can be partitioned into classes by stochastic dominance or inverse stochastic dominance (stop-loss dominance). This paper notices procedures to identify this class of alternatives in case of multivalued probability distributions.

2000-01-01T00:00:00Z Wywiał, Janusz http://hdl.handle.net/11089/19381 2018-02-01T11:21:01Z 2000-01-01T00:00:00Z

Estimation of Mode on the Basis of a Truncated Sample Wywiał, Janusz The problem of estimation of the mode of a continuous distribution (unction is considered. The estimation of the mode based on estimators of the density function is well known, see e.g. Härdle (1991) and Parzen (1962). New parameters of the continuous distribution function will be defined: the quasi-mode and mean median. They are parameters of the appropriately truncated random variable. Next, the estimators of the mode, such as the sample quasi-mode or sample mean-median, are determined. These statistics are usually biased estimators of the mode. Well known “jackknife” procedure is adapted to estimate Their mean square error. The accuracy of the mode estimation is studied on the basis of computer simulation.

2000-01-01T00:00:00Z Malinowski, Grzegorz http://hdl.handle.net/11089/19380 2018-02-01T11:21:00Z 2000-01-01T00:00:00Z

Logical Many-Valuedness Versus Probability Malinowski, Grzegorz The aim of the papers is to present and discuss the most direct issues on relation between logical many-valuedness and logical probability i.e. probability related to propositions. Having introduced the reader into the realm of many-valued logics, we outline two faces of the problem. One is that logical values must not be identified with the probability values, the other concerns the so-called subjective probability which, as shown by Giles, may be interpreted within the infinite-valued logic of Łukasiewicz.

2000-01-01T00:00:00Z