The problems of hypothesis testing and interval estimation of the squared multiple correlation coefficient of a multivariate normal distribution are considered. It is shown that available one-sided tests are uniformly most powerful, and the one-sided confidence intervals are uniformly most accurate. An exact method of calculating sample size to carry out one-sided tests (null hypothesis may inv...

The aspects of using a general amplitude probability density function in coherent detectors are investigated. For this purpose, the recently developed Generalised Bessel function K (GBK) distribution is used. The performance of the optimal detector of signals embedded in GBK-distributed interference is compared to the one of the uniformly most powerful invariant detector using extensive Monte C...

in statistical inference, the point estimation problem is very crucial and has a wide range of applications. when, we deal with some concepts such as random variables, the parameters of interest and estimates may be reported/observed as imprecise. therefore, the theory of fuzzy sets plays an important role in formulating such situations. in this paper, we rst recall the crisp uniformly minimum ...

The main purpose of this study is to discuss the uniform boundednessprinciple in fuzzifying topological linear spaces. At first theconcepts of uniformly boundedness principle and fuzzy equicontinuousfamily of linear operators are proposed, then the relations betweenfuzzy equicontinuous and uniformly bounded are studied, and with thehelp of net convergence, the characterization of fuzzyequiconti...

We consider the motivating problem of testing for association between a phenotype and multiple single nucleotide polymorphisms (SNPs) within a candidate gene or region. Various statistical approaches have been proposed, including those based on either (combining univariate) single-locus analyses or (multivariate) multilocus analyses. However, it is known in theory that there is no single unifor...

In the absence of uniformly most powerful (UMP) tests or uniformly most powerful invariant (UMPI) tests, King (1987c) suggested the use of Point Optimal (PO) tests, which are most powerful at a chosen point under the alternative hypothesis. This paper surveys the literature and major developments on point optimal testing since 1987 and suggests some areas for future research. Topics include tes...

Two independent statistical tests of item compromise are presented, one based on the test takers’ responses and other their response times (RTs) same items. The can be used to monitor an in real time during online continuous testing but also applicable as part post hoc forensic analysis. two statistics simple intuitive quantities sum RTs observed for takers item. Common features ease interpreta...

This paper presents a new filtering approach based on fuzzy-logic which has high performance in mixed noise environments. This filter is mainly based on the idea that each pixel is not allowed to be uniformly fired by each of the fuzzy rules. We perform several test experiments in order to highlight the merit of the proposed method. The results are very promising and indicating the high perform...

This paper proposes a new method for uniformly minimum variance unbiased fuzzy point estimation. For this purpose we make use of a uniformly minimum variance unbiased estimator and we develop this new method for a fuzzy random sample X̃1, . . . , X̃n is induced by X1, . . . , Xn on the same probability space. Zusammenfassung: In diesem Aufsatz schlagen wir eine neue Methode vor, um einen unverzer...