We study the stability of the classical optimal sequential probability ratio test based on independent identically distributed observations X1, X2, . . . when testing two simple hypotheses about their common density f : f = f0 versus f = f1. As a functional to be minimized, it is used a weighted sum of the average (under f0) sample number and the two types error probabilities. We prove that the...

To ensure the conformance of an implementation under test (in the following IUT) with respect to a specification requires, in general, the application of an infinite number of tests. In order to use finite test suites, most testing methodologies add some feasible hypotheses about the behavior of the IUT. Since these methodologies are designed for considering a fix set of hypotheses, they usuall...

The anomaly detection and localization problem can be treated as a multiple hypotheses testing (MHT) problem in the Bayesian framework. The Bayesian test with the 0-1 loss function is a standard solution for this problem, but the alternative hypotheses have quite different importance in practice. The 0-1 loss function does not reflect this fact while the quadratic loss function is more appropri...

This paper describes the main ideas used in the development of a fuzzy classifier system which induces fuzzy hypotheses from a set of examples described by fuzzy real numbers and an associated crisp class. It presents and discusses some results obtained using a prototype system.

Users are often interested in answers to vaguely defined questions that. are nat,ural for human but. inconvenient for the machine. The traditional query languages manage binary queries only. In t,his paper we suggest how to construct fuzzy queries t,hat apply to random data. We reach our goal by combining fuzzy query wit,h a suitable stat.ist.ica1 test. for fuzzy hypotheses.

Nested Generalized Exemplar (NGE) theory is an incremental form of inductive learning from examples. This paper presents a Fuzzy NGE learning system which induces fuzzy hypotheses from a set of examples described by fuzzy attributes and a crisp class. It presents and discusses the main concepts which supported the development of this system. An empirical evaluation of the FNGE prototype system ...

The purpose of this paper is to examine the effects of inflation and operating cycle on cash holding in Tehran Stock Exchange in the period 2010 to 2014.The sample is comprised of 103 companies which are selected by systematic elimination method and total of 515 year-firm collected. In this study for testing the hypothesis is used of linear regression and correlation. To analyse data and test h...

In this paper we address lhe issues brought by Elkan in his article, "The Paradoxical Success of Fuzzy Logic" [3]. Elkan's work has caused concem since purportedly reveals a Fuzzy Logic weakness regarding its theoretical foundations. A further investigation of Elkan's theorem ("theorem 1") revealed that its conclusion is not correct. Afier indicating lhe points where we disagree with Elkan, we ...

in this paper, a new method is introduced for sperm detection in microscopic images for infertility treatment. in this method, firstly a hypothesis testing function is defined to separate sperms from plasma, non-sperm semen particles and noise. then, some primary candidates are selected for sperms by watershed-based segmentation algorithm. finally, candidates are either confirmed or rejected us...