منابع مشابه
Hypothesis testing with finite memory in finite time (Corresp.)
Let X1,X,,. . . be a sequence of independent observations each drawn from an observation space I and each distributed according to a probability density function p(x). There are two possible states of nature Ho and HI with a priori probabilities n0 and nl. Under Ho, p(x) = pO(x), a known density, while under HI, p(x) = PI(X), also a known density. To determine the true state of nature we formul...
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In the first of a series of four articles the authors explain the statistical concepts of hypothesis testing and p values. In many clinical trials investigators test a null hypothesis that there is no difference between a new treatment and a placebo or between two treatments. The result of a single experiment will almost always show some difference between the experimental and the control group...
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This paper considers the testing of fuzzy hypotheses on the basis of a Bayesian approach. For this, using a notion of prior distribution with interval or fuzzy-valued parameters, we extend a concept of posterior probability of a fuzzy hypothesis. Some of its properties are also put into investigation. The feasibility and effectiveness of the proposed methods are also cla...
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Consider an exchangeable normal vector with parameters ????2, and ?. On the basis of a vector observation some tests about these parameters are found and their properties are discussed. A simulation study for these tests and a few nonparametric tests are presented. Some advantages and disadvantages of these tests are discussed and a few applications are given.
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Several practical problems of hypotheses testing can be under a general linear model analysis of variance which would be examined. In analysis of variance, when the response random variable Y , has linear relationship with several random variables X, another important model as analysis of covariance can be used. In this paper, assuming that Y is fuzzy and using DLR metric, a method for testing ...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1969
ISSN: 0003-4851
DOI: 10.1214/aoms/1177697590