منابع مشابه
On the normality of numbers to different bases
We ask whether normality to one base is related to normality to another. Maxfield in 1953 proved that a real number is normal to a base exactly when it is normal to every base multiplicatively dependent to that base (two numbers are multiplicatively dependent when one is a rational power of the other.) Schmidt (1961/1962) showed that this is the only restriction on the set of bases to which a r...
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Generalized variance is applied for determination of dispersion in a multivariate population and is a successful measure for concentration of multivariate data. In this article, we consider constructing confidence interval and testing the hypotheses about generalized variance in a multivariate normal distribution and give a computational approach. Simulation studies are performed to compare thi...
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In this paper we will investigate the normality in (WN) and (Y) classes.
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A number is normal to the base r if, in its expansion to that base, all possible digit strings of length t are equally frequent for each t. While it is generally believed that many familiar irrational constants are normal, normality has only been proven for numbers expressly invented for the purpose of proving their normality. In this study we give an overview of the main results to date. We th...
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For estimating the unknown parameters in an unstable autoregressive AR(p), the paper proposes sequential least squares estimates with a special stopping time defined by the trace of the observed Fisher information matrix. The limiting distribution of the sequential LSE is shown to be normal for the parameter vector lying both inside the stability region and on some part of its boundary in contr...
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ژورنال
عنوان ژورنال: British Journal of Education, Society & Behavioural Science
سال: 2015
ISSN: 2278-0998
DOI: 10.9734/bjesbs/2015/20363