Publication

Assembly and method for a correlator structure

Horst Arthur Vogel
2001
Patents

Abstract

The invention concerns an assembly comprising: (a) means for determining the intensity of a plurality of electromagnetic signals, (b) a correlator for correlating or autocorrelating said signals, (c) means for continuously calculating the variance and/or the standard deviation of said signals. It also concerns a method for analysing the intensity of a plurality of electromagnetic radiations scattered and/or emitted from solid, fluid or gaseous samples.

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Horst Arthur Vogel
2001
Patents

Abstract

Official source

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Unbiased estimation of standard deviation

In statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation (a measure of statistical dispersion) of a population of values, in such a way that the expected value of the calculation equals the true value. Except in some important situations, outlined later, the task has little relevance to applications of statistics since its need is avoided by standard procedures, such as the use of significance tests and confidence intervals, or by using Bayesian analysis.

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In mathematics and statistics, deviation is a measure of difference between the observed value of a variable and some other value, often that variable's mean. The sign of the deviation reports the direction of that difference (the deviation is positive when the observed value exceeds the reference value). The magnitude of the value indicates the size of the difference. Errors and residuals A deviation that is a difference between an observed value and the true value of a quantity of interest (where true value denotes the Expected Value, such as the population mean) is an error.

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