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Template {} is used to create summaries of IETF RFCs, generated from a repository of preformatted references. You are explicitly invited to add new references or improve existing ones. It uses template {{ Ref RFC/summary }} to generate the summary.
When treating the weights as constants, and having a sample of n observations from uncorrelated random variables, all with the same variance and expectation (as is the case for i.i.d random variables), then the variance of the weighted mean can be estimated as the multiplication of the unweighted variance by Kish's design effect (see proof):
Template {} is used to create summaries of IETF RFCs, generated from a repository of preformatted references. You are explicitly invited to add new references or improve existing ones. It uses template {{ Ref RFC/summary }} to generate the summary.
This template performs addition. For example, if you want to add 2 and 3, use this: {{sum | 2 | 3}}, which creates 5.It handles positive and negative integers, fractions, and decimals to thirteen decimal points:
This algorithm can easily be adapted to compute the variance of a finite population: simply divide by n instead of n − 1 on the last line.. Because SumSq and (Sum×Sum)/n can be very similar numbers, cancellation can lead to the precision of the result to be much less than the inherent precision of the floating-point arithmetic used to perform the computation.
The general regression model with n observations and k explanators, the first of which is a constant unit vector whose coefficient is the regression intercept, is = + where y is an n × 1 vector of dependent variable observations, each column of the n × k matrix X is a vector of observations on one of the k explanators, is a k × 1 vector of true coefficients, and e is an n × 1 vector of the ...
It may be used to prove Nicomachus's theorem that the sum of the first cubes equals the square of the sum of the first positive integers. [2] Summation by parts is frequently used to prove Abel's theorem and Dirichlet's test.
The template to the right includes links to alphabetical lists of all mathematical articles. This article brings together the same content organized in a manner better suited for browsing. Lists cover aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, and reference ...
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