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In statistics, propagation of uncertainty (or propagation of error) is the effect of variables' uncertainties (or errors, more specifically random errors) ...
Uncertainty propagation is the quantification of uncertainties in system output(s) propagated from uncertain inputs. It focuses on the influence on the outputs from the parametric variability listed in the sources of uncertainty. The targets of uncertainty propagation analysis can be:
A more elegant way of writing the so-called "propagation of error" variance equation is to use matrices. [12] First define a vector of partial derivatives, as was used in Eq(8) above:
The propagation stage of uncertainty evaluation is known as the propagation of distributions, various approaches for which are available, including the GUM uncertainty framework, constituting the application of the law of propagation of uncertainty, and the characterization of the output quantity Y {\displaystyle Y} by a Gaussian or a t ...
In physical experiments uncertainty analysis, or experimental uncertainty assessment, deals with assessing the uncertainty in a measurement.An experiment designed to determine an effect, demonstrate a law, or estimate the numerical value of a physical variable will be affected by errors due to instrumentation, methodology, presence of confounding effects and so on.
The uncertainty principle, also known as Heisenberg's indeterminacy principle, is a fundamental concept in quantum mechanics. It states that there is a limit to the precision with which certain pairs of physical properties, such as position and momentum , can be simultaneously known.
Systematic errors are errors that are not determined by chance but are introduced by repeatable processes inherent to the system. [5] Sources of systematic errors include errors in equipment calibration, uncertainty in correction terms applied during experimental analysis, errors due the use of approximate theoretical models.
Uncertainty or incertitude refers to situations involving imperfect or unknown information.It applies to predictions of future events, to physical measurements that are already made, or to the unknown, and is particularly relevant for decision-making.