statistics, the term "error" arises in two ways. Firstly, it arises in the context of decision making, where the probability of error may be considered as...

Circular error probable (CEP), also circular error probability or circle of equal probability, is a measure of a weapon system's precision in the military...

error probability pe is the expected value of the bit error ratio. The bit error ratio can be considered as an approximate estimate of the bit error probability...

occurs often in probability, statistics, and partial differential equations. In statistics, for non-negative real values of x, the error function has the...

the error exponent of a hypothesis testing procedure is the rate at which the probabilities of Type I and Type II decay exponentially with the size of the...

Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of...

theory, the error exponent of a channel code or source code over the block length of the code is the rate at which the error probability decays exponentially...

possibility of making an error. Considering this, all statistical hypothesis tests have a probability of making type I and type II errors. The type I error rate...

P_{b}} , probability of bit-error P s {\displaystyle P_{s}} , probability of symbol-error Q ( x ) {\displaystyle Q(x)} will give the probability that a...

transmission will be affected only by noise. The probability density function of having an error of a given size can be modelled by a Gaussian function;...

error at any rate below a limiting rate, C. The converse is also important. If R > C {\displaystyle R>C} , an arbitrarily small probability of error is...

In statistics, family-wise error rate (FWER) is the probability of making one or more false discoveries, or type I errors when performing multiple hypotheses...

models where errors occur randomly and with a certain probability, and dynamic models where errors occur primarily in bursts. Consequently, error-detecting...

The standard error (SE) of a statistic (usually an estimator of a parameter, like the average or mean) is the standard deviation of its sampling distribution...

Pairwise error probability is the error probability that for a transmitted signal ( X {\displaystyle X} ) its corresponding but distorted version ( X ^...

Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations...

(disambiguation) Probability integral transform Probability interpretations Probability mass function Probability matching Probability metric Probability of error Probability...

scene. The prosecution stated that the probability of error was 1-in-9.7 billion. Simpson's DNA found on a trail of blood drops leading away from the victims...

human error-rate prediction (THERP) is a technique that is used in the field of Human Reliability Assessment (HRA) to evaluate the probability of human...

with an error probability bounded by 1/3 for all instances. BPP is one of the largest practical classes of problems, meaning most problems of interest...

with crossover probability p {\displaystyle p} , denoted by BSCp, is a channel with binary input and binary output and probability of error p {\displaystyle...

transferred with negligible probability of error, typically in the form of an information rate. Nevertheless, the term bits of information or simply bits...

we are unlucky and the test will think that n is prime. But, the probability of error can be reduced indefinitely by running the test many times with different...

The probability p {\displaystyle p} that an error occurs is independent of the position of the symbol. Errors are independent events – an error at one...

maximum probability of error scales as O ( d 2 log 2 ⁡ n ) {\displaystyle O(d^{2}\log _{2}n)} . The number of tests needed for a zero probability of error scales...

\arg \max _{k}\mu _{k}} with the least possible amount of trials and with probability of error P ( a ^ τ ≠ a ⋆ ) ≤ δ {\displaystyle \mathbb {P} ({\hat...

with a very low probability of error. Given a bound ϵ {\displaystyle \epsilon } on the admissible probability of error (the probability of finding that p...

rate is said to be achievable if there is a sequence of codes so that the maximum probability of error tends to zero as n {\displaystyle n} approaches infinity...

of uncertainty (or propagation of error) is the effect of variables' uncertainties (or errors, more specifically random errors) on the uncertainty of...

without error up to nearly a limit of C {\displaystyle C} bits per second. The converse is also important. If R > C {\displaystyle R>C} the probability of error...