functionally uniform consistent estimator - ορισμός. Τι είναι το functionally uniform consistent estimator
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Τι (ποιος) είναι functionally uniform consistent estimator - ορισμός

STATISTICAL ESTIMATOR CONVERGING IN PROBABILITY TO A TRUE PARAMETER AS SAMPLE SIZE INCREASES
Is consistent for; Strongly consistent; Statistical consistency; Consistency of an estimator; Statistical reliability; Consistent estimators; Inconsistent estimator; Consistent estimation

Estimator         
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USED IN MATHEMATICAL STATISTICS TO DETERMINE AN ESTIMATED VALUE
Efficiency bound; Restricted estimate; Unrestricted estimate; Asymptotically unbiased; Estimators; Asymptotically normal estimator; Parameter estimate; Universal estimator; Estimated value; Statistical estimate; Estimate (statistics)
·noun One who estimates or values; a valuer.
Estimator         
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USED IN MATHEMATICAL STATISTICS TO DETERMINE AN ESTIMATED VALUE
Efficiency bound; Restricted estimate; Unrestricted estimate; Asymptotically unbiased; Estimators; Asymptotically normal estimator; Parameter estimate; Universal estimator; Estimated value; Statistical estimate; Estimate (statistics)
In statistics, an estimator is a rule for calculating an estimate of a given quantity based on observed data: thus the rule (the estimator), the quantity of interest (the estimand) and its result (the estimate) are distinguished. For example, the sample mean is a commonly used estimator of the population mean.
Consistent histories         
INTERPRETATION OF QUANTUM MECHANICS BASED ON A CONSISTENCY CRITERION THAT ASSIGNS PROBABILITIES TO VARIOUS ALTERNATIVE HISTORIES OF A SYSTEM
Consistent Histories; Quantum history; Consistent histories interpretation; Decoherent histories
In quantum mechanics, the consistent histories (also referred to as decoherent histories) approach is intended to give a modern interpretation of quantum mechanics, generalising the conventional Copenhagen interpretation and providing a natural interpretation of quantum cosmology. This interpretation of quantum mechanics is based on a consistency criterion that then allows probabilities to be assigned to various alternative histories of a system such that the probabilities for each history obey the rules of classical probability while being consistent with the Schrödinger equation.

Βικιπαίδεια

Consistent estimator

In statistics, a consistent estimator or asymptotically consistent estimator is an estimator—a rule for computing estimates of a parameter θ0—having the property that as the number of data points used increases indefinitely, the resulting sequence of estimates converges in probability to θ0. This means that the distributions of the estimates become more and more concentrated near the true value of the parameter being estimated, so that the probability of the estimator being arbitrarily close to θ0 converges to one.

In practice one constructs an estimator as a function of an available sample of size n, and then imagines being able to keep collecting data and expanding the sample ad infinitum. In this way one would obtain a sequence of estimates indexed by n, and consistency is a property of what occurs as the sample size “grows to infinity”. If the sequence of estimates can be mathematically shown to converge in probability to the true value θ0, it is called a consistent estimator; otherwise the estimator is said to be inconsistent.

Consistency as defined here is sometimes referred to as weak consistency. When we replace convergence in probability with almost sure convergence, then the estimator is said to be strongly consistent. Consistency is related to bias; see bias versus consistency.