Definitions for sufficient statistic
suf·fi·cient statis·tic

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1. Sufficient statistic

   In statistics, a statistic is sufficient with respect to a statistical model and its associated unknown parameter if "no other statistic that can be calculated from the same sample provides any additional information as to the value of the parameter". In particular, a statistic is sufficient for a family of probability distributions if the sample from which it is calculated gives no additional information than the statistic, as to which of those probability distributions is the sampling distribution. A related concept is that of linear sufficiency, which is weaker than sufficiency but can be applied in some cases where there is no sufficient statistic, although it is restricted to linear estimators. The Kolmogorov structure function deals with individual finite data; the related notion there is the algorithmic sufficient statistic. The concept is due to Sir Ronald Fisher in 1920. Stephen Stigler noted in 1973 that the concept of sufficiency had fallen out of favor in descriptive statistics because of the strong dependence on an assumption of the distributional form (see Pitman–Koopman–Darmois theorem below), but remained very important in theoretical work.

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1. Sufficient statistic

   In statistics, a sufficient statistic is a statistic which has the property of sufficiency with respect to a statistical model and its associated unknown parameter, meaning that "no other statistic which can be calculated from the same sample provides any additional information as to the value of the parameter". A statistic is sufficient for a family of probability distributions if the sample from which it is calculated gives no additional information than does the statistic, as to which of those probability distributions is that of the population from which the sample was taken. Roughly, given a set of independent identically distributed data conditioned on an unknown parameter, a sufficient statistic is a function whose value contains all the information needed to compute any estimate of the parameter. Due to the factorization theorem, for a sufficient statistic, the joint distribution can be written as . From this factorization, it can easily be seen that the maximum likelihood estimate of will interact with only through . Typically, the sufficient statistic is a simple function of the data, e.g. the sum of all the data points.

How to pronounce sufficient statistic?

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How to say sufficient statistic in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of sufficient statistic in Chaldean Numerology is: 5

2. Pythagorean Numerology

   The numerical value of sufficient statistic in Pythagorean Numerology is: 7

References

1. ^ Wikipedia
   https://en.wikipedia.org/wiki/Sufficient_Statistic
2. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=sufficient statistic