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estimator, unbiased concept

DefinitionA rule that produces an estimate of an unknown quantity from a sample, unbiased when its expectation over samples is that quantity. An estimate without a statement of its spread is not interpretable. Primer S section S.6. Also estimator, unbiased.
ExampleThe sample variance with n minus 1 is unbiased for the true variance, and with n it is too small by the factor (n minus 1) over n.
BookData Mining as Observation, draft 0.2, commit f3914f0; entry id estimator, kind concept.
Statusno ledger row names this entry. Corrections: none recorded.
Defining equationnone
Assumptions and scopenone
Prior artnone recorded
Evidencenone
Reviewedsemantic review 2026-09-09; generated 2026-09-10 from records at the commits on the provenance page.

Equation

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Conditions

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Ledger

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First stated

Primer S section S.6 of Data Mining as Observation, added in draft 0.3 (2026-09-09) for the ECE 514 readers whose first courses are far behind. The idea is standard and TSK Appendix C covers it at length.

Measurements

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Failures and corrections

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Invariance envelope

none declared

Machine checked

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Used in

Data Mining as Observation primer S, chapters 1, 2.

Related

sample variance; confidence interval; standard error; bootstrap.

See also

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Status

Generated 2026-09-10 by encyclopedia/generate.py; book at observation-data-mining f3914f0; the commit of every record is listed in the encyclopedia’s provenance.

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