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Uitbijternegerende schatters bij duplobepalingen
Author(s) -
Keuls M.
Publication year - 1963
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1963.tb01048.x
Subject(s) - estimator , mathematics , random variable , random error , statistics , observational error , set (abstract data type) , errors in variables models , computer science , programming language
Summary Outlyer‐ignoring estimators for measurement in duplo. By hypothesis a measurement u is the sum of two independent random variables, the normal random variable with expectation μ, and standard error σ, and a random error φ: Basically two independent measurements u 1 and u 2 over u are to give the estimate x=1/2(u 1 + u 2 ) over μ. However, to reduce the effect of the error φ on a final estimate of μ, one adds, according to a common practice, a third or even a fourth measurement u 3 , u 4 , in the case that the basic pair differs by more than a number A. For this extended set of measurements two outlyer‐ignoring estimator y and z of μ are defined, and investigated against three specifications fo the error φ. Also an outlyer‐ignoring estimate of σ is considered, and its application is illustrated by an example.