Premium
COMBINING TWO UNBIASED ESTIMATORS OF A COMMON MEAN OF TWO NORMAL POPULATIONS
Author(s) -
NANAYAKKARA NUWAN,
CRESSIE NOEL
Publication year - 1991
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1991.tb00411.x
Subject(s) - estimator , statistics , mathematics , bias of an estimator , best linear unbiased prediction , unbiased estimation , u statistic , efficiency , stein's unbiased risk estimate , minimum variance unbiased estimator , econometrics , computer science , artificial intelligence , selection (genetic algorithm)
Summary Consider estimating the common mean μ of two normal populations. Let () and () be the means and variances of two independent samples obtained from these populations. We give sufficient conditions for the choices of α 1 and α 2 in the unbiased estimator