Estimation of the best linear unbiased predictor for the mean with unequal sample sizes

Autor:	Poduri S. R. S. Rao
Rok vydání:	2012
Předmět:	Statistics and Probability Estimation education.field_of_study Mean squared error Population Variance (accounting) Sample mean and sample covariance Square root Sample size determination Statistics Econometrics Fraction (mathematics) education Mathematics
Zdroj:	Statistical Methodology. 9:515-519
ISSN:	1572-3127
DOI:	10.1016/j.stamet.2012.02.001
Popis:	When the samples selected from k normal populations are of unequal sizes, we consider the empirical best linear unbiased predictor, EBLUP, for the mean of each population. For fixed values of the means of these populations, conditions for the Mean Square Error (MSE) of the EBLUP to be smaller than the variance of the sample mean and, at the same time, for its absolute bias to be smaller than a specified fraction of the square root of its MSE are obtained. Preference of the EBLUP over the sample mean is examined for the estimation of the averages of the daily hospital expenses of the Standard Metropolitan Statistical Areas (SMSAs) of twenty states in the US.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::347956a28c7f4852f16df50f0cb50148 https://doi.org/10.1016/j.stamet.2012.02.001 Zobrazit plný text záznamu Full Text from ScienceDirect