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Making use of incomplete observations for regression in bivariate normal model. (English) Zbl 1099.62508
Summary: Two estimates of the regression coefficient in bivariate normal distributions are considered: the usual one based on a sample and a new one making use of additional observations of one of the variables. They are compared with respect to variance. The same is done for two regression lines. The conclusion is that the additional observations are worth using only when the sample is very small.
MSC:
62F10 Point estimation
62H12 Estimation in multivariate analysis
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References:
[1] H. Cramer: Mathematical Methods of Statistics. Princ. Univ. Press, Princeton, 1966. · Zbl 0156.18302
[2] N. L. Johnson, S. Kotz: Continuous Univariate Distributions-2. Houghton Mifflin Company, Boston, 1970. · Zbl 0213.21101
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