Contributions to the theory of systematic statistics. I

Abstract

Introduction.Chapter I. Theory of Estimation.§ 1. Regular unbiased estimates.§ 2. The best linear unbiased estimates and extensions of A. MarkofPs theorem on least squares.§ 3. Order statistics and their limiting distributions, Systematic statistics.§ 4. The efficiencies of systematic statistics for estimating parameters of a normal population.§ 5.The best linear unbiased estimates of the mean and standard deviation of a normal population by means of systematic statistics.§ 6 Determination of the optimum spacings.Chapter II.Theory of Testing Statistical Hypotheses.§ 7. On tests of general linear hypotheses.§ 8. Tests of statistical hypotheses concerning unknown parameters of a normal population using systematic statistics.§ 9. Power functions of the tests mentioned in the preceding section and the optimum spacings for them.

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