Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability, Volume 1Jerzy Neyman University of California Press, 1956 - Mathematical statistics |
Contents
JOSEPH BERKSONEstimation by Least Squares and by Maximum Likeli | 1 |
Z W BIRNBAUMOn a Use of the MannWhitney Statistic | 13 |
HERMAN CHERNOFF and HERMAN RUBINThe Estimation of the Location | 19 |
Copyright | |
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a₁ Annals of Math approximation assume assumptions B₁ Bayes bounded coefficients compact consider convergence covariance matrix defined denote distribution function equation esti Euclidean space example exists F₂ finite follows given Hence inequality integral L₂ least squares estimates lemma linear loss function Markov estimate maximum likelihood estimate mean square error measure minimizing minimum x² Neyman nonsingular normal distribution observations obtained P₁ parameter Pólya positive definite positive numbers probability problem proof R₁ random variables regression respect Robbins-Monro S₁ sample satisfied sequence space spectral density spectrum Stat stationary process statistical stochastic stochastic approximation strategies Stratified sample subset T₂ tends to infinity tends to zero theorem theory tion unbiased uniformly unknown vector w₁ X₁ x² estimate Y₁