000 02760nmm a22002295i 4500
005 20230705150638.0
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780387276052
_9978-0-387-27605-2
082 _a519.5
_223
100 _aLehmann, Erich L.
_920514
245 _aTesting Statistical Hypotheses
_h[electronic resource] /
_cby Erich L. Lehmann, Joseph P. Romano.
250 _a3rd ed. 2005.
260 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2005.
300 _aXIV, 786 p.
_bonline resource.
505 _aSmall-Sample Theory -- The General Decision Problem -- The Probability Background -- Uniformly Most Powerful Tests -- Unbiasedness: Theory and First Applications -- Unbiasedness: Applications to Normal Distributions; Confidence Intervals -- Invariance -- Linear Hypotheses -- The Minimax Principle -- Multiple Testing and Simultaneous Inference -- Conditional Inference -- Large-Sample Theory -- Basic Large Sample Theory -- Quadratic Mean Differentiable Families -- Large Sample Optimality -- Testing Goodness of Fit -- General Large Sample Methods. .
520 _aThe third edition of Testing Statistical Hypotheses updates and expands upon the classic graduate text, emphasizing optimality theory for hypothesis testing and confidence sets. The principal additions include a rigorous treatment of large sample optimality, together with the requisite tools. In addition, an introduction to the theory of resampling methods such as the bootstrap is developed. The sections on multiple testing and goodness of fit testing are expanded. The text is suitable for Ph.D. students in statistics and includes over 300 new problems out of a total of more than 760. E.L. Lehmann is Professor of Statistics Emeritus at the University of California, Berkeley. He is a member of the National Academy of Sciences and the American Academy of Arts and Sciences, and the recipient of honorary degrees from the University of Leiden, The Netherlands and the University of Chicago. He is the author of Elements of Large-Sample Theory and (with George Casella) he is also the author of Theory of Point Estimation, Second Edition. Joseph P. Romano is Professor of Statistics at Stanford University. He is a recipient of a Presidential Young Investigator Award and a Fellow of the Institute of Mathematical Statistics. He has coauthored two other books, Subsampling with Dimitris Politis and Michael Wolf, and Counterexamples in Probability and Statistics with Andrew Siegel. .
650 _aStatisticsĀ .
_920515
650 _aStatistical Theory and Methods.
_920516
700 _aRomano, Joseph P.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_920517
856 _uhttps://doi.org/10.1007/0-387-27605-X
942 _cEBK
999 _c13649
_d13649