03635mam a2200313 a 45000010008000000030008000080050017000160080041000330200022000740350023000960350017001190400036001360500021001720820015001931000060002082450078002682500019003462600030003653000025003954900060004205000040004805000076005205040053005965050978006495050979016275050625026066500029032318300061032603242674BD-DhUL20140907124631.0020206r20021965nyu      b    001 0 eng d  a0471218758 (ppb.)  a(OCoLC)ocm49307460  a(NNC)3242674  aHLScHLSdNNCdOrLoB-BdBD-DhUL0 aQA276b.R36 2002  a519.1bRAL1 aRao, C. Radhakrishnaq(Calyampudi Radhakrishna),d1920-10aLinear statistical inference and its applications /cC. Radhakrishna Rao.  a2nd ed. (ppb.)  aNew York :bWiley,c2002.  axx, 625 p. ;c24 cm.1 aWiley series in probability and mathematical statistics  a"A Wiley-Interscience publication."  aThis paperback edition is a reprint of 1965 edition published by Wiley.  aIncludes bibliographical references and indexes.00gCh. 1.tAlgebra of Vectors and Matrices.g1a.tVector Spaces.g1b.tTheory of Matrices and Determinants.g1c.tEigenvalues and Reduction of Matrices.g1d.tConvex Sets in Vector Spaces.g1e.tInequalities.g1f.tExtrema of Quadratic Forms --gCh. 2.tProbability Theory, Tools and Techniques.g2a.tCalculus of Probability.g2b.tMathematical Expectation and Moments of Random Variables.g2c.tLimit Theorems.g2d.tFamily of Probability Measures and Problems of Statistics --gCh. 3.tContinuous Probability Models.g3a.tUnivariate Models.g3b.tSampling Distributions.g3c.tSymmetric Normal Distribution.g3d.tBivariate Normal Distribution --gCh. 4.tThe Theory of Least Squares and Analysis of Variance.g4a.tTheory of Least Squares (Linear Estimation).g4b.tTests of Hypotheses and Interval Estimation.g4c.tProblems of a Single Sample.g4d.tOne-Way Classified Data.g4e.tTwo-Way Classified Data.g4f.tA General Model for Two-Way Data and Variance Components.80g4g.tThe Theory and Application of Statistical Regression.g4h.tThe General Problem of Least Squares with Two Sets of Parameters.g4i.tUnified Theory of Linear Estimation.g4j.tEstimation of Variance Components.g4k.tBiased Estimation in Linear Models --gCh. 5.tCriteria and Methods of Estimation.g5a.tMinimum Variance Unbiased Estimation.g5b.tGeneral Procedures.g5c.tCriteria of Estimation in Large Samples.g5d.tSome Methods of Estimation in Large Samples.g5e.tEstimation of the Multinomial Distribution.g5f.tEstimation of Parameters in the General Case.g5g.tThe Method of Scoring for the Estimation of Parameters --gCh. 6.tLarge Sample Theory and Methods.g6a.tSome Basic Results.g6b.tChi-Square Tests for the Multinomial Distribution.g6c.tTests Relating to Independent Samples from Multinomial Distributions.g6d.tContingency Tables.g6e.tSome General Classes of Large Sample Tests.g6f.tOrder Statistics.g6g.tTransformation of Statistics.80g6h.tStandard Errors of Moments and Related Statistics --gCh. 7.tTheory of Statistical Inference.g7a.tTesting of Statistical Hypotheses.g7b.tConfidence Intervals.g7c.tSequential Analysis.g7d.tProblem of Identification - Decision Theory.g7e.tNonparametric Inference.g7f.tAncillary Information --gCh. 8.tMultivariate Analysis.g8a.tMultivariate Normal Distribution.g8b.tWishart Distribution.g8c.tAnalysis of Dispersion.g8d.tSome Applications of Multivariate Tests.g8e.tDiscriminatory Analysis (Identification).g8f.tRelation between Sets of Variates.g8g.tOrthonormal Basis of a Random Variable. 0aMathematical statistics. 0aWiley series in probability and mathematical statistics.