LEADER 05346nam 2200553Ia 450 001 9910876981503321 005 20231120202731.0 010 $a1-282-30747-9 010 $a9786612307478 010 $a0-470-31648-9 010 $a0-470-31719-1 035 $a(CKB)1000000000687536 035 $a(StDuBDS)AH3916600 035 $a(SSID)ssj0000334799 035 $a(PQKBManifestationID)11242111 035 $a(PQKBTitleCode)TC0000334799 035 $a(PQKBWorkID)10279495 035 $a(PQKB)10356059 035 $a(MiAaPQ)EBC469894 035 $a(PPN)159307953 035 $a(EXLCZ)991000000000687536 100 $a19800319d1980 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aApproximation theorems of mathematical statistics$b[electronic resource] /$fRobert J. Serfling 210 $aNew York $cWiley$dc1980 215 $a1 online resource (400 p.) 225 1 $aWiley series in probability and mathematical statistics 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a0-471-02403-1 320 $aIncludes bibliography and indexes. 327 $aPreliminary Tools and Foundations. The Basic Sample Statistics. Transformations of Given Statistics. Asymptotic Theory in Parametric Inference. U-Statistics. Von Mises Differentiable Statistical Functions. M-Estimates. L-Estimates. R-Estimates. Asymptotic Relative Efficiency. Appendix. References. Author Index. Subject Index. 330 8 $aThis paperback reprint of one of the best in the field covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application. The manipulation of "probability" theorems to obtain "statistical" theorems is emphasized.$bApproximation Theorems of Mathematical Statistics This convenient paperback edition makes a seminal text in statistics accessible to a new generation of students and practitioners. Approximation Theorems of Mathematical Statistics covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application. The manipulation of "probability" theorems to obtain "statistical" theorems is emphasized. Besides a knowledge of these basic statistical theorems, this lucid introduction to the subject imparts an appreciation of the instrumental role of probability theory. The book makes accessible to students and practicing professionals in statistics, general mathematics, operations research, and engineering the essentials of: The tools and foundations that are basic to asymptotic theory in statistics The asymptotics of statistics computed from a sample, including transformations of vectors of more basic statistics, with emphasis on asymptotic distribution theory and strong convergence Important special classes of statistics, such as maximum likelihood estimates and other asymptotic efficient procedures; W. Hoeffding's U-statistics and R. von Mises's "differentiable statistical functions" Statistics obtained as solutions of equations ("M-estimates"), linear functions of order statistics ("L-statistics"), and rank statistics ("R-statistics") Use of influence curves Approaches toward asymptotic relative efficiency of statistical test procedures Approximation Theorems of Mathematical Statistics This convenient paperback edition makes a seminal text in statistics accessible to a new generation of students and practitioners. Approximation Theorems of Mathematical Statistics covers a broad range of limit theorems useful in mathematical statistics, along with methods of proof and techniques of application. The manipulation of "probability" theorems to obtain "statistical" theorems is emphasized. Besides a knowledge of these basic statistical theorems, this lucid introduction to the subject imparts an appreciation of the instrumental role of probability theory. The book makes accessible to students and practicing professionals in statistics, general mathematics, operations research, and engineering the essentials of: The tools and foundations that are basic to asymptotic theory in statistics The asymptotics of statistics computed from a sample, including transformations of vectors of more basic statistics, with emphasis on asymptotic distribution theory and strong convergence Important special classes of statistics, such as maximum likelihood estimates and other asymptotic efficient procedures, W. Hoeffding s U-statistics and R. von Mises s "differentiable statistical functions" Statistics obtained as solutions of equations ("M-estimates"), linear functions of order statistics ("L-statistics"), and rank statistics ("R-statistics") Use of influence curves Approaches toward asymptotic relative efficiency of statistical test procedures 410 0$aWiley series in probability and mathematical statistics. 606 $aLimit theorems (Probability theory) 606 $aMathematical statistics 615 0$aLimit theorems (Probability theory) 615 0$aMathematical statistics. 700 $aSerfling$b Robert J$g(Robert Joseph)$088863 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910876981503321 996 $aApproximation theorems of mathematical statistics$9194947 997 $aUNINA