LEADER 05533nam 2200661Ia 450 001 9910463478003321 005 20200520144314.0 010 $a981-4366-57-9 035 $a(CKB)3360000000410909 035 $a(EBL)840705 035 $a(SSID)ssj0000615014 035 $a(PQKBManifestationID)12181253 035 $a(PQKBTitleCode)TC0000615014 035 $a(PQKBWorkID)10618312 035 $a(PQKB)10790248 035 $a(MiAaPQ)EBC840705 035 $a(WSP)00008258 035 $a(Au-PeEL)EBL840705 035 $a(CaPaEBR)ebr10688017 035 $a(CaONFJC)MIL498427 035 $a(OCoLC)877767546 035 $a(EXLCZ)993360000000410909 100 $a20120126d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aNonparametric statistical methods and related topics$b[electronic resource] $ea festschrift in honor of Professor P.K. Bhattacharya on the occasion of his 80th birthday /$feditors: J. Jiang, G.G. Roussas, F.J. Samaniego 210 $aHackensack, NJ $cWorld Scientific$dc2012 215 $a1 online resource (479 p.) 300 $aDescription based upon print version of record. 311 $a981-4366-56-0 320 $aIncludes bibliographical references. 327 $aPreface; Contents; Review Papers; 1. On the Scholarly Work of P. K. Bhattacharya P. Hall and F. J. Samaniego; 1. Introduction; 2. Early work and foundations for the future; 3. Forays into decision theory; 4. Work on density estimation and related problems; 5. Special explorations; 6. Work on statistical quality control; 7. Work of cosmic significance; 8. Inference about change points; 9. Discussion; References; 2. The Propensity Score and Its Role in Causal Inference C. Drake and T. Loux; 1. Introduction; The Rubin Causal Model (RCM); 2. The propensity score; 3. Propensity score estimation 327 $a4. Applications of propensity scores5. Summary; References; 3. Recent Tests for Symmetry with Multivariate and Structured Data: A Review S. G. Meintanis and J. Ngatchou-Wandji; 1. Introduction; 2. Notions of and testing for multivariate symmetry; 2.1. Diagonal symmetry; 2.2. Spherical symmetry; 2.3. Elliptical symmetry; 3. Testing symmetry with structured data; 3.1. Linear regression; 3.2. Nonparametric regression; 3.3. Conditional symmetry in time series; 4. Testing for symmetry in random effect models; 4.1. Model and tests; 4.2. Specification of estimation and test statistics 327 $a4.3. Simulations5. Other procedures for testing symmetry and conclusion; References; Papers on General Nonparametric Inference; 4. On Robust Versions of Classical Tests with Dependent Data J. Jiang; 1. Introduction; 2. Robust Tests; 2.1. Basic idea, assumptions, and examples; 2.2. The W-, S-, and L- test statistics; 3. Asymptotic theory; 4. Application to mixed linear models; Acknowledgments; Appendix A. Proofs; References; 5. Density Estimation by Sampling from Stationary Continuous Time Parameter Associated Processes G. G. Roussas and D. Bhattacharya; 1. Introduction 327 $a2. Asymptotic unbiasedness and representation of the bias3. Asymptotic behavior of the variance of the estimate and consistency in quadratic mean; 4. Asymptotically uncorrelated; 5. Uniform strong convergence of the estimates; References; 6. A Short Proof of the Feigin-Tweedie Theorem on the Existence of the Mean Functional of a Dirichlet Process J. Sethuraman; 1. Introduction; 2. Dirichlet processes; 3. Two-parameter Dirichlet processes; References; 7. Max-Min Bernstein Polynomial Estimation of a Discontinuity in Distribution K.-S. Song; 1. Introduction 327 $a2. Max-Min Bernstein Polynomial Estimation Method3. Main Result; 4. Proofs; 5. Numerical Experiments; Acknowledgments; References; 8. U-Statistics Based on Higher-Order Spacings D. D. Tung and S. R. Jammalamadaka; 1. Introduction; 2. The Asymptotic Null Distribution; 3. The Asymptotic Distribution Under a Sequence of Close Alternatives; 4. The Asymptotically Locally Most Powerful Test; 5. Conclusion; References; 9. Nonparametric Models for Non-Gaussian Longitudinal Data N. Zhang, H.-G. M ller and J.-L. Wang; 1. Introduction 327 $a2. Functional Principal Component Analysis via Quasilikelihood Maximization (FPCA-Q) 330 $aThis volume consists of 22 research papers by leading researchers in Probability and Statistics. Many of the papers are focused on themes that Professor Bhattacharya has published on research. Topics of special interest include nonparametric inference, nonparametric curve fitting, linear model theory, Bayesian nonparametrics, change point problems, time series analysis and asymptotic theory. This volume presents state-of-the-art research in statistical theory, with an emphasis on nonparametric inference, linear model theory, time series analysis and asymptotic theory. It will serve as a valuab 606 $aNonparametric statistics 606 $aMathematical statistics 608 $aElectronic books. 615 0$aNonparametric statistics. 615 0$aMathematical statistics. 676 $a519.5 701 $aBhattacharya$b Prodyot K$0942018 701 $aJiang$b Jiming$0614598 701 $aRoussas$b George G$012108 701 $aSamaniego$b Francisco J$0942019 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910463478003321 996 $aNonparametric statistical methods and related topics$92125459 997 $aUNINA