LEADER 06338nam 2200529 450 001 996466406403316 005 20230421124043.0 010 $a3-030-55156-3 035 $a(CKB)4100000011912165 035 $a(MiAaPQ)EBC6578947 035 $a(Au-PeEL)EBL6578947 035 $a(OCoLC)1249072193 035 $a(PPN)255289952 035 $a(EXLCZ)994100000011912165 100 $a20211211d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModern mathematical statistics with applications /$fJay L. Devore, Kenneth N. Berk, Matthew A. Carlton 205 $aThird edition. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (981 pages) 225 1 $aSpringer Texts in Statistics 311 $a3-030-55155-5 327 $aIntro -- Preface -- Purpose -- Content and Mathematical Level -- Recommended Coverage -- Revisions for This Edition -- Acknowledgements -- A Final Thought -- Contents -- 1 Overview and Descriptive Statistics -- 1.1 The Language of Statistics -- 1.2 Graphical Methods in Descriptive Statistics -- 1.3 Measures of Center -- 1.4 Measures of Variability -- Supplementary Exercises: (73-96) -- 2 Probability -- 2.1 Sample Spaces and Events -- 2.2 Axioms, Interpretations, and Properties of Probability -- 2.3 Counting Methods -- 2.4 Conditional Probability -- 2.5 Independence -- 2.6 Simulation of Random Events -- Supplementary Exercises: (113-140) -- 3 Discrete Random Variables and Probability Distributions -- 3.1 Random Variables -- 3.2 Probability Distributions for Discrete Random Variables -- 3.3 Expected Values of Discrete Random Variables -- 3.4 Moments and Moment Generating Functions -- 3.5 The Binomial Probability Distribution -- 3.6 The Poisson Probability Distribution -- 3.7 Other Discrete Distributions -- 3.8 Simulation of Discrete Random Variables -- Supplementary Exercises: (138-169) -- 4 Continuous Random Variables and Probability Distributions -- 4.1 Probability Density Functions and Cumulative Distribution Functions -- 4.2 Expected Values and Moment Generating Functions -- 4.3 The Normal Distribution -- 4.4 The Gamma Distribution and Its Relatives -- 4.5 Other Continuous Distributions -- 4.6 Probability Plots -- 4.7 Transformations of a Random Variable -- 4.8 Simulation of Continuous Random Variables -- Supplementary Exercises: (131-159) -- 5 Joint Probability Distributions and Their Applications -- 5.2 Expected Values, Covariance, and Correlation -- 5.3 Linear Combinations -- 5.4 Conditional Distributions and Conditional Expectation -- 5.5 The Bivariate Normal Distribution -- 5.6 Transformations of Multiple Random Variables. 327 $a5.7 Order Statistics -- Supplementary Exercises: (122-150) -- 6 Statistics and Sampling Distributions -- 6.1 Statistics and Their Distributions -- 6.2 The Distribution of Sample Totals, Means, and Proportions -- 6.3 The ?2, t, and F Distributions -- 6.4 Distributions Based on Normal Random Samples -- Supplementary Exercises: (59-68) -- Appendix: Proof of the Central Limit Theorem -- 7 Point Estimation -- 7.1 Concepts and Criteria for Point Estimation -- 7.2 The Methods of Moments and Maximum Likelihood -- 7.3 Sufficiency -- 7.4 Information and Efficiency -- Supplementary Exercises: (61-78) -- 8 Statistical Intervals Based on a Single Sample -- 8.1 Basic Properties of Confidence Intervals -- 8.2 The One-Sample t Interval and Its Relatives -- 8.3 Intervals for a Population Proportion -- 8.4 Confidence Intervals for the Population Variance and Standard Deviation -- 8.5 Bootstrap Confidence Intervals -- Supplementary Exercises (71-92) -- 9 Tests of Hypotheses Based on a Single Sample -- 9.1 Hypotheses and Test Procedures -- 9.2 Tests About a Population Mean -- 9.3 Tests About a Population Proportion -- 9.4 P-Values -- 9.5 The Neyman-Pearson Lemma and Likelihood Ratio Tests -- 9.6 Further Aspects of Hypothesis Testing -- Supplementary Exercises: (83-102) -- 10 Inferences Based on Two Samples -- 10.1 The Two-Sample z Confidence Interval and Test -- 10.2 The Two-Sample t Confidence Interval and Test -- 10.3 Analysis of Paired Data -- 10.4 Inferences About Two Population Proportions -- 10.5 Inferences About Two Population Variances -- 10.6 Inferences Using the Bootstrap and Permutation Methods -- Supplementary Exercises: (95-124) -- 11 The Analysis of Variance -- 11.1 Single-Factor ANOVA -- 11.2 Multiple Comparisons in ANOVA -- 11.3 More on Single-Factor ANOVA -- 11.4 Two-Factor ANOVA without Replication -- 11.5 Two-Factor ANOVA with Replication. 327 $aSupplementary Exercises: (74-84) -- 12 Regression and Correlation -- 12.1 The Simple Linear Regression Model -- 12.2 Estimating Model Parameters -- 12.3 Inferences About the Regression Coefficient ?1 -- 12.4 Inferences for the (Mean) Response -- 12.5 Correlation -- 12.6 Investigating Model Adequacy: Residual Analysis -- 12.7 Multiple Regression Analysis -- 12.8 Quadratic, Interaction, and Indicator Terms -- 12.9 Regression with Matrices -- 12.10 Logistic Regression -- Supplementary Exercises: (121-138) -- 13 Chi-Squared Tests -- 13.1 Goodness-of-Fit Tests -- 13.2 Two-Way Contingency Tables -- Supplementary Exercises: (32-43) -- 14 Nonparametric Methods -- 14.1 Exact Inference for Population Quantiles -- 14.2 One-Sample Rank-Based Inference -- 14.3 Two-Sample Rank-Based Inference -- 14.4 Nonparametric ANOVA -- Supplementary Exercises: (49-58) -- 15 Introduction to Bayesian Estimation -- 15.1 Prior and Posterior Distributions -- 15.2 Bayesian Point and Interval Estimation -- Appendix_1 -- Appendix_2 -- Bib1 -- Bib1 -- Index. 410 0$aSpringer texts in statistics. 606 $aMathematical statistics 606 $aMathematical statistics$vProblems, exercises, etc 606 $aEstadística matemàtica$2thub 608 $aLlibres electrònics$2thub 615 0$aMathematical statistics. 615 0$aMathematical statistics 615 7$aEstadística matemàtica 676 $a519.5 700 $aDevore$b Jay L.$0102313 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466406403316 996 $aModern mathematical statistics with applications$92557154 997 $aUNISA LEADER 05950nam 2200709Ia 450 001 9911020248003321 005 20200520144314.0 010 $a9786613374431 010 $a9781283374439 010 $a1283374439 010 $a9781118019542 010 $a1118019547 010 $a9781118019535 010 $a1118019539 010 $a9781118019559 010 $a1118019555 035 $a(CKB)3460000000003346 035 $a(EBL)698709 035 $a(OCoLC)714798772 035 $a(SSID)ssj0000477687 035 $a(PQKBManifestationID)11320060 035 $a(PQKBTitleCode)TC0000477687 035 $a(PQKBWorkID)10502414 035 $a(PQKB)11556037 035 $a(MiAaPQ)EBC698709 035 $a(MiAaPQ)EBC4030472 035 $a(Perlego)1010815 035 $a(EXLCZ)993460000000003346 100 $a20110311d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMilitary laser technology for defense $etechnology for revolutionizing 21st century warfare /$fAlastair D. McAulay 210 $aHoboken, NJ $cWiley$dc2011 215 $a1 online resource (325 p.) 300 $aDescription based upon print version of record. 311 08$a9780470255605 311 08$a0470255609 320 $aIncludes bibliographical references and index. 327 $aMilitary Laser Technology for Defense: Technology for Revolutionizing 21st Century Warfare; CONTENTS; PREFACE; ACKNOWLEDGMENTS; ABOUT THE AUTHOR; PART I: OPTICS TECHNOLOGY FOR DEFENSE SYSTEMS; 1 OPTICAL RAYS; 1.1 PARAXIAL OPTICS; 1.2 GEOMETRIC OR RAY OPTICS; 1.2.1 Fermat's Principle; 1.2.2 Fermat's Principle Proves Snell's Law for Refraction; 1.2.3 Limits of Geometric Optics or Ray Theory; 1.2.4 Fermat's Principle Derives Ray Equation; 1.2.5 Useful Applications of the Ray Equation; 1.2.6 Matrix Representation for Geometric Optics; 1.3 OPTICS FOR LAUNCHING AND RECEIVING BEAMS 327 $a1.3.1 Imaging with a Single Thin Lens1.3.2 Beam Expanders; 1.3.3 Beam Compressors; 1.3.4 Telescopes; 1.3.5 Microscopes; 1.3.6 Spatial Filters; 2 GAUSSIAN BEAMS AND POLARIZATION; 2.1 GAUSSIAN BEAMS; 2.1.1 Description of Gaussian Beams; 2.1.2 Gaussian Beam with ABCD Law; 2.1.3 Forming and Receiving Gaussian Beams with Lenses; 2.2 POLARIZATION; 2.2.1 Wave Plates or Phase Retarders; 2.2.2 Stokes Parameters; 2.2.3 Poincar ?e Sphere; 2.2.4 Finding Point on Poincar ?e Sphere and Elliptical Polarization from Stokes Parameters; 2.2.5 Controlling Polarization; 3 OPTICAL DIFFRACTION 327 $a3.1 INTRODUCTION TO DIFFRACTION3.1.1 Description of Diffraction; 3.1.2 Review of Fourier Transforms; 3.2 UNCERTAINTY PRINCIPLE FOR FOURIER TRANSFORMS; 3.2.1 Uncertainty Principle for Fourier Transforms in Time; 3.2.2 Uncertainty Principle for Fourier Transforms in Space; 3.3 SCALAR DIFFRACTION; 3.3.1 Preliminaries: Green's Function and Theorem; 3.3.2 Field at a Point due to Field on a Boundary; 3.3.3 Diffraction from an Aperture; 3.3.4 Fresnel Approximation; 3.3.5 Fraunhofer Approximation; 3.3.6 Role of Numerical Computation; 3.4 DIFFRACTION-LIMITED IMAGING 327 $a3.4.1 Intuitive Effect of Aperture in Imaging System3.4.2 Computing the Diffraction Effect of a Lens Aperture on Imaging; 4 DIFFRACTIVE OPTICAL ELEMENTS; 4.1 APPLICATIONS OF DOEs; 4.2 DIFFRACTION GRATINGS; 4.2.1 Bending Light with Diffraction Gratings and Grating Equation; 4.2.2 Cosinusoidal Grating; 4.2.3 Performance of Grating; 4.3 ZONE PLATE DESIGN AND SIMULATION; 4.3.1 Appearance and Focusing of Zone Plate; 4.3.2 Zone Plate Computation for Design and Simulation; 4.4 GERCHBERG-SAXTON ALGORITHM FOR DESIGN OF DOEs; 4.4.1 Goal of Gerchberg-Saxton Algorithm 327 $a4.4.2 Inverse Problem for Diffractive Optical Elements4.4.3 Gerchberg-Saxton Algorithm for Forward Computation; 4.4.4 Gerchberg-Saxton Inverse Algorithm for Designing a Phase-Only Filter or DOE; 5 PROPAGATION AND COMPENSATION FOR ATMOSPHERIC TURBULENCE; 5.1 STATISTICS INVOLVED; 5.1.1 Ergodicity; 5.1.2 Locally Homogeneous Random Field Structure Function; 5.1.3 Spatial Power Spectrum of Structure Function; 5.2 OPTICAL TURBULENCE IN THE ATMOSPHERE; 5.2.1 Kolmogorov's Energy Cascade Theory; 5.2.2 Power Spectrum Models for Refractive Index in Optical Turbulence 327 $a5.2.3 Atmospheric Temporal Statistics 330 $a"Lasers in War will provide the basic konwledge to create, design, and implement laser systems for the battlefield, including only unclassified or declassified information. The first three parts of the book provide background material: optics and lasers for war; propagation of laser light in the atmosphere; and propagation of laser light in fiber and optical waveguides. The nest three parts describe military systems involving propagation through the atmosphere: weapons damage systems military systems for information communication; and military systems for sensing. The last part describes military systems involving propagation through optical fiber. This book is timely, as conflicts of late have accelerated progress in military laser system development. Laser weapons are not only effective for directed energy destruction but also for use against personnel by blinding, for countermeasures against heat seeking IR missiles, and for applications in space where communication and GPS satellites need protection. Practical concerns and limits of laser technology will be addressed in each area of application"--$cProvided by publisher. 606 $aLasers$xMilitary applications 606 $aLaser weapons 615 0$aLasers$xMilitary applications. 615 0$aLaser weapons. 676 $a623.4/46 686 $aTEC019000$2bisacsh 700 $aMcAulay$b Alastair D$0536331 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911020248003321 996 $aMilitary laser technology for defense$93984531 997 $aUNINA