LEADER 05464nam 2200661Ia 450 001 9910829824603321 005 20170816115037.0 010 $a3-527-64654-X 010 $a1-283-59216-9 010 $a9786613904614 010 $a3-527-64657-4 010 $a3-527-64656-6 035 $a(CKB)2560000000093291 035 $a(EBL)1015630 035 $a(OCoLC)813987909 035 $a(SSID)ssj0000739379 035 $a(PQKBManifestationID)11458062 035 $a(PQKBTitleCode)TC0000739379 035 $a(PQKBWorkID)10686956 035 $a(PQKB)11222501 035 $a(MiAaPQ)EBC1015630 035 $a(PPN)164815252 035 $a(EXLCZ)992560000000093291 100 $a20120922d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStatistical methods in radiation physics$b[electronic resource] /$fJames E. Turner, Darryl J. Downing and James S. Bogard 210 $aWeinheim $cWiley-VCH Verlag$dc2012 215 $a1 online resource (468 p.) 300 $aDescription based upon print version of record. 311 $a3-527-41107-0 320 $aIncludes bibliographical references and index. 327 $aStatistical Methods in Radiation Physics; Contents; Preface; 1 The Statistical Nature of Radiation, Emission, and Interaction; 1.1 Introduction and Scope; 1.2 Classical and Modern Physics - Determinism and Probabilities; 1.3 Semiclassical Atomic Theory; 1.4 Quantum Mechanics and the Uncertainty Principle; 1.5 Quantum Mechanics and Radioactive Decay; Problems; 2 Radioactive Decay; 2.1 Scope of Chapter; 2.2 Radioactive Disintegration - Exponential Decay; 2.3 Activity and Number of Atoms; 2.4 Survival and Decay Probabilities of Atoms; 2.5 Number of Disintegrations - The Binomial Distribution 327 $a2.6 CritiqueProblems; 3 Sample Space, Events, and Probability; 3.1 Sample Space; 3.2 Events; 3.3 Random Variables; 3.4 Probability of an Event; 3.5 Conditional and Independent Events; Problems; 4 Probability Distributions and Transformations; 4.1 Probability Distributions; 4.2 Expected Value; 4.3 Variance; 4.4 Joint Distributions; 4.5 Covariance; 4.6 Chebyshev's Inequality; 4.7 Transformations of Random Variables; 4.8 Bayes' Theorem; Problems; 5 Discrete Distributions; 5.1 Introduction; 5.2 Discrete Uniform Distribution; 5.3 Bernoulli Distribution; 5.4 Binomial Distribution 327 $a5.5 Poisson Distribution5.6 Hypergeometric Distribution; 5.7 Geometric Distribution; 5.8 Negative Binomial Distribution; Problems; 6 Continuous Distributions; 6.1 Introduction; 6.2 Continuous Uniform Distribution; 6.3 Normal Distribution; 6.4 Central Limit Theorem; 6.5 Normal Approximation to the Binomial Distribution; 6.6 Gamma Distribution; 6.7 Exponential Distribution; 6.8 Chi-Square Distribution; 6.9 Student's t-Distribution; 6.10 F Distribution; 6.11 Lognormal Distribution; 6.12 Beta Distribution; Problems; 7 Parameter and Interval Estimation; 7.1 Introduction 327 $a7.2 Random and Systematic Errors7.3 Terminology and Notation; 7.4 Estimator Properties; 7.5 Interval Estimation of Parameters; 7.5.1 Interval Estimation for Population Mean; 7.5.2 Interval Estimation for the Proportion of Population; 7.5.3 Estimated Error; 7.5.4 Interval Estimation for Poisson Rate Parameter; 7.6 Parameter Differences for Two Populations; 7.6.1 Difference in Means; 7.6.1.1 Case 1: ?2x and ?2x Known; 7.6.1.2 Case 2: ?2x and ?2y Unknown, but Equal (=?2); 7.6.1.3 Case 3: ?2x and ?2y Unknown and Unequal; 7.6.2 Difference in Proportions; 7.7 Interval Estimation for a Variance 327 $a7.8 Estimating the Ratio of Two Variances7.9 Maximum Likelihood Estimation; 7.10 Method of Moments; Problems; 8 Propagation of Error; 8.1 Introduction; 8.2 Error Propagation; 8.3 Error Propagation Formulas; 8.3.1 Sums and Differences; 8.3.2 Products and Powers; 8.3.3 Exponentials; 8.3.4 Variance of the Mean; 8.4 A Comparison of Linear and Exact Treatments; 8.5 Delta Theorem; Problems; 9 Measuring Radioactivity; 9.1 Introduction; 9.2 Normal Approximation to the Poisson Distribution; 9.3 Assessment of Sample Activity by Counting; 9.4 Assessment of Uncertainty in Activity 327 $a9.5 Optimum Partitioning of Counting Times 330 $aThis statistics textbook, with particular emphasis on radiation protection and dosimetry, deals with statistical solutions to problems inherent in health physics measurements and decision making.The authors begin with a description of our current understanding of the statistical nature of physical processes at the atomic level, including radioactive decay and interactions of radiation with matter. Examples are taken from problems encountered in health physics, and the material is presented such that health physicists and most other nuclear professionals will more readily understand the app 606 $aIonizing radiation$xStatistical methods 606 $aRadiation$xStatistical methods 615 0$aIonizing radiation$xStatistical methods. 615 0$aRadiation$xStatistical methods. 676 $a539.2015195 676 $a610.153 700 $aTurner$b James E$06062 701 $aDowning$b Darryl J$01691003 701 $aBogard$b James S$01691004 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910829824603321 996 $aStatistical methods in radiation physics$94067091 997 $aUNINA