LEADER 05733nam 22007454a 450 001 9910841573303321 005 20170815122119.0 010 $a1-280-23879-8 010 $a9786610238798 010 $a0-470-34589-6 010 $a0-470-86890-2 010 $a0-470-86889-9 035 $a(CKB)1000000000356019 035 $a(EBL)239474 035 $a(OCoLC)77722380 035 $a(SSID)ssj0000139816 035 $a(PQKBManifestationID)11134778 035 $a(PQKBTitleCode)TC0000139816 035 $a(PQKBWorkID)10028261 035 $a(PQKB)10915058 035 $a(MiAaPQ)EBC239474 035 $a(PPN)19059781X 035 $a(EXLCZ)991000000000356019 100 $a20040128d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDiscrete distributions$b[electronic resource] $eapplications in the health sciences /$fDaniel Zelterman 210 $aHoboken, NJ $cJohn Wiley$d2004 215 $a1 online resource (307 p.) 225 1 $aWiley series in probability and statistics 300 $aDescription based upon print version of record. 311 $a0-470-86888-0 320 $aIncludes bibliographical references (p. 267-272) and index. 327 $aDiscrete Distributions; Contents; Preface; Acknowledgements; About the Author; 1 Introduction; 1.1 Discrete Distributions in General; 1.2 Multivariate Discrete Distributions; 1.3 Binomial Distribution; 1.4 The Multinomial Distribution; 1.5 Poisson Distribution; 1.6 Negative Binomial Distribution; 1.7 Hypergeometric Distribution; 1.7.1 Negative hypergeometric distribution; 1.7.2 Extended hypergeometric distribution; 1.8 Stirling's Approximation; 2 Maximum Negative Binomial Distribution; 2.1 Introduction; 2.1.1 Outfitting the ark; 2.1.2 Medical screening application; 2.2 Elementary Properties 327 $a2.2.1 Shapes of the distribution2.2.2 Moments of the distribution; 2.2.3 Modes of the distribution; 2.3 Asymptotic Approximations; 2.3.1 Large values of c and p 1/2; 2.3.2 Large values of c and p = 1/2; 2.3.3 Extreme values of p; 2.4 Estimation of p; 2.4.1 The likelihood function; 2.4.2 The EM estimate; 2.4.3 A Bayesian estimate of p; 2.5 Programs and Numerical Results; 2.6 Appendix: The Likelihood Kernel; 3 The Maximum Negative Hypergeometric Distribution; 3.1 Introduction; 3.2 The Distribution; 3.3 Properties and Approximations; 3.3.1 Modes of the distribution; 3.3.2 A gamma approximation 327 $a3.3.3 A half-normal approximation3.3.4 A normal approximation; 3.4 Estimation; 3.5 Appendix; 3.5.1 The half-normal approximation; 3.5.2 The normal approximate distribution; 4 Univariate Discrete Distributions for Use with Twins; 4.1 Introduction; 4.2 The Univariate Twins Distribution; 4.3 Measures of Association in Twins; 4.4 The Danish Twin Registry; 4.4.1 Estimate of the effect; 4.4.2 Approximations; 4.5 Appendix; 4.5.1 The univariate twins distribution; 4.5.2 Approximating distributions; 4.6 Programs for the Univariate Twins Distribution; 5 Multivariate Distributions for Twins 327 $a5.1 Introduction5.2 Conditional Distributions; 5.2.1 Univariate conditional distribution; 5.2.2 Conditional association measure; 5.3 Conditional inference for the Danish twins; 5.4 Simultaneous Multivariate Distributions; 5.5 Multivariate Examination of the Twins; 5.6 Infinitesimal Multivariate Methods; 5.6.1 Models with no dependence; 5.6.2 Models for dependence; 5.6.3 The infinitesimal data; 5.7 Computer Programs; 5.7.1 Conditional distribution and association models in SAS; 5.7.2 Fortran program for multivariate inference; 6 Frequency Models for Family Disease Clusters; 6.1 Introduction 327 $a6.1.1 Examples6.1.2 Sampling methods employed; 6.1.3 Incidence and clustering; 6.2 Exact Inference Under Homogeneous Risk; 6.2.1 Enumeration algorithm; 6.2.2 Ascertainment sampling; 6.3 Numerical Examples; 6.3.1 IPF in COPD families; 6.3.2 Childhood cancer syndrome; 6.3.3 Childhood mortality in Brazil; 6.3.4 Household T. cruzi infections; 6.4 Conclusions; 6.5 Appendix: Mathematical Details; 6.5.1 The distribution of family frequencies; 6.5.2 A model for covariates; 6.5.3 Ascertainment sampling; 6.6 Program for Exact Test of Homogeneity; 7 Sums of Dependent Bernoulli's and Disease Clusters 327 $a7.1 Introduction 330 $aThere have been many advances in the theory and applications of discrete distributions in recent years. They can be applied to a wide range of problems, particularly in the health sciences, although a good understanding of their properties is very important. Discrete Distributions: Applications in the Health Sciences describes a number of new discrete distributions that arise in the statistical examination of real examples. For each example, an understanding of the issues surrounding the data provides the motivation for the subsequent development of the statistical models.Provid 410 0$aWiley series in probability and statistics. 606 $aMedical sciences$xMathematics 606 $aMedical sciences$xMathematical models 606 $aMedicine$xMathematics 606 $aDistribution (Probability theory) 606 $aProbabilities 615 0$aMedical sciences$xMathematics. 615 0$aMedical sciences$xMathematical models. 615 0$aMedicine$xMathematics. 615 0$aDistribution (Probability theory) 615 0$aProbabilities. 676 $a519.24 676 $a519.2402461 676 $a610/.1/5118 700 $aZelterman$b Daniel$0144977 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910841573303321 996 $aDiscrete distributions$9821076 997 $aUNINA