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|a The Biostatistics of Aging
|b From Gompertzian Mortality to an Index of Aging-Relatedness
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|a 1. Aufl.
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|a THE BIOSTATISTICS OF AGING: From Gompertzian Mortalitytoan Index of Aging-Relatedness; Copyright; CONTENTS; PREFACE AND ACKNOWLEDGMENT; 1 Introduction; 2 An Account of Gompertzian Mortality through Statisticaland Evolutionary Arguments; 2.1 The Statistical Theory of Extreme Values; 2.1.1 Background to Results; 2.1.2 Original Results; 2.2 The Evolutionary Theory of Aging; 2.2.1 The Argument for Gompertzian Mortality; 2.2.2 Boundaries of the Argument; 3 The Argument against Gompertzian Mortality; 3.1 Departures from the Gompertz Model; 3.2 An Evolution-Based Model of Causation
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|a 4 The Index of Aging-Relatedness4.1 A Survival Mixture Model of the Gompertz and WeibullDistributions; 4.2 Definition and Interpretation of the Index of Aging-Relatedness; 4.3 The Survival Mixture Model and Competing Risks; 4.4 Estimation of the Model Parameters; 4.5 Illustrative Application: The Israeli Ischemic Heart Disease Study; 4.6 Precision of Estimation; 5 Discussion: Implications; 5.1 The Meaning of the Gompertz Parameter; 5.2 Age as a Risk Factor for Disease; 5.3 Are Aging-Related Diseases an Integral Part of Aging?; 5.4 Biological versus Chronological Aging
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|a 5.5 The Public Health Notion of Compression of Morbidity5.6 A Picture of Aging for the Twenty-First Century; APPENDIX A: PROOFS OF RESULTS IN SECTION 2.1.2 WITHSOME EXTENSIONS; APPENDIX B: DERIVATION OF HAMILTON'S EQUATIONFOR THE FORCE OF NATURAL SELECTIONON MORTALITY; APPENDIX C: SOME PROPERTIES OF THE GOMPERTZ ANDWEIBULL DISTRIBUTIONS; APPENDIX D: FIRST AND SECOND PARTIAL DERIVATIVES OFTHE MIXTURE LOG-LIKELIHOOD FUNCTION; APPENDIX E: EXPECTATION-CONDITIONAL MAXIMIZATION(ECM) ALGORITHM; APPENDIX F: R PROGRAM; REFERENCES; AUTHOR INDEX; SUBJECT INDEX
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|a A practical and clarifying approach to aging and aging-related diseasesProviding a thorough and extensive theoretical framework, The Biostatistics of Aging: From Gompertzian Mortality to an Index of Aging-Relatedness addresses the surprisingly subtlenotion—with consequential biomedical and public health relevance—of what it means for acondition to be related to aging. In this pursuit, the book presents a new quantitative methodto examine the relative contributions of genetic and environmental factors to mortality anddisease incidence in a population.With input from evolutionary biology, population genetics, demography, and epidemiology, this medically motivated book describes an index of aging-relatedness and also features:Original results on the asymptotic behavior of the minimum of time-to-event random variables, which extends those of the classical statistical theory of extreme valuesA comprehensive and satisfactory explanation based on biological principles of the Gompertz pattern of mortality in human populationsThe development of an evolution-based model of causation relevant to mortality and aging-related diseases of complex etiologyAn explanation of how and why the description of human mortality by the Gompertz distribution can be improved upon from first principlesThe amply illustrated analysis of real-world data, including a program for conducting the analysis written in the freely available R statistical softwareTechnical appendices including mathematical material as well as an extensive and multidisciplinary bibliography on aging and aging-related diseasesThe Biostatistics of Aging: From Gompertzian Mortality to an Index of Aging-Relatedness is an excellent resource for practitioners and researchers with an interest in aging and aging-related diseases from the fields of medicine, biology, gerontology, biostatistics, epidemiology, demography, and public health.
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