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The biostatistics of aging : from Gompertzian mortality and to an index of aging-relatedness / / Gilberto Levy, Bruce Levin
| The biostatistics of aging : from Gompertzian mortality and to an index of aging-relatedness / / Gilberto Levy, Bruce Levin |
| Autore | Levy Gilberto |
| Pubbl/distr/stampa | Hoboken, NJ : , : John Wiley & Sons Inc., , [2014] |
| Descrizione fisica | 1 online resource (270 p.) |
| Disciplina | 571.8/78 |
| Altri autori (Persone) | LevinBruce A |
| Soggetto topico |
Aging - Statistical methods
Mortality - Statistical methods Life spans (Biology) |
| ISBN |
1-118-64584-7
1-118-64567-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
THE BIOSTATISTICS OF AGING: From Gompertzian Mortality to an Index of Aging-Relatedness; Copyright; CONTENTS; PREFACE AND ACKNOWLEDGMENT; 1 Introduction; 2 An Account of Gompertzian Mortality through Statistical and 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
4 The Index of Aging-Relatedness 4.1 A Survival Mixture Model of the Gompertz and Weibull Distributions; 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 5.5 The Public Health Notion of Compression of Morbidity 5.6 A Picture of Aging for the Twenty-First Century; APPENDIX A: PROOFS OF RESULTS IN SECTION 2.1.2 WITH SOME EXTENSIONS; APPENDIX B: DERIVATION OF HAMILTON'S EQUATION FOR THE FORCE OF NATURAL SELECTION ON MORTALITY; APPENDIX C: SOME PROPERTIES OF THE GOMPERTZ AND WEIBULL DISTRIBUTIONS; APPENDIX D: FIRST AND SECOND PARTIAL DERIVATIVES OF THE MIXTURE LOG-LIKELIHOOD FUNCTION; APPENDIX E: EXPECTATION-CONDITIONAL MAXIMIZATION(ECM) ALGORITHM; APPENDIX F: R PROGRAM; REFERENCES; AUTHOR INDEX; SUBJECT INDEX |
| Record Nr. | UNINA-9910132241703321 |
Levy Gilberto
|
||
| Hoboken, NJ : , : John Wiley & Sons Inc., , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The biostatistics of aging : from Gompertzian mortality and to an index of aging-relatedness / / Gilberto Levy, Bruce Levin
| The biostatistics of aging : from Gompertzian mortality and to an index of aging-relatedness / / Gilberto Levy, Bruce Levin |
| Autore | Levy Gilberto |
| Pubbl/distr/stampa | Hoboken, NJ : , : John Wiley & Sons Inc., , [2014] |
| Descrizione fisica | 1 online resource (270 p.) |
| Disciplina | 571.8/78 |
| Altri autori (Persone) | LevinBruce A |
| Soggetto topico |
Aging - Statistical methods
Mortality - Statistical methods Life spans (Biology) |
| ISBN |
1-118-64584-7
1-118-64567-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
THE BIOSTATISTICS OF AGING: From Gompertzian Mortality to an Index of Aging-Relatedness; Copyright; CONTENTS; PREFACE AND ACKNOWLEDGMENT; 1 Introduction; 2 An Account of Gompertzian Mortality through Statistical and 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
4 The Index of Aging-Relatedness 4.1 A Survival Mixture Model of the Gompertz and Weibull Distributions; 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 5.5 The Public Health Notion of Compression of Morbidity 5.6 A Picture of Aging for the Twenty-First Century; APPENDIX A: PROOFS OF RESULTS IN SECTION 2.1.2 WITH SOME EXTENSIONS; APPENDIX B: DERIVATION OF HAMILTON'S EQUATION FOR THE FORCE OF NATURAL SELECTION ON MORTALITY; APPENDIX C: SOME PROPERTIES OF THE GOMPERTZ AND WEIBULL DISTRIBUTIONS; APPENDIX D: FIRST AND SECOND PARTIAL DERIVATIVES OF THE MIXTURE LOG-LIKELIHOOD FUNCTION; APPENDIX E: EXPECTATION-CONDITIONAL MAXIMIZATION(ECM) ALGORITHM; APPENDIX F: R PROGRAM; REFERENCES; AUTHOR INDEX; SUBJECT INDEX |
| Record Nr. | UNINA-9910818426803321 |
|
Levy Gilberto
|
||
| Hoboken, NJ : , : John Wiley & Sons Inc., , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Method for constructing complete annual U.S. life tables / / by Robert N. Anderson
| Method for constructing complete annual U.S. life tables / / by Robert N. Anderson |
| Autore | Anderson Robert N (Statistician) |
| Pubbl/distr/stampa | Hyattsville, Maryland : , : U.S. Department of Health and Human Services, Centers for Disease Control and Prevention, National Center for Health Statistics, , 1999 |
| Descrizione fisica | 1 online resource (iv, 28 pages) : illustrations |
| Collana |
Vital and health statistics. Series 2, Data evaluation and methods research
DHHS publication |
| Soggetto topico |
Life insurance - United States - Statistical methods
Health insurance - United States - Statistical methods Mortality - United States - Statistical methods Public health - United States - Statistical methods Life insurance - Statistical methods Mortality - Statistical methods Public health - Statistical methods |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Method for constructing complete annual United States life tables |
| Record Nr. | UNINA-9910712971403321 |
|
Anderson Robert N (Statistician)
|
||
| Hyattsville, Maryland : , : U.S. Department of Health and Human Services, Centers for Disease Control and Prevention, National Center for Health Statistics, , 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Survival models and data analysis / / Regina C. Elandt-Johnson, Norman L. Johnson
| Survival models and data analysis / / Regina C. Elandt-Johnson, Norman L. Johnson |
| Autore | Elandt-Johnson Regina C. <1918-2011, > |
| Edizione | [Wiley classics library edition.] |
| Pubbl/distr/stampa | New York, New York : , : John Wiley & Sons, Inc., , 1980 |
| Descrizione fisica | 1 online resource (478 p.) |
| Disciplina | 610/.7/27 |
| Collana | Wiley Classics Library |
| Soggetto topico |
Survival analysis (Biometry)
Failure time data analysis Mortality - Statistical methods Medical statistics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-119-01104-3
1-119-01103-5 1-119-01101-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Preface; Contents; PART 1. SURVIVAL MEASUREMENTS AND CONCEPTS; 1. SURVIVAL DATA; 1.1 Scope of the Book; 1.2 Sources of Data; 1.3 Types of Variables; 1.4 Exposure to Risk; 1.5 Use of Probability Theory; 1.6 The Collection of Survival Data; 2. MEASURES OF MORTALITY AND MORBIDITY. RATIOS, PROPORTIONS, AND MEANS; 2.1 Introduction; 2.2 Ratios and Proportions; 2.2.1 Ratios; 2.2.2 Proportion; 2.3 Rates of Continuous Processes; 2.3.1 Absolute Rate; 2.3.2 Relative Rate; 2.3.3 Average (Central) Rate; 2.4 Rates for Repetitive Events; 2.5 Crude Birth Rate
2.6 Mortality Measures Used in Vital Statistics2.6.1 The Concept of Population Exposed to Risk; 2.6.2 Crude Death Rate; 2.6.3 Age Specific Death Rates; 2.6.4 Cause Specific Mortality Used in Vital Statistics; 2.7 Relationships Between Crude and Age Specific Rates; 2.8 Standardized Mortality Ratio (SMR): Indirect Standardization; 2.9 Direct Standardization; 2.10 Evaluation of Person-Years of Exposed to Risk in Long-Term Studies; 2.10.1 'Exact' Dates for Each Individual Available; 2.10.2 Only Years of Birth, Entry, and Departure Available; 2.11 Prevalence and Incidence of a Disease 2.11.1 Prevalence2.11.2 Incidence; 2.12 Association Between Disease and Risk Factor. Relative Risk and Odds Ratio; 2.12.1 Relative Risk; 2.12.2 Odds Ratio; 3. SURVIVAL DISTRIBUTIONS; 3.1 Introduction; 3.2 Survival Distribution Functions; 3.3 Hazard Function (Force of Mortality); 3.4 Conditional Probabilities of Death (Failure) and Central Rate; 3.5 Truncated Distributions; 3.6 Expectation and Variance of Future Lifetime; 3.7 Median of Future Lifetime; 3.8 Transformations of Random Variables; 3.9 Location-Scale Families of Distributions; 3.10 Some Survival Distributions 3.11 Some Models of Failure3.11.1 Series System; 3.11.2 Parallel System; 3.12 Probability Integral Transformation; 3.13 Compound Distributions; 3.14 Miscellanea; 3.14.1 Interpolation; 3.14.2 Method of Statistical Differentials; 3.15 Maximum Likelihood Estimation and Likelihood Ratio Tests; 3.15.1 Construction of Likelihood Functions; 3.15.2 Maximum Likelihood Estimation; 3.15.3 Expected Values, Variances and Covariances of the MLE's; 3.15.4 Assessing Goodness of Fit; PART 2. MORTALITY EXPERIENCES AND LIFE TABLES; 4. LIFE TABLES: FUNDAMENTALS AND CONSTRUCTION; 4.1 Introduction 4.2 Life Table: Basic Definition and Notation4.3 Force of Mortality. Mathematical Relationships Among Basic Life Table Functions; 4.4 Central Death Rate; 4.5 Interpolation for Life Table Functions; 4.6 Some Approximate Relationships Between nqx and nmx; 4.6.1 Expected Fraction of the Last n Years of Life; 4.6.2 Special Cases; 4.6.3 Exponential Approximation; 4.7 Some Approximations to μx; 4.8 Concepts of Stationary and Stable Populations; 4.8.1 Stationary Population; 4.8.2 Stable Population; 4.9 Construction of an Abridged Life Table from Mortality Experience of a Current Population 4.9.1 Evaluation of nMx |
| Record Nr. | UNINA-9910208959403321 |
|
Elandt-Johnson Regina C. <1918-2011, >
|
||
| New York, New York : , : John Wiley & Sons, Inc., , 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Survival models and data analysis / / Regina C. Elandt-Johnson, Norman L. Johnson
| Survival models and data analysis / / Regina C. Elandt-Johnson, Norman L. Johnson |
| Autore | Elandt-Johnson Regina C. <1918-2011, > |
| Edizione | [Wiley classics library edition.] |
| Pubbl/distr/stampa | New York, New York : , : John Wiley & Sons, Inc., , 1980 |
| Descrizione fisica | 1 online resource (478 p.) |
| Disciplina | 610/.7/27 |
| Collana | Wiley Classics Library |
| Soggetto topico |
Survival analysis (Biometry)
Failure time data analysis Mortality - Statistical methods Medical statistics |
| ISBN |
1-119-01104-3
1-119-01103-5 1-119-01101-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Preface; Contents; PART 1. SURVIVAL MEASUREMENTS AND CONCEPTS; 1. SURVIVAL DATA; 1.1 Scope of the Book; 1.2 Sources of Data; 1.3 Types of Variables; 1.4 Exposure to Risk; 1.5 Use of Probability Theory; 1.6 The Collection of Survival Data; 2. MEASURES OF MORTALITY AND MORBIDITY. RATIOS, PROPORTIONS, AND MEANS; 2.1 Introduction; 2.2 Ratios and Proportions; 2.2.1 Ratios; 2.2.2 Proportion; 2.3 Rates of Continuous Processes; 2.3.1 Absolute Rate; 2.3.2 Relative Rate; 2.3.3 Average (Central) Rate; 2.4 Rates for Repetitive Events; 2.5 Crude Birth Rate
2.6 Mortality Measures Used in Vital Statistics2.6.1 The Concept of Population Exposed to Risk; 2.6.2 Crude Death Rate; 2.6.3 Age Specific Death Rates; 2.6.4 Cause Specific Mortality Used in Vital Statistics; 2.7 Relationships Between Crude and Age Specific Rates; 2.8 Standardized Mortality Ratio (SMR): Indirect Standardization; 2.9 Direct Standardization; 2.10 Evaluation of Person-Years of Exposed to Risk in Long-Term Studies; 2.10.1 'Exact' Dates for Each Individual Available; 2.10.2 Only Years of Birth, Entry, and Departure Available; 2.11 Prevalence and Incidence of a Disease 2.11.1 Prevalence2.11.2 Incidence; 2.12 Association Between Disease and Risk Factor. Relative Risk and Odds Ratio; 2.12.1 Relative Risk; 2.12.2 Odds Ratio; 3. SURVIVAL DISTRIBUTIONS; 3.1 Introduction; 3.2 Survival Distribution Functions; 3.3 Hazard Function (Force of Mortality); 3.4 Conditional Probabilities of Death (Failure) and Central Rate; 3.5 Truncated Distributions; 3.6 Expectation and Variance of Future Lifetime; 3.7 Median of Future Lifetime; 3.8 Transformations of Random Variables; 3.9 Location-Scale Families of Distributions; 3.10 Some Survival Distributions 3.11 Some Models of Failure3.11.1 Series System; 3.11.2 Parallel System; 3.12 Probability Integral Transformation; 3.13 Compound Distributions; 3.14 Miscellanea; 3.14.1 Interpolation; 3.14.2 Method of Statistical Differentials; 3.15 Maximum Likelihood Estimation and Likelihood Ratio Tests; 3.15.1 Construction of Likelihood Functions; 3.15.2 Maximum Likelihood Estimation; 3.15.3 Expected Values, Variances and Covariances of the MLE's; 3.15.4 Assessing Goodness of Fit; PART 2. MORTALITY EXPERIENCES AND LIFE TABLES; 4. LIFE TABLES: FUNDAMENTALS AND CONSTRUCTION; 4.1 Introduction 4.2 Life Table: Basic Definition and Notation4.3 Force of Mortality. Mathematical Relationships Among Basic Life Table Functions; 4.4 Central Death Rate; 4.5 Interpolation for Life Table Functions; 4.6 Some Approximate Relationships Between nqx and nmx; 4.6.1 Expected Fraction of the Last n Years of Life; 4.6.2 Special Cases; 4.6.3 Exponential Approximation; 4.7 Some Approximations to μx; 4.8 Concepts of Stationary and Stable Populations; 4.8.1 Stationary Population; 4.8.2 Stable Population; 4.9 Construction of an Abridged Life Table from Mortality Experience of a Current Population 4.9.1 Evaluation of nMx |
| Record Nr. | UNINA-9910643608203321 |
|
Elandt-Johnson Regina C. <1918-2011, >
|
||
| New York, New York : , : John Wiley & Sons, Inc., , 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Survival models and data analysis / / Regina C. Elandt-Johnson, Norman L. Johnson
| Survival models and data analysis / / Regina C. Elandt-Johnson, Norman L. Johnson |
| Autore | Elandt-Johnson Regina C. <1918-2011, > |
| Edizione | [Wiley classics library edition.] |
| Pubbl/distr/stampa | New York, New York : , : John Wiley & Sons, Inc., , 1980 |
| Descrizione fisica | 1 online resource (478 p.) |
| Disciplina | 610/.7/27 |
| Collana | Wiley Classics Library |
| Soggetto topico |
Survival analysis (Biometry)
Failure time data analysis Mortality - Statistical methods Medical statistics |
| ISBN |
1-119-01104-3
1-119-01103-5 1-119-01101-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Preface; Contents; PART 1. SURVIVAL MEASUREMENTS AND CONCEPTS; 1. SURVIVAL DATA; 1.1 Scope of the Book; 1.2 Sources of Data; 1.3 Types of Variables; 1.4 Exposure to Risk; 1.5 Use of Probability Theory; 1.6 The Collection of Survival Data; 2. MEASURES OF MORTALITY AND MORBIDITY. RATIOS, PROPORTIONS, AND MEANS; 2.1 Introduction; 2.2 Ratios and Proportions; 2.2.1 Ratios; 2.2.2 Proportion; 2.3 Rates of Continuous Processes; 2.3.1 Absolute Rate; 2.3.2 Relative Rate; 2.3.3 Average (Central) Rate; 2.4 Rates for Repetitive Events; 2.5 Crude Birth Rate
2.6 Mortality Measures Used in Vital Statistics2.6.1 The Concept of Population Exposed to Risk; 2.6.2 Crude Death Rate; 2.6.3 Age Specific Death Rates; 2.6.4 Cause Specific Mortality Used in Vital Statistics; 2.7 Relationships Between Crude and Age Specific Rates; 2.8 Standardized Mortality Ratio (SMR): Indirect Standardization; 2.9 Direct Standardization; 2.10 Evaluation of Person-Years of Exposed to Risk in Long-Term Studies; 2.10.1 'Exact' Dates for Each Individual Available; 2.10.2 Only Years of Birth, Entry, and Departure Available; 2.11 Prevalence and Incidence of a Disease 2.11.1 Prevalence2.11.2 Incidence; 2.12 Association Between Disease and Risk Factor. Relative Risk and Odds Ratio; 2.12.1 Relative Risk; 2.12.2 Odds Ratio; 3. SURVIVAL DISTRIBUTIONS; 3.1 Introduction; 3.2 Survival Distribution Functions; 3.3 Hazard Function (Force of Mortality); 3.4 Conditional Probabilities of Death (Failure) and Central Rate; 3.5 Truncated Distributions; 3.6 Expectation and Variance of Future Lifetime; 3.7 Median of Future Lifetime; 3.8 Transformations of Random Variables; 3.9 Location-Scale Families of Distributions; 3.10 Some Survival Distributions 3.11 Some Models of Failure3.11.1 Series System; 3.11.2 Parallel System; 3.12 Probability Integral Transformation; 3.13 Compound Distributions; 3.14 Miscellanea; 3.14.1 Interpolation; 3.14.2 Method of Statistical Differentials; 3.15 Maximum Likelihood Estimation and Likelihood Ratio Tests; 3.15.1 Construction of Likelihood Functions; 3.15.2 Maximum Likelihood Estimation; 3.15.3 Expected Values, Variances and Covariances of the MLE's; 3.15.4 Assessing Goodness of Fit; PART 2. MORTALITY EXPERIENCES AND LIFE TABLES; 4. LIFE TABLES: FUNDAMENTALS AND CONSTRUCTION; 4.1 Introduction 4.2 Life Table: Basic Definition and Notation4.3 Force of Mortality. Mathematical Relationships Among Basic Life Table Functions; 4.4 Central Death Rate; 4.5 Interpolation for Life Table Functions; 4.6 Some Approximate Relationships Between nqx and nmx; 4.6.1 Expected Fraction of the Last n Years of Life; 4.6.2 Special Cases; 4.6.3 Exponential Approximation; 4.7 Some Approximations to μx; 4.8 Concepts of Stationary and Stable Populations; 4.8.1 Stationary Population; 4.8.2 Stable Population; 4.9 Construction of an Abridged Life Table from Mortality Experience of a Current Population 4.9.1 Evaluation of nMx |
| Record Nr. | UNINA-9910830008803321 |
|
Elandt-Johnson Regina C. <1918-2011, >
|
||
| New York, New York : , : John Wiley & Sons, Inc., , 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Toward an index of preventable mortality / / Theodore D. Woolsey
| Toward an index of preventable mortality / / Theodore D. Woolsey |
| Autore | Woolsey Theodore D. <1913-1992, > |
| Pubbl/distr/stampa | Hyattsville, Md. : , : U.S. Department of Health and Human Services, Public Health Service, Office of Health Research, Statistics, and Technology, National Center for Health Statistics, , 1981 |
| Descrizione fisica | 1 online resource (iv, 37 pages) : illustrations |
| Collana |
Vital and health statistics. Series 2, Data evaluation and methods research
DHHS publication |
| Soggetto topico |
Mortality - United States - Statistical methods
Death - Causes - Statistical methods Health status indicators - United States - Statistical methods Health status indicators - Statistical methods Mortality - Statistical methods |
| Soggetto genere / forma |
Medical statistics.
Vital statistics. |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910713309403321 |
