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Reliability and risk [[electronic resource] ] : a Bayesian perspective / / Nozer D. Singpurwalla
| Reliability and risk [[electronic resource] ] : a Bayesian perspective / / Nozer D. Singpurwalla |
| Autore | Singpurwalla Nozer D |
| Pubbl/distr/stampa | Chichester, West Sussex, England ; ; New York, : J. Wiley & Sons, c2006 |
| Descrizione fisica | 1 online resource (398 p.) |
| Disciplina |
620.001/51
620.00151 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Reliability (Engineering) - Mathematical models
Risk management - Mathematical models Bayesian statistical decision theory |
| ISBN |
1-280-64916-X
9786610649167 0-470-06034-4 0-470-06033-6 |
| Classificazione | 31.73 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Reliability and Risk; Contents; Preface; Acknowledgements; 1 Introduction and Overview; 1.1 Preamble: What do 'Reliability', 'Risk' and 'Robustness' Mean?; 1.2 Objectives and Prospective Readership; 1.3 Reliability, Risk and Survival: State-of-the-Art; 1.4 Risk Management: A Motivation for Risk Analysis; 1.5 Books on Reliability, Risk and Survival Analysis; 1.6 Overview of the Book; 2 The Quantification of Uncertainty; 2.1 Uncertain Quantities and Uncertain Events: Their Definition and Codification; 2.2 Probability: A Satisfactory Way to Quantify Uncertainty; 2.2.1 The Rules of Probability
2.2.2 Justifying the Rules of Probability2.3 Overview of the Different Interpretations of Probability; 2.3.1 A Brief History of Probability; 2.3.2 The Different Kinds of Probability; 2.4 Extending the Rules of Probability: Law of Total Probability and Bayes' Law; 2.4.1 Marginalization; 2.4.2 The Law of Total Probability; 2.4.3 Bayes' Law: The Incorporation of Evidence and the Likelihood; 2.5 The Bayesian Paradigm: A Prescription for Reliability, Risk and Survival Analysis; 2.6 Probability Models, Parameters, Inference and Prediction 2.6.1 The Genesis of Probability Models and Their Parameters2.6.2 Statistical Inference and Probabilistic Prediction; 2.7 Testing Hypotheses: Posterior Odds and Bayes Factors; 2.7.1 Bayes Factors: Weight of Evidence and Change in Odds; 2.7.2 Uses of the Bayes Factor; 2.7.3 Alternatives to Bayes Factors; 2.8 Utility as Probability and Maximization of Expected Utility; 2.8.1 Utility as a Probability; 2.8.2 Maximization of Expected Utility; 2.8.3 Attitudes to Risk: The Utility of Money; 2.9 Decision Trees and Influence Diagrams for Risk Analysis; 2.9.1 The Decision Tree 2.9.2 The Influence Diagram3 Exchangeability and Indifference; 3.1 Introduction to Exchangeability: de Finetti's Theorem; 3.1.1 Motivation for the Judgment of Exchangeability; 3.1.2 Relationship between Independence and Exchangeability; 3.1.3 de Finetti's Representation Theorem for Zero-one Exchangeable Sequences; 3.1.4 Exchangeable Sequences and the Law of Large Numbers; 3.2 de Finetti-style Theorems for Infinite Sequences of Non-binary Random Quantities; 3.2.1 Sufficiency and Indifference in Zero-one Exchangeable Sequences 3.2.2 Invariance Conditions Leading to Mixtures of Other Distributions3.3 Error Bounds on de Finetti-style Results for Finite Sequences of Random Quantities; 3.3.1 Bounds for Finitely Extendable Zero-one Random Quantities; 3.3.2 Bounds for Finitely Extendable Non-binary Random Quantities; 4 Stochastic Models of Failure; 4.1 Introduction; 4.2 Preliminaries: Univariate, Multivariate and Multi-indexed Distribution Functions; 4.3 The Predictive Failure Rate Function of a Univariate Probability Distribution; 4.3.1 The Case of Discontinuity 4.4 Interpretation and Uses of the Failure Rate Function - the Model Failure Rate |
| Record Nr. | UNINA-9910143747103321 |
Singpurwalla Nozer D
|
||
| Chichester, West Sussex, England ; ; New York, : J. Wiley & Sons, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reliability and risk [[electronic resource] ] : a Bayesian perspective / / Nozer D. Singpurwalla
| Reliability and risk [[electronic resource] ] : a Bayesian perspective / / Nozer D. Singpurwalla |
| Autore | Singpurwalla Nozer D |
| Pubbl/distr/stampa | Chichester, West Sussex, England ; ; New York, : J. Wiley & Sons, c2006 |
| Descrizione fisica | 1 online resource (398 p.) |
| Disciplina |
620.001/51
620.00151 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Reliability (Engineering) - Mathematical models
Risk management - Mathematical models Bayesian statistical decision theory |
| ISBN |
1-280-64916-X
9786610649167 0-470-06034-4 0-470-06033-6 |
| Classificazione | 31.73 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Reliability and Risk; Contents; Preface; Acknowledgements; 1 Introduction and Overview; 1.1 Preamble: What do 'Reliability', 'Risk' and 'Robustness' Mean?; 1.2 Objectives and Prospective Readership; 1.3 Reliability, Risk and Survival: State-of-the-Art; 1.4 Risk Management: A Motivation for Risk Analysis; 1.5 Books on Reliability, Risk and Survival Analysis; 1.6 Overview of the Book; 2 The Quantification of Uncertainty; 2.1 Uncertain Quantities and Uncertain Events: Their Definition and Codification; 2.2 Probability: A Satisfactory Way to Quantify Uncertainty; 2.2.1 The Rules of Probability
2.2.2 Justifying the Rules of Probability2.3 Overview of the Different Interpretations of Probability; 2.3.1 A Brief History of Probability; 2.3.2 The Different Kinds of Probability; 2.4 Extending the Rules of Probability: Law of Total Probability and Bayes' Law; 2.4.1 Marginalization; 2.4.2 The Law of Total Probability; 2.4.3 Bayes' Law: The Incorporation of Evidence and the Likelihood; 2.5 The Bayesian Paradigm: A Prescription for Reliability, Risk and Survival Analysis; 2.6 Probability Models, Parameters, Inference and Prediction 2.6.1 The Genesis of Probability Models and Their Parameters2.6.2 Statistical Inference and Probabilistic Prediction; 2.7 Testing Hypotheses: Posterior Odds and Bayes Factors; 2.7.1 Bayes Factors: Weight of Evidence and Change in Odds; 2.7.2 Uses of the Bayes Factor; 2.7.3 Alternatives to Bayes Factors; 2.8 Utility as Probability and Maximization of Expected Utility; 2.8.1 Utility as a Probability; 2.8.2 Maximization of Expected Utility; 2.8.3 Attitudes to Risk: The Utility of Money; 2.9 Decision Trees and Influence Diagrams for Risk Analysis; 2.9.1 The Decision Tree 2.9.2 The Influence Diagram3 Exchangeability and Indifference; 3.1 Introduction to Exchangeability: de Finetti's Theorem; 3.1.1 Motivation for the Judgment of Exchangeability; 3.1.2 Relationship between Independence and Exchangeability; 3.1.3 de Finetti's Representation Theorem for Zero-one Exchangeable Sequences; 3.1.4 Exchangeable Sequences and the Law of Large Numbers; 3.2 de Finetti-style Theorems for Infinite Sequences of Non-binary Random Quantities; 3.2.1 Sufficiency and Indifference in Zero-one Exchangeable Sequences 3.2.2 Invariance Conditions Leading to Mixtures of Other Distributions3.3 Error Bounds on de Finetti-style Results for Finite Sequences of Random Quantities; 3.3.1 Bounds for Finitely Extendable Zero-one Random Quantities; 3.3.2 Bounds for Finitely Extendable Non-binary Random Quantities; 4 Stochastic Models of Failure; 4.1 Introduction; 4.2 Preliminaries: Univariate, Multivariate and Multi-indexed Distribution Functions; 4.3 The Predictive Failure Rate Function of a Univariate Probability Distribution; 4.3.1 The Case of Discontinuity 4.4 Interpretation and Uses of the Failure Rate Function - the Model Failure Rate |
| Record Nr. | UNINA-9910830093303321 |
|
Singpurwalla Nozer D
|
||
| Chichester, West Sussex, England ; ; New York, : J. Wiley & Sons, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reliability and risk : a Bayesian perspective / / Nozer D. Singpurwalla
| Reliability and risk : a Bayesian perspective / / Nozer D. Singpurwalla |
| Autore | Singpurwalla Nozer D |
| Pubbl/distr/stampa | Chichester, West Sussex, England ; ; New York, : J. Wiley & Sons, c2006 |
| Descrizione fisica | 1 online resource (398 p.) |
| Disciplina | 620.001/51 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Reliability (Engineering) - Mathematical models
Risk management - Mathematical models Bayesian statistical decision theory |
| ISBN |
1-280-64916-X
9786610649167 0-470-06034-4 0-470-06033-6 |
| Classificazione | 31.73 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Reliability and Risk; Contents; Preface; Acknowledgements; 1 Introduction and Overview; 1.1 Preamble: What do 'Reliability', 'Risk' and 'Robustness' Mean?; 1.2 Objectives and Prospective Readership; 1.3 Reliability, Risk and Survival: State-of-the-Art; 1.4 Risk Management: A Motivation for Risk Analysis; 1.5 Books on Reliability, Risk and Survival Analysis; 1.6 Overview of the Book; 2 The Quantification of Uncertainty; 2.1 Uncertain Quantities and Uncertain Events: Their Definition and Codification; 2.2 Probability: A Satisfactory Way to Quantify Uncertainty; 2.2.1 The Rules of Probability
2.2.2 Justifying the Rules of Probability2.3 Overview of the Different Interpretations of Probability; 2.3.1 A Brief History of Probability; 2.3.2 The Different Kinds of Probability; 2.4 Extending the Rules of Probability: Law of Total Probability and Bayes' Law; 2.4.1 Marginalization; 2.4.2 The Law of Total Probability; 2.4.3 Bayes' Law: The Incorporation of Evidence and the Likelihood; 2.5 The Bayesian Paradigm: A Prescription for Reliability, Risk and Survival Analysis; 2.6 Probability Models, Parameters, Inference and Prediction 2.6.1 The Genesis of Probability Models and Their Parameters2.6.2 Statistical Inference and Probabilistic Prediction; 2.7 Testing Hypotheses: Posterior Odds and Bayes Factors; 2.7.1 Bayes Factors: Weight of Evidence and Change in Odds; 2.7.2 Uses of the Bayes Factor; 2.7.3 Alternatives to Bayes Factors; 2.8 Utility as Probability and Maximization of Expected Utility; 2.8.1 Utility as a Probability; 2.8.2 Maximization of Expected Utility; 2.8.3 Attitudes to Risk: The Utility of Money; 2.9 Decision Trees and Influence Diagrams for Risk Analysis; 2.9.1 The Decision Tree 2.9.2 The Influence Diagram3 Exchangeability and Indifference; 3.1 Introduction to Exchangeability: de Finetti's Theorem; 3.1.1 Motivation for the Judgment of Exchangeability; 3.1.2 Relationship between Independence and Exchangeability; 3.1.3 de Finetti's Representation Theorem for Zero-one Exchangeable Sequences; 3.1.4 Exchangeable Sequences and the Law of Large Numbers; 3.2 de Finetti-style Theorems for Infinite Sequences of Non-binary Random Quantities; 3.2.1 Sufficiency and Indifference in Zero-one Exchangeable Sequences 3.2.2 Invariance Conditions Leading to Mixtures of Other Distributions3.3 Error Bounds on de Finetti-style Results for Finite Sequences of Random Quantities; 3.3.1 Bounds for Finitely Extendable Zero-one Random Quantities; 3.3.2 Bounds for Finitely Extendable Non-binary Random Quantities; 4 Stochastic Models of Failure; 4.1 Introduction; 4.2 Preliminaries: Univariate, Multivariate and Multi-indexed Distribution Functions; 4.3 The Predictive Failure Rate Function of a Univariate Probability Distribution; 4.3.1 The Case of Discontinuity 4.4 Interpretation and Uses of the Failure Rate Function - the Model Failure Rate |
| Record Nr. | UNINA-9910877274803321 |
|
Singpurwalla Nozer D
|
||
| Chichester, West Sussex, England ; ; New York, : J. Wiley & Sons, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||