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Degenerate diffusions : initial value problems and local regularity theory / Panagiota Daskalopoulos, Carlos E. Kenig
| Degenerate diffusions : initial value problems and local regularity theory / Panagiota Daskalopoulos, Carlos E. Kenig |
| Autore | Daskalopoulos, Panagiota |
| Pubbl/distr/stampa | Zurich : European Mathematical Society, c2007 |
| Descrizione fisica | vii, 198 p.; 25 cm |
| Disciplina | 515.353 |
| Altri autori (Persone) | Kenig, Carlos E. |
| Collana | EMS tracts in mathematics ; 1 |
| Soggetto topico |
Reaction-diffusion equations
Cauchy problem Dirichlet problem Porous materials - Mathematical models |
| ISBN | 9783037190333 |
| Classificazione |
AMS 34D05
AMS 35B25 AMS 35B40 AMS 35J20 AMS 35J70 AMS 35K55 AMS 35K65 LC QA378.D37 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000292789707536 |
Daskalopoulos, Panagiota
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| Zurich : European Mathematical Society, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Dirichlet and related distributions : theory, methods and applications / / Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang
| Dirichlet and related distributions : theory, methods and applications / / Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang |
| Autore | Ng Kai Wang |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2011 |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina |
515.782
519.2/4 |
| Collana | Wiley Series in Probability and Statistics |
| Soggetto topico |
Distribution (Probability theory)
Dirichlet problem |
| ISBN |
1-283-40560-1
9786613405609 1-119-99841-7 1-119-99586-8 1-119-99578-7 |
| Classificazione | MAT029000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Dirichlet and Related Distributions: Theory, Methods and Applications; Contents; Preface; Acknowledgments; List of abbreviations; List of symbols; List of figures; List of tables; 1 Introduction; 1.1 Motivating examples; 1.2 Stochastic representation and the d= operator; 1.2.1 Definition of stochastic representation; 1.2.2 More properties on the d = operator; 1.3 Beta and inverted beta distributions; 1.4 Some useful identities and integral formulae; 1.4.1 Partial-fraction expansion; 1.4.2 Cambanis-Keener-Simons integral formulae; 1.4.3 Hermite-Genocchi integral formula
1.5 The Newton-Raphson algorithm1.6 Likelihood in missing-data problems; 1.6.1 Missing-data mechanism; 1.6.2 The expectation-maximization (EM) algorithm; 1.6.3 The expectation/conditional maximization (ECM) algorithm; 1.6.4 The EM gradient algorithm; 1.7 Bayesian MDPs and inversion of Bayes' formula; 1.7.1 The data augmentation (DA) algorithm; 1.7.2 True nature of Bayesian MDP: inversion of Bayes' formula; 1.7.3 Explicit solution to the DA integral equation; 1.7.4 Sampling issues in Bayesian MDPs; 1.8 Basic statistical distributions; 1.8.1 Discrete distributions 1.8.2 Continuous distributions2 Dirichlet distribution; 2.1 Definition and basic properties; 2.1.1 Density function and moments; 2.1.2 Stochastic representations and mode; 2.2 Marginal and conditional distributions; 2.3 Survival function and cumulative distribution function; 2.3.1 Survival function; 2.3.2 Cumulative distribution function; 2.4 Characteristic functions; 2.4.1 The characteristic function of u ~ U(Tn); 2.4.2 The characteristic function of v ~ U(Tn); 2.4.3 The characteristic function of a Dirichlet random vector; 2.5 Distribution for linear function of a Dirichlet random vector 2.5.1 Density for linear function of v ~ U(Vn)2.5.2 Density for linear function of u ~ U(Tn); 2.5.3 A unified approach to linear functions of variables and order statistics; 2.5.4 Cumulative distribution function for linear function of a Dirichlet random vector; 2.6 Characterizations; 2.6.1 Mosimann's characterization; 2.6.2 Darroch and Ratcliff's characterization; 2.6.3 Characterization through neutrality; 2.6.4 Characterization through complete neutrality; 2.6.5 Characterization through global and local parameter independence; 2.7 MLEs of the Dirichlet parameters 2.7.1 MLE via the Newton-Raphson algorithm2.7.2 MLE via the EM gradient algorithm; 2.7.3 Analyzing serum-protein data of Pekin ducklings; 2.8 Generalized method of moments estimation; 2.8.1 Method of moments estimation; 2.8.2 Generalized method of moments estimation; 2.9 Estimation based on linear models; 2.9.1 Preliminaries; 2.9.2 Estimation based on individual linear models; 2.9.3 Estimation based on the overall linear model; 2.10 Application in estimating ROC area; 2.10.1 The ROC curve; 2.10.2 The ROC area; 2.10.3 Computing the posterior density of the ROC area 2.10.4 Analyzing the mammogram data of breast cancer |
| Record Nr. | UNINA-9910130868703321 |
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Ng Kai Wang
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| Chichester, England : , : Wiley, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Dirichlet and related distributions : theory, methods and applications / / Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang
| Dirichlet and related distributions : theory, methods and applications / / Kai Wang Ng, Guo-Liang Tian, Man-Lai Tang |
| Autore | Ng Kai Wang |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2011 |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina |
515.782
519.2/4 |
| Collana | Wiley Series in Probability and Statistics |
| Soggetto topico |
Distribution (Probability theory)
Dirichlet problem |
| ISBN |
1-283-40560-1
9786613405609 1-119-99841-7 1-119-99586-8 1-119-99578-7 |
| Classificazione | MAT029000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Dirichlet and Related Distributions: Theory, Methods and Applications; Contents; Preface; Acknowledgments; List of abbreviations; List of symbols; List of figures; List of tables; 1 Introduction; 1.1 Motivating examples; 1.2 Stochastic representation and the d= operator; 1.2.1 Definition of stochastic representation; 1.2.2 More properties on the d = operator; 1.3 Beta and inverted beta distributions; 1.4 Some useful identities and integral formulae; 1.4.1 Partial-fraction expansion; 1.4.2 Cambanis-Keener-Simons integral formulae; 1.4.3 Hermite-Genocchi integral formula
1.5 The Newton-Raphson algorithm1.6 Likelihood in missing-data problems; 1.6.1 Missing-data mechanism; 1.6.2 The expectation-maximization (EM) algorithm; 1.6.3 The expectation/conditional maximization (ECM) algorithm; 1.6.4 The EM gradient algorithm; 1.7 Bayesian MDPs and inversion of Bayes' formula; 1.7.1 The data augmentation (DA) algorithm; 1.7.2 True nature of Bayesian MDP: inversion of Bayes' formula; 1.7.3 Explicit solution to the DA integral equation; 1.7.4 Sampling issues in Bayesian MDPs; 1.8 Basic statistical distributions; 1.8.1 Discrete distributions 1.8.2 Continuous distributions2 Dirichlet distribution; 2.1 Definition and basic properties; 2.1.1 Density function and moments; 2.1.2 Stochastic representations and mode; 2.2 Marginal and conditional distributions; 2.3 Survival function and cumulative distribution function; 2.3.1 Survival function; 2.3.2 Cumulative distribution function; 2.4 Characteristic functions; 2.4.1 The characteristic function of u ~ U(Tn); 2.4.2 The characteristic function of v ~ U(Tn); 2.4.3 The characteristic function of a Dirichlet random vector; 2.5 Distribution for linear function of a Dirichlet random vector 2.5.1 Density for linear function of v ~ U(Vn)2.5.2 Density for linear function of u ~ U(Tn); 2.5.3 A unified approach to linear functions of variables and order statistics; 2.5.4 Cumulative distribution function for linear function of a Dirichlet random vector; 2.6 Characterizations; 2.6.1 Mosimann's characterization; 2.6.2 Darroch and Ratcliff's characterization; 2.6.3 Characterization through neutrality; 2.6.4 Characterization through complete neutrality; 2.6.5 Characterization through global and local parameter independence; 2.7 MLEs of the Dirichlet parameters 2.7.1 MLE via the Newton-Raphson algorithm2.7.2 MLE via the EM gradient algorithm; 2.7.3 Analyzing serum-protein data of Pekin ducklings; 2.8 Generalized method of moments estimation; 2.8.1 Method of moments estimation; 2.8.2 Generalized method of moments estimation; 2.9 Estimation based on linear models; 2.9.1 Preliminaries; 2.9.2 Estimation based on individual linear models; 2.9.3 Estimation based on the overall linear model; 2.10 Application in estimating ROC area; 2.10.1 The ROC curve; 2.10.2 The ROC area; 2.10.3 Computing the posterior density of the ROC area 2.10.4 Analyzing the mammogram data of breast cancer |
| Record Nr. | UNINA-9910813761303321 |
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Ng Kai Wang
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| Chichester, England : , : Wiley, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner
| A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner |
| Autore | Röckner Michael <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random fields
Distribution (Probability theory) Dirichlet problem Potential theory (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0737-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Self-adjoint harmonic spaces and measures of bounded energy""; ""3. The PWB-solution for distributions given an open set with compact boundary""; ""4. The PWB-solution for distributions given an arbitrary open set""; ""5. Free (D,H)-measures with Dirichlet conditions and completions of the a-fields""; ""6. A Dirichlet problem for distributions""; ""7. Prediction problem and construction of specifications""; ""8. The Gibbs states""; ""References"" |
| Record Nr. | UNINA-9910480586303321 |
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Röckner Michael <1956->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner
| A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner |
| Autore | Röckner Michael <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random fields
Distribution (Probability theory) Dirichlet problem Potential theory (Mathematics) |
| ISBN | 1-4704-0737-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Self-adjoint harmonic spaces and measures of bounded energy""; ""3. The PWB-solution for distributions given an open set with compact boundary""; ""4. The PWB-solution for distributions given an arbitrary open set""; ""5. Free (D,H)-measures with Dirichlet conditions and completions of the a-fields""; ""6. A Dirichlet problem for distributions""; ""7. Prediction problem and construction of specifications""; ""8. The Gibbs states""; ""References"" |
| Record Nr. | UNINA-9910788891403321 |
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Röckner Michael <1956->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner
| A Dirichlet problem for distributions and specifications for random fields / / Michael Röckner |
| Autore | Röckner Michael <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 519.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Random fields
Distribution (Probability theory) Dirichlet problem Potential theory (Mathematics) |
| ISBN | 1-4704-0737-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""1. Introduction""; ""2. Self-adjoint harmonic spaces and measures of bounded energy""; ""3. The PWB-solution for distributions given an open set with compact boundary""; ""4. The PWB-solution for distributions given an arbitrary open set""; ""5. Free (D,H)-measures with Dirichlet conditions and completions of the a-fields""; ""6. A Dirichlet problem for distributions""; ""7. Prediction problem and construction of specifications""; ""8. The Gibbs states""; ""References"" |
| Record Nr. | UNINA-9910812435903321 |
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Röckner Michael <1956->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Dirichlet problem for elliptic-hyperbolic equations of Keldysh type / Thomas H. Otway
| The Dirichlet problem for elliptic-hyperbolic equations of Keldysh type / Thomas H. Otway |
| Autore | Otway, Thomas H. |
| Pubbl/distr/stampa | Berlin ; Heidelberg ; New York : Springer Verlag, c2012 |
| Descrizione fisica | ix, 214 p. : ill. (some col.) ; 24 cm |
| Disciplina | 515.353 |
| Collana | Lecture notes in mathematics, 0075-8434 ; 2043 |
| Soggetto topico |
Differential equations, Elliptic
Differential equations, Hyperbolic Dirichlet problem |
| ISBN | 9783642244148 |
| Classificazione |
AMS 35-XX
AMS 35M10 LC QA371.O73 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001808859707536 |
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Otway, Thomas H.
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| Berlin ; Heidelberg ; New York : Springer Verlag, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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The Dirichlet problem for parabolic operators with singular drift terms / / Steve Hofmann, John L. Lewis
| The Dirichlet problem for parabolic operators with singular drift terms / / Steve Hofmann, John L. Lewis |
| Autore | Hofmann Steve <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (129 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Dirichlet problem
Parabolic operators |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0312-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter I. The Dirichlet Problem and Parabolic Measure""; ""1. Introduction""; ""2. Statement of Results""; ""3. Basic Estimates""; ""4. Proof of Theorem 2.13 in a Special Case""; ""5. Proof of Theorem 2.13""; ""6. References""; ""Chapter II. Absolute Continuity and the L[sup(p)] Dirichlet Problem: Part 1""; ""1. Introduction""; ""2. Preliminary Reductions for Theorem 1.10""; ""3. Lemmas on Parabolic Measure""; ""4. Extrapolation""; ""5. References""; ""Chapter III. Absolute Continuity and the L[sup(p)] Dirichlet Problem: Part 2""; ""1. Introduction""
""2. Proof of Theorem 1.7 in a Special Case""""3. Proof of Theorem 1.7""; ""4. Elliptic Results""; ""5. References"" |
| Record Nr. | UNINA-9910479979703321 |
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Hofmann Steve <1958->
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| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Dirichlet problem for parabolic operators with singular drift terms / / Steve Hofmann, John L. Lewis
| The Dirichlet problem for parabolic operators with singular drift terms / / Steve Hofmann, John L. Lewis |
| Autore | Hofmann Steve <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (129 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Dirichlet problem
Parabolic operators |
| ISBN | 1-4704-0312-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter I. The Dirichlet Problem and Parabolic Measure""; ""1. Introduction""; ""2. Statement of Results""; ""3. Basic Estimates""; ""4. Proof of Theorem 2.13 in a Special Case""; ""5. Proof of Theorem 2.13""; ""6. References""; ""Chapter II. Absolute Continuity and the L[sup(p)] Dirichlet Problem: Part 1""; ""1. Introduction""; ""2. Preliminary Reductions for Theorem 1.10""; ""3. Lemmas on Parabolic Measure""; ""4. Extrapolation""; ""5. References""; ""Chapter III. Absolute Continuity and the L[sup(p)] Dirichlet Problem: Part 2""; ""1. Introduction""
""2. Proof of Theorem 1.7 in a Special Case""""3. Proof of Theorem 1.7""; ""4. Elliptic Results""; ""5. References"" |
| Record Nr. | UNINA-9910788843403321 |
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Hofmann Steve <1958->
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||
| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Dirichlet problem for parabolic operators with singular drift terms / / Steve Hofmann, John L. Lewis
| The Dirichlet problem for parabolic operators with singular drift terms / / Steve Hofmann, John L. Lewis |
| Autore | Hofmann Steve <1958-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2001] |
| Descrizione fisica | 1 online resource (129 p.) |
| Disciplina |
510 s
515/.353 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Dirichlet problem
Parabolic operators |
| ISBN | 1-4704-0312-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter I. The Dirichlet Problem and Parabolic Measure""; ""1. Introduction""; ""2. Statement of Results""; ""3. Basic Estimates""; ""4. Proof of Theorem 2.13 in a Special Case""; ""5. Proof of Theorem 2.13""; ""6. References""; ""Chapter II. Absolute Continuity and the L[sup(p)] Dirichlet Problem: Part 1""; ""1. Introduction""; ""2. Preliminary Reductions for Theorem 1.10""; ""3. Lemmas on Parabolic Measure""; ""4. Extrapolation""; ""5. References""; ""Chapter III. Absolute Continuity and the L[sup(p)] Dirichlet Problem: Part 2""; ""1. Introduction""
""2. Proof of Theorem 1.7 in a Special Case""""3. Proof of Theorem 1.7""; ""4. Elliptic Results""; ""5. References"" |
| Record Nr. | UNINA-9910820404903321 |
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Hofmann Steve <1958->
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| Providence, Rhode Island : , : American Mathematical Society, , [2001] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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