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Advanced mathematics for engineers with applications in stochastic processes [[electronic resource] /] / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Advanced mathematics for engineers with applications in stochastic processes [[electronic resource] /] / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Autore Haghighi Aliakbar Montazer
Edizione [Rev. ed.]
Pubbl/distr/stampa New York, : Nova Science Publishers, Inc., 2011, c2010
Descrizione fisica 1 online resource (568 p.)
Disciplina 510
Altri autori (Persone) LianJian-ao
MishevD. P (Dimiter P.)
Collana Mathematics research developments
Soggetto topico Functions of several complex variables
Stochastic analysis
Soggetto genere / forma Electronic books.
ISBN 1-62417-681-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910453211603321
Haghighi Aliakbar Montazer  
New York, : Nova Science Publishers, Inc., 2011, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced mathematics for engineers with applications in stochastic processes [[electronic resource] /] / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Advanced mathematics for engineers with applications in stochastic processes [[electronic resource] /] / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Autore Haghighi Aliakbar Montazer
Edizione [Rev. ed.]
Pubbl/distr/stampa New York, : Nova Science Publishers, Inc., 2011, c2010
Descrizione fisica 1 online resource (568 p.)
Disciplina 510
Altri autori (Persone) LianJian-ao
MishevD. P (Dimiter P.)
Collana Mathematics research developments
Soggetto topico Functions of several complex variables
Stochastic analysis
ISBN 1-62417-681-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910779785203321
Haghighi Aliakbar Montazer  
New York, : Nova Science Publishers, Inc., 2011, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Advanced mathematics for engineers with applications in stochastic processes / / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Advanced mathematics for engineers with applications in stochastic processes / / Aliakbar Montazer Haghighi, Jian-ao Lian, and Dimitar P. Mishev
Autore Haghighi Aliakbar Montazer
Edizione [Rev. ed.]
Pubbl/distr/stampa New York, : Nova Science Publishers, Inc., 2011, c2010
Descrizione fisica 1 online resource (568 p.)
Disciplina 510
Altri autori (Persone) LianJian-ao
MishevD. P (Dimiter P.)
Collana Mathematics research developments
Soggetto topico Functions of several complex variables
Stochastic analysis
ISBN 1-62417-681-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- ADVANCED MATHEMATICSFOR ENGINEERS WITH APPLICATIONSIN STOCHASTIC PROCESSES -- ADVANCED MATHEMATICSFOR ENGINEERS WITH APPLICATIONSIN STOCHASTIC PROCESSES -- LIBRARY OF CONGRESS CATALOGING-IN-PUBLICATION DATA -- CONTENTS -- PREFACE -- Chapter 1: INTRODUCTION -- 1.1. FUNCTIONS OF SEVERAL VARIABLES -- Definition 1.1.1. -- Example 1.1.1. -- Definition 1.1.2. -- Definition 1.1.3. -- Definition 1.1.4. -- Definition 1.1.5. -- Example 1.1.2. -- Definition 1.1.6. -- Definition 1.1.7. -- 1.2. PARTIAL DERIVATIVES, GRADIENT, AND DIVERGENCE -- Definition 1.2.1. -- Theorem 1.2.1 (Clairaut's1 Theorem or Schwarz's2 Theorem) -- Example 1.2.1. -- Definition 1.2.2. -- Example 1.2.3. -- Definition 1.2.3. -- Definition 1.2.4. -- Definition 1.2.5. -- Example 1.2.4. -- Definition 1.2.6. -- Definition 1.2.7. -- Example 1.2.5. -- Definition 1.2.8. -- Theorem 1.2.2. -- Example 1.2.6. -- 1.3. FUNCTIONS OF A COMPLEX VARIABLE -- Definition 1.3.1. -- 1.4. POWER SERIES AND THEIR CONVERGENT BEHAVIOR -- Definition 1.4.1. -- Definition 1.4.2. -- 1.5. REAL-VALUED TAYLOR SERIES AND MACLAURIN SERIES -- Definition 1.5.1. -- Definition 1.5.2. -- 1.6. POWER SERIES REPRESENTATION OF ANALYTIC FUNCTIONS -- 1.6.1. Derivative and Analytic Functions -- Definition 1.6.1. -- Definition 1.6.2 -- Theorem 1.6.1 (Cauchy-Riemann10 Equations and Analytic Functions) -- 1.6.2. Line Integral in the Complex Plane -- Definition 1.6.3. -- Definition 1.6.4. -- Definition 1.6.5. -- Theorem 1.6.2. -- 1.6.3. Cauchy's Integral Theorem for Simply Connected Domains -- Theorem 1.6.3 (Cauchy's Integral Theorem) -- 1.6.4. Cauchy's Integral Theorem for Multiple Connected Domains -- Theorem 1.6.4. (Cauchy's Integral Theorem for Multiple ConnectedDomains) -- 1.6.5. Cauchy's Integral Formula -- Theorem 1.6.5. (Cauchy's Integral Formula) -- 1.6.6. Cauchy's Integral Formula for Derivatives.
Theorem 1.6.6. (Cauchy's Integral Formula for Derivatives) -- 1.6.7. Taylor and Maclaurin Series of Complex-Valued Functions -- Definition 1.6.6. -- Definition 1.6.7. -- Theorem 1.6.7. (Taylor Theorem) -- Definition 1.6.8. -- 1.6.8. Taylor Polynomials and their Applications -- Definition 1.6.9. -- EXERCISES -- 1.1. Functions of Several Variables -- 1.2. Partial Derivatives, Gradient, and Divergence -- 1.3. Functions of a Complex Variable -- 1.4. Power Series and their Convergent Behavior -- 1.5. Real-Valued Taylor Series and Maclaurin Series -- 1.6. Power Series Representation of Analytic Functions -- Chapter 2: FOURIER AND WAVELET ANALYSIS -- 2.1. VECTOR SPACES AND ORTHOGONALITY -- Definition 2.1.1. -- Definition 2.1.2. -- Definition 2.1.3. -- Definition 2.1.4. -- Definition 2.1.5. -- Definition 2.1.6. -- Definition 2.1.7. -- Definition 2.1.8. -- Definition 2.1.9. -- Definition 2.1.10. -- Definition 2.1.11. -- 2.2. FOURIER SERIES AND ITS CONVERGENT BEHAVIOR -- Definition 2.2.1. -- Definition 2.2.2. -- Definition 2.2.3. -- Theorem 2.2.1. (Uniform Convergence) -- Theorem 2.2.2. (Fourier Series of Piecewise Smooth Functions) -- 2.3. FOURIER COSINE AND SINE SERIESAND HALF-RANGE EXPANSIONS -- Definition 2.3.1. -- Definition 2.3.2. -- 2.4. FOURIER SERIES AND PDES -- Definition 2.4.1. -- 2.5. FOURIER TRANSFORM AND INVERSE FOURIER TRANSFORM -- Definition 2.5.1. -- Definition 2.5.2. -- 2.6. PROPERTIES OF FOURIER TRANSFORMAND CONVOLUTION THEOREM -- Definition 2.6.1. -- 2.7. DISCRETE FOURIER TRANSFORMAND FAST FOURIER TRANSFORM -- Definition 2.7.1. -- Definition 2.7.2. -- Definition 2.7.3. -- Definition 2.7.4. -- 2.8. CLASSICAL HAAR SCALING FUNCTION AND HAAR WAVELETS -- Definition 2.8.1. -- 2.9. DAUBECHIES7 ORTHONORMALSCALING FUNCTIONS ANDWAVELETS -- Definition 2.9.1. -- Definition 2.9.2. -- 2.10.MULTIRESOLUTION ANALYSIS IN GENERAL -- Definition 2.10.1.
2.11.WAVELET TRANSFORM AND INVERSE WAVELET TRANSFORM -- Definition 2.11.1. -- Definition 2.11.2. -- 2.12. OTHER WAVELETS -- 2.12.1. Compactly Supported Spline Wavelets -- Definition 2.12.1. -- Definition 2.12.2. -- 2.12.2. Morlet Wavelets -- 2.12.3. Gaussian Wavelets -- 2.12.4. Biorthogonal Wavelets -- 2.12.5. CDF 5/3 Wavelets -- 2.12.6. CDF 9/7 Wavelets -- EXERCISES -- 2.1. Vector Spaces and Orthogonality -- 2.2. Fourier Series and its Convergent Behavior -- 2.3. Fourier Cosine and Sine Series and Half-Range Expansions -- 2.4. Fourier Series and PDEs -- 2.5. Fourier Transform and Inverse Fourier Transform -- 2.6. Properties of Fourier Transform and Convolution Theorem -- 2.8. Classical Haar Scaling Function and Haar Wavelets -- 2.9. Daubechies Orthonormal Scaling Functions and Wavelets -- 2.12. Other Wavelets -- Chapter 3: LAPLACE TRANSFORM -- 3.1. DEFINITIONS OF LAPLACE TRANSFORM ANDINVERSE LAPLACE TRANSFORM -- Definition 3.1.1. -- Theorem 3.1.1. (Existence of Laplace Transform) -- 3.2. FIRST SHIFTING THEOREM -- Theorem 3.2.1. (First Shifting or s-Shifting Theorem) -- 3.3. LAPLACE TRANSFORM OF DERIVATIVES -- Theorem 3.3.1. (Laplace Transform of First Order Derivative) . -- Theorem 3.3.2. (Laplace Transform of High Order Derivatives) -- 3.4. SOLVING INITIAL-VALUE PROBLEMS BY LAPLACE TRANSFORM -- 3.5. HEAVISIDE FUNCTION AND SECOND SHIFTING THEOREM -- Definition 3.5.1. -- Theorem 3.5.1. (The Second Shifting or t-Shifting Theorem) -- 3.6. SOLVING INITIAL-VALUE PROBLEMSWITH DISCONTINUOUS INPUTS -- 3.7. SHORT IMPULSE AND DIRAC'S DELTA FUNCTIONS -- 3.8. SOLVING INITIAL-VALUE PROBLEMSWITH IMPULSE INPUTS -- 3.9. APPLICATION OF LAPLACE TRANSFORMTO ELECTRIC CIRCUITS -- 3.10. TABLE OF LAPLACE TRANSFORMS -- EXERCISES -- 3.1. Definitions of Laplace Transform and Inverse Laplace Transform -- 3.2. First Shifting Theorem -- 3.3. Laplace Transform of Derivatives.
3.4. Solving Initial-Value Problems by Laplace Transform -- 3.5. Heaviside Function and Second Shifting Theorem -- 3.6. Solving Initial-Value Problems with Discontinuous Inputs -- 3.8. Solving Initial-Value Problems with Impulse Inputs -- 3.9. Application of Laplace Transform to Electric Circuits -- Chapter 4: PROBABILITY -- 4.1. INTRODUCTION -- Definition 4.1.1. -- Definition 4.1.2. -- Definition 4.1.3. -- Definition 4.1.4. -- Definition 4.1.5. -- Definition 4.1.6. -- Definition 4.1.7. -- Definition 4.1.8. -- Definition 4.1.9. -- 4.2. COUNTING TECHNIQUES -- Definition 4.2.1. -- Rule 4.2.1. The Fundamental Principle of Counting -- Definition 4.2.2. -- Theorem 4.2.1. -- Definition 4.2.3. -- Definition 4.2.4. -- Theorem 4.2.3. -- 4.3. TREE DIAGRAMS -- 4.4. CONDITIONAL PROBABILITY AND INDEPENDENCE -- Definition 4.4.1. -- Definition 4.4.2. -- Theorem 4.4.1. -- Definition 4.4.3. -- 4.5. THE LAW OF TOTAL PROBABILITY -- Theorem 4.5.1. (The Multiplicative Law) -- Theorem 4.5.2. (The Multiplicative Law)Let 1 -- Theorem 4.5.3. (The Law of Total Probability) -- Theorem 4.5.4. (Bayes' Formula) -- 4.6. DISCRETE RANDOM VARIABLES -- Definition 4.6.1. -- Definition 4.6.2. -- Definition 4.6.3. -- 4.7. DISCRETE PROBABILITY DISTRIBUTIONS -- Definition 4.7.1. -- Definition 4.7.2. -- Definition 4.7.3. -- Definition 4.7.4. -- Definition 4.7.5. -- Definition 4.7.6. -- Definition 4.7.7. -- Definition 4.7.8. -- Definition 4.7.9. -- Theorem 4.7.2. -- 4.8. RANDOM VECTORS -- Definition 4.8.1. -- Definition 4.8.2. -- Definition 4.8.3. -- Theorem 4.8.1. Multinomial Theorem -- Definition 4.8.4. -- 4.9. CONDITIONAL DISTRIBUTION AND INDEPENDENCE -- Theorem 4.9.1. (The Law of Total Probability) -- Definition 4.9.1. -- Definition 4.9.2. -- Definition 4.9.3. -- Theorem 4.9.2. -- Theorem 4.9.3 -- Theorem 4.9.4. -- 4.10. DISCRETE MOMENTS -- Definition 4.10.1. -- Definition 4.10.2.
Theorem 4.10.1. -- Theorem 4.10.2. -- Theorem 4.10.3. -- Definition 4.10.3. -- Definition 4.10.4. -- Definition 4.10.5. -- Theorem 4.10.4. -- Definition 4.10.6. -- Theorem 4.10.5. -- Definition 4.10.7. -- Theorem 4.10.6. -- Theorem 4.10.7. -- Theorem 4.10.8. -- Theorem 4.10.9. -- Theorem 4.10.10. -- Theorem 4.10.11. -- Definition 4.10.8. -- Definition 4.10.8. -- 4.11. CONTINUOUS RANDOM VARIABLES AND DISTRIBUTIONS -- Definition 4.11.1. -- Definition 4.11.2. -- Definition 4.11.3. -- Definition 4.11.4. -- Definition 4.11.5. -- Definition 4.11.6. -- Definition 4.11.7 -- Definition 4.11.8 -- Definition 4.11.9. -- Definition 4.11.10 -- Definition 4.11.11. -- Definition 4.11.12. -- Definition 4.11.13. -- Definition 4.11.14 -- Definition 4.11.15. -- Definition 4.11.16 -- Remark 4.11.1. -- 4.12. CONTINUOUS RANDOM VECTOR -- Definition 4.12.1. -- Definition 4.12.2 -- 4.13. FUNCTIONS OF A RANDOM VARIABLE -- Definition 4.13.1. -- Definition 4.13.2. -- Theorem 4.13.1. -- Definition 4.13.3. -- Theorem 4.13.2. -- Definition 4.13.4. -- Theorem 4.13.3. Central Limit Theorem -- EXERCISES -- 4.1. Introduction -- 4.2. Counting Techniques -- 4.3. Tree Diagrams -- 4.4. Conditional Probability and Independence -- 4.5. The Law of Total Probability -- 4.6. Discrete Random Variables -- 4.7. Discrete Probability Distributions -- 4.8. Random Vectors -- 4.9. Conditional Distribution and Independence -- 4.10. Discrete Moments -- 4.11. Continuous Random Variables and Distributions -- 4.12. Continuous Random Vector -- 4.13. Functions of a Random Variable -- Chapter 5: STATISTICS -- PART ONE: DESCRIPTIVE STATISTICS -- 5.1. BASIC STATISTICAL CONCEPTS -- Definition 5.1.1. -- Definition 5.1.2. -- 5.1.1. Measures of Central Tendency -- Definition 5.1.3. -- Definition 5.1.4. -- Definition 5.1.5. -- Definition 5.1.6. -- 5.1.2. Organization of Data -- Definition 5.1.7. -- Definition 5.1.8.
Definition 5.1.9.
Record Nr. UNINA-9910960571603321
Haghighi Aliakbar Montazer  
New York, : Nova Science Publishers, Inc., 2011, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Analyse complexe : cours de D.E.A de R. Gay (1977-1978) / R. Gay ; rédigé par A. Méril
Analyse complexe : cours de D.E.A de R. Gay (1977-1978) / R. Gay ; rédigé par A. Méril
Autore Gay, Roger
Pubbl/distr/stampa Bordeaux : : U.E.R de Mathématiques et d'Informatique, Université de Bordeaux I, 1980
Descrizione fisica 263 p. ; 25 cm
Disciplina 515.9
Altri autori (Persone) Meril, Alex
Soggetto topico Functions of several complex variables
Mathematical analysis
Classificazione AMS 32-XX
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione fre
Record Nr. UNISALENTO-991003437909707536
Gay, Roger  
Bordeaux : : U.E.R de Mathématiques et d'Informatique, Université de Bordeaux I, 1980
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Analysis and geometry in several complex variables : workshop on analysis and geometry in several complex variables, January 4-8, 2015, Texas A&M University at Qatar, Doha, Qatar / / Shiferaw Berhanu, Nordine Mir, Emil J. Straube, editors
Analysis and geometry in several complex variables : workshop on analysis and geometry in several complex variables, January 4-8, 2015, Texas A&M University at Qatar, Doha, Qatar / / Shiferaw Berhanu, Nordine Mir, Emil J. Straube, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2017
Descrizione fisica 1 online resource (194 pages) : illustrations
Disciplina 515.94
Collana Contemporary Mathematics
Soggetto topico Functions of several complex variables
Soggetto genere / forma Electronic books.
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910480280903321
Providence, Rhode Island : , : American Mathematical Society, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Analysis and geometry in several complex variables : workshop on analysis and geometry in several complex variables, January 4-8, 2015, Texas A&M University at Qatar, Doha, Qatar / / Shiferaw Berhanu, Nordine Mir, Emil J. Straube, editors
Analysis and geometry in several complex variables : workshop on analysis and geometry in several complex variables, January 4-8, 2015, Texas A&M University at Qatar, Doha, Qatar / / Shiferaw Berhanu, Nordine Mir, Emil J. Straube, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2017
Descrizione fisica 1 online resource (194 pages) : illustrations
Disciplina 515.94
Collana Contemporary mathematics
Soggetto topico Functions of several complex variables
Classificazione 32H0232H4032T2532U0532V2032V4032W0532W10
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910796025703321
Providence, Rhode Island : , : American Mathematical Society, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Analysis and geometry in several complex variables : workshop on analysis and geometry in several complex variables, January 4-8, 2015, Texas A&M University at Qatar, Doha, Qatar / / Shiferaw Berhanu, Nordine Mir, Emil J. Straube, editors
Analysis and geometry in several complex variables : workshop on analysis and geometry in several complex variables, January 4-8, 2015, Texas A&M University at Qatar, Doha, Qatar / / Shiferaw Berhanu, Nordine Mir, Emil J. Straube, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2017
Descrizione fisica 1 online resource (194 pages) : illustrations
Disciplina 515.94
Collana Contemporary mathematics
Soggetto topico Functions of several complex variables
Classificazione 32H0232H4032T2532U0532V2032V4032W0532W10
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910827870603321
Providence, Rhode Island : , : American Mathematical Society, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Analytic functions of several complex variables / Robert C. Gunning and Hugo Rossi
Analytic functions of several complex variables / Robert C. Gunning and Hugo Rossi
Autore Gunning, Robert Clifford
Pubbl/distr/stampa Englewood Cliffs, N. J. : Prentice-Hall, c1965
Descrizione fisica xii, 317 p. : ill. ; 24 cm.
Disciplina 515.94
Altri autori (Persone) Rossi, Hugoauthor
Collana Prentice-Hall series in modern analysis
Soggetto topico Functional analysis
Functions of several complex variables
Holomorphic convexity
Classificazione AMS 32A
AMS 32E
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000682589707536
Gunning, Robert Clifford  
Englewood Cliffs, N. J. : Prentice-Hall, c1965
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Analytische Stellenalgebren / H. Grauert, R. Remmert ; unter mitarbeit von O. Riemenschneider
Analytische Stellenalgebren / H. Grauert, R. Remmert ; unter mitarbeit von O. Riemenschneider
Autore Grauert, Hans
Pubbl/distr/stampa Berlin : Springer-Verlag, 1971
Descrizione fisica ix, 240 p. ; 24 cm.
Disciplina 515.94
Altri autori (Persone) Remmert, Reinhold
Collana Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics, 0072-7830 ; 176
Soggetto topico Commutative rings
Functions of several complex variables
Power series
ISBN 354005121X
Classificazione AMS 32A05
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ger
Record Nr. UNISALENTO-991000685179707536
Grauert, Hans  
Berlin : Springer-Verlag, 1971
Materiale a stampa
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Analyzing the large numbers of variables in biomedical and satellite imagery [[electronic resource] /] / Phillip I. Good
Analyzing the large numbers of variables in biomedical and satellite imagery [[electronic resource] /] / Phillip I. Good
Autore Good Phillip I
Pubbl/distr/stampa Hoboken, N.J., : Wiley, c2011
Descrizione fisica xii, 185 p. : ill
Disciplina 006.3/12
Soggetto topico Data mining
Mathematical statistics
Biomedical engineering - Data processing
Remote sensing - Data processing
Functions of several complex variables
R (Computer program language)
ISBN 1-283-13877-8
0-470-93725-4
9786613138774
0-470-93727-0
1-118-00214-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ; Machine generated contents note: ; 1. Very Large Arrays -- ; 1.1. Applications -- ; 1.2. Problems -- ; 1.3. Solutions -- ; 2. Permutation Tests -- ; 2.1. Two-Sample Comparison -- ; 2.1.1. Blocks -- ; 2.2. k-Sample Comparison -- ; 2.3. Computing The p-Value -- ; 2.3.1. Monte Carlo Method -- ; 2.3.2. An R Program -- ; 2.4. Multiple-Variable Comparisons -- ; 2.4.1. Euclidean Distance Matrix Analysis -- ; 2.4.2. Hotelling's T2 -- ; 2.4.3. Mantel's U -- ; 2.4.4. Combining Univariate Tests -- ; 2.4.5. Gene Set Enrichment Analysis -- ; 2.5. Categorical Data -- ; 2.6. Software -- ; 2.7. Summary -- ; 3. Applying the Permutation Test -- ; 3.1. Which Variables Should Be Included? -- ; 3.2. Single-Value Test Statistics -- ; 3.2.1. Categorical Data -- ; 3.2.2. A Multivariate Comparison Based on a Summary Statistic -- ; 3.2.3. A Multivariate Comparison Based on Variants of Hotelling's T2
; 3.2.4. Adjusting for Covariates -- ; 3.2.5. Pre-Post Comparisons -- ; 3.2.6. Choosing a Statistic: Time-Course Microarrays -- ; 3.3. Recommended Approaches -- ; 3.4. To Learn More -- ; 4. Biological Background -- ; 4.1. Medical Imaging -- ; 4.1.1. Ultrasound -- ; 4.1.2. EEG/MEG -- ; 4.1.3. Magnetic Resonance Imaging -- ; 4.1.3.1. MRI -- ; 4.1.3.2. fMRI -- ; 4.1.4. Positron Emission Tomography -- ; 4.2. Microarrays -- ; 4.3. To Learn More -- ; 5. Multiple Tests -- ; 5.1. Reducing the Number of Hypotheses to Be Tested -- ; 5.1.1. Normalization -- ; 5.1.2. Selection Methods -- ; 5.1.2.1. Univariate Statistics -- ; 5.1.2.2. Which Statistic? -- ; 5.1.2.3. Heuristic Methods -- ; 5.1.2.4. Which Method? -- ; 5.2. Controlling the Over All Error Rate -- ; 5.2.1. An Example: Analyzing Data from Microarrays -- ; 5.3. Controlling the False Discovery Rate -- ; 5.3.1. An Example: Analyzing Time-Course Data from Microarrays -- ; 5.4. Gene Set Enrichment Analysis
; 5.5. Software for Performing Multiple Simultaneous Tests -- ; 5.5.1. AFNI -- ; 5.5.2. Cyber-T -- ; 5.5.3. dChip -- ; 5.5.4. ExactFDR -- ; 5.5.5. GESS -- ; 5.5.6. HaploView -- ; 5.5.7. MatLab -- ; 5.5.8. R -- ; 5.5.9. SAM -- ; 5.5.10. ParaSam -- ; 5.6. Summary -- ; 5.7. To Learn More -- ; 6. The Bootstrap -- ; 6.1. Samples and Populations -- ; 6.2. Precision of an Estimate -- ; 6.2.1. R Code -- ; 6.2.2. Applying the Bootstrap -- ; 6.2.3. Bootstrap Reproducibility Index -- ; 6.2.4. Estimation in Regression Models -- ; 6.3. Confidence Intervals -- ; 6.3.1. Testing for Equivalence -- ; 6.3.2. Parametric Bootstrap -- ; 6.3.3. Blocked Bootstrap -- ; 6.3.4. Balanced Bootstrap -- ; 6.3.5. Adjusted Bootstrap -- ; 6.3.6. Which Test? -- ; 6.4. Determining Sample Size -- ; 6.4.1. Establish a Threshold -- ; 6.5. Validation -- ; 6.5.1. Cluster Analysis -- ; 6.5.2. Correspondence Analysis -- ; 6.6. Building a Model -- ; 6.7. How Large Should The Samples Be?
; 6.8. Summary -- ; 6.9. To Learn More -- ; 7. Classification Methods -- ; 7.1. Nearest Neighbor Methods -- ; 7.2. Discriminant Analysis -- ; 7.3. Logistic Regression -- ; 7.4. Principal Components -- ; 7.5. Naive Bayes Classifier -- ; 7.6. Heuristic Methods -- ; 7.7. Decision Trees -- ; 7.7.1. A Worked-Through Example -- ; 7.8. Which Algorithm Is Best for Your Application? -- ; 7.8.1. Some Further Comparisons -- ; 7.8.2. Validation Versus Cross-validation -- ; 7.9. Improving Diagnostic Effectiveness -- ; 7.9.1. Boosting -- ; 7.9.2. Ensemble Methods -- ; 7.9.3. Random Forests -- ; 7.10. Software for Decision Trees -- ; 7.11. Summary -- ; 8. Applying Decision Trees -- ; 8.1. Photographs -- ; 8.2. Ultrasound -- ; 8.3. MRI Images -- ; 8.4. EEGs and EMGs -- ; 8.5. Misclassification Costs -- ; 8.6. Receiver Operating Characteristic -- ; 8.7. When the Categories Are As Yet Undefined -- ; 8.7.1. Unsupervised Principal Components Applied to fMRI
; 8.7.2. Supervised Principal Components Applied to Microarrays -- ; 8.8. Ensemble Methods -- ; 8.9. Maximally Diversified Multiple Trees -- ; 8.10. Putting It All Together -- ; 8.11. Summary -- ; 8.12. To Learn More -- Glossary of Biomedical Terminology -- Glossary of Statistical Terminology -- Appendix: An R Primer -- ; R1. Getting Started -- ; R1.1. R Functions -- ; R1.2. Vector Arithmetic -- ; R2. Store and Retrieve Data -- ; R2.1. Storing and Retrieving Files from Within R -- ; R2.2. The Tabular Format -- ; R2.3. Comma Separated Format -- ; R3. Resampling -- ; R3.1. The While Command -- ; R4. Expanding R's Capabilities -- ; R4.1. Downloading Libraries of R Functions -- ; R4.2. Programming Your Own Functions.
Record Nr. UNINA-9910208830603321
Good Phillip I  
Hoboken, N.J., : Wiley, c2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
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