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1. Extreme Value Theory : An Introduction
by Laurens Haan, Ana Ferreira
出版情報: New York, NY : Springer Science+Business Media, LLC, 2006
シリーズ名: Springer Series in Operations Research and Financial Engineering ;
オンライン: http://dx.doi.org/10.1007/0-387-34471-3
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2. Measure Theory and Probability Theory
by Krishna B. Athreya, Soumendra N. Lahiri
出版情報: New York, NY : Springer Science+Business Media, LLC, 2006
シリーズ名: Springer Texts in Statistics ;
オンライン: http://dx.doi.org/10.1007/978-0-387-35434-7
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3. Lagrangian Probability Distributions
by Prem C. Consul, Felix Famoye
出版情報: Boston, MA : Birkhäuser Boston, 2006
オンライン: http://dx.doi.org/10.1007/0-8176-4477-6
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4.

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4. Selected Works of R.M. Dudley
edited by Evarist Giné, Vladimir Koltchinskii, Rimas Norvaisa
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: Selected Works in Probability and Statistics ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-5821-1
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5. Laws of Small Numbers: Extremes and Rare Events
by Michael Falk, Jürg Hüsler, Rolf-Dieter Reiss
出版情報: Basel : Springer Basel AG, 2011
オンライン: http://dx.doi.org/10.1007/978-3-0348-0009-9
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6.

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6. Probability Inequalities
by Zhengyan Lin, Zhidong Bai
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
オンライン: http://dx.doi.org/10.1007/978-3-642-05261-3
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7.

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7. An Intermediate Course in Probability
by Allan Gut
出版情報: New York, NY : Springer-Verlag New York, 2009
シリーズ名: Springer Texts in Statistics ;
オンライン: http://dx.doi.org/10.1007/978-1-4419-0162-0
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8.

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8. Self-Normalized Processes : Limit Theory and Statistical Applications
by Victor H. Peña, Tze Leung Lai, Qi-Man Shao ; edited by Joe Gani, C. C. Heyde, P. Jagers, T. G. Kurtz
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
シリーズ名: Probability and its Applications ;
オンライン: http://dx.doi.org/10.1007/978-3-540-85636-8
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9.

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9. Initiation aux Probabilités
by Pierre Brémaud
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
オンライン: http://dx.doi.org/10.1007/978-3-540-68402-2
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10. Regression Analysis Under A Priori Parameter Restrictions
by Pavel S. Knopov, Arnold S. Korkhin
出版情報: New York, NY : Springer Science+Business Media, LLC, 2012
シリーズ名: Springer Optimization and Its Applications ; 54
オンライン: http://dx.doi.org/10.1007/978-1-4614-0574-0
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11.

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11. Probability with Statistical Applications
by Rinaldo B. Schinazi
出版情報: Boston : Springer Science+Business Media, LLC, 2012
オンライン: http://dx.doi.org/10.1007/978-0-8176-8250-7
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12.

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12. Probability Approximations and Beyond
edited by Andrew Barbour, Hock Peng Chan, David Siegmund
出版情報: New York, NY : Springer Science+Business Media, LLC, 2012
シリーズ名: Lecture Notes in Statistics ; 205
オンライン: http://dx.doi.org/10.1007/978-1-4614-1966-2
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13.

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13. Probability: A Graduate Course : A Graduate Course. 2nd ed. 2013
by Allan Gut
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Springer Texts in Statistics ; 75
オンライン: http://dx.doi.org/10.1007/978-1-4614-4708-5
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目次情報: 続きを見る
Preface to the First Edition
Preface to the Second Edition
Outline of Contents
Notation and Symbols
Introductory Measure Theory
Random Variables
Inequalities
Characteristic Functions
Convergence
The Law of Large Numbers
The Central Limit Theorem
The Law of the Iterated Logarithm
Limited Theorems
Martingales
Some Useful Mathematics
References
Index
Preface to the First Edition
Preface to the Second Edition
Outline of Contents
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14. The Methods of Distances in the Theory of Probability and Statistics
by Svetlozar T. Rachev, Lev B. Klebanov, Stoyan V. Stoyanov, Frank Fabozzi
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-4869-3
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Main directions in the theory of probability metrics
Probability distances and probability metrics: Definitions
Primary, simple and compound probability distances, and minimal and maximal distances and norms
A structural classification of probability distances.-Monge-Kantorovich mass transference problem, minimal distances and minimal norms
Quantitative relationships between minimal distances and minimal norms
K-Minimal metrics
Relations between minimal and maximal distances
Moment problems related to the theory of probability metrics: Relations between compound and primary distances
Moment distances
Uniformity in weak and vague convergence
Glivenko-Cantelli theorem and Bernstein-Kantorovich invariance principle
Stability of queueing systems.-Optimal quality usage
Ideal metrics with respect to summation scheme for i.i.d. random variables
Ideal metrics and rate of convergence in the CLT for random motions
Applications of ideal metrics for sums of i.i.d. random variables to the problems of stability and approximation in risk theory
How close are the individual and collective models in risk theory?- Ideal metric with respect to maxima scheme of i.i.d. random elements
Ideal metrics and stability of characterizations of probability distributions
Positive and negative de nite kernels and their properties
Negative definite kernels and metrics: Recovering measures from potential
Statistical estimates obtained by the minimal distances method
Some statistical tests based on N-distances
Distances defined by zonoids
N-distance tests of uniformity on the hypersphere.-
Main directions in the theory of probability metrics
Probability distances and probability metrics: Definitions
Primary, simple and compound probability distances, and minimal and maximal distances and norms
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15. Fractional Fields and Applications
by Serge Cohen, Jacques Istas
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Mathématiques et Applications ; 73
オンライン: http://dx.doi.org/10.1007/978-3-642-36739-7
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目次情報: 続きを見る
Foreword
Contents
Introduction
Preliminaries
Self-similarity
Asymptotic self-similarity
Statistics
Simulations
A Appendix
B Appendix
References
Foreword
Contents
Introduction
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16. Understanding Markov Chains : Examples and Applications
by Nicolas Privault
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2013
シリーズ名: Springer Undergraduate Mathematics Series ;
オンライン: http://dx.doi.org/10.1007/978-981-4451-51-2
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目次情報: 続きを見る
Introduction
1) Probability Background
2) Gambling Problems
3) Random Walks
4) Discrete-Time Markov Chains
5) First Step Analysis
6) Classication of States
7) Long-Run Behavior of Markov Chains
8) Branching Processes
9) Continuous-Time Markov Chains
10) Discrete-Time Martingales
11) Spatial Poisson Processes
12) Reliability Theory
Some Useful Identities
Solutions to the Exercises
References
Index
Introduction
1) Probability Background
2) Gambling Problems
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17. Renewal Processes
by Kosto V. Mitov, Edward Omey
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: SpringerBriefs in Statistics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-05855-9
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Preface
Renewal Processes
Discrete Time Renewal Processes
Extensions and Applications
Appendix: Convolutions and Laplace Transforms
Preface
Renewal Processes
Discrete Time Renewal Processes
18.

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18. Modèles aléatoires : Applications aux sciences de l'ingénieur et du vivant
by Jean-François Delmas, Benjamin Jourdain
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006
シリーズ名: Mathématiques et Applications ; 57
オンライン: http://dx.doi.org/10.1007/978-3-540-33284-8
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19. Heavy-Tail Phenomena : Probabilistic and Statistical Modeling
by Sidney I. Resnick
出版情報: New York, NY : Springer Science+Business Media, LLC, 2007
シリーズ名: Springer Series in Operations Research and Financial Engineering ;
オンライン: http://dx.doi.org/10.1007/978-0-387-45024-7
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20.

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20. Stochastic Simulation
edited by Søren Asmussen, Peter W. Glynn
出版情報: New York : Springer Science+Business Media, LLC, 2007
シリーズ名: Stochastic Modelling and Applied Probability ; 57
オンライン: http://dx.doi.org/10.1007/978-0-387-69033-9
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21. A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713–1935
by Anders Hald ; edited by J. Z. Buchwald, Jesper Lützen, J. Hogendijk
出版情報: New York, NY : Springer Science+Business Media, LLC, 2007
シリーズ名: Sources and Studies in the History of Mathematics and Physical Sciences ;
オンライン: http://dx.doi.org/10.1007/978-0-387-46409-1
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22. Statistical Analysis of Extreme Values : with Applications to Insurance, Finance, Hydrology and Other Fields. Third Edition
by Rolf-Dieter Reiss, Michael Thomas
出版情報: Basel : Birkhäuser Verlag AG, 2007
オンライン: http://dx.doi.org/10.1007/978-3-7643-7399-3
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23. Design and Analysis of Simulation Experiments
by Jack P.C. Kleijnen
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2008
シリーズ名: International Series in Operations Research & Management Science ; 111
オンライン: http://dx.doi.org/10.1007/978-0-387-71813-2
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24. Stochastic Control of Hereditary Systems and Applications
edited by Mou-Hsiung Chang
出版情報: New York, NY : Springer Science+Business Media, LLC, 2008
シリーズ名: Stochastic Modelling and Applied Probability ; 59
オンライン: http://dx.doi.org/10.1007/978-0-387-75816-9
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25. Concentration Inequalities and Model Selection : Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003
by Pascal Massart ; edited by Jean Picard
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1896
オンライン: http://dx.doi.org/10.1007/978-3-540-48503-2
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26. Parameter Estimation in Stochastic Differential Equations
by Jaya P. N. Bishwal
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1923
オンライン: http://dx.doi.org/10.1007/978-3-540-74448-1
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27. Stochastic Geometry, Spatial Statistics and Random Fields : Asymptotic Methods
edited by Evgeny Spodarev
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2068
オンライン: http://dx.doi.org/10.1007/978-3-642-33305-7
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目次情報: 続きを見る
1 Foundations of stochastic geometry and theory of random sets
2 Introduction into integral geometry and stereology
3 Spatial point patterns – models and statistics
4 Asymptotic methods in statistics of random point processes
5 Random tessellations and Cox processes
6 Asymptotic methods for random tessellations
7 Random polytopes
8 Limit theorems in discrete stochastic geometry
9 Introduction to random fields
10 Central limit theorems for weakly dependent random fields
11 Strong limit theorems for increments of random fields
12 Geometry of large random trees: SPDE approximation
1 Foundations of stochastic geometry and theory of random sets
2 Introduction into integral geometry and stereology
3 Spatial point patterns – models and statistics
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28. Decision Systems and Nonstochastic Randomness. 1
by V. I. Ivanenko
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
オンライン: http://dx.doi.org/10.1007/978-1-4419-5548-7
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29. Recent Developments in Applied Probability and Statistics : Dedicated to the Memory of Jürgen Lehn
edited by Luc Devroye, Bülent Karasözen, Michael Kohler, Ralf Korn
出版情報: Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
オンライン: http://dx.doi.org/10.1007/978-3-7908-2598-5
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30. Probability Theory : A Comprehensive Course
by Achim Klenke
出版情報: London : Springer-Verlag London Limited, 2008
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-1-84800-048-3
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