Sign-In
Cart
Nonlinear Expectations and Stochastic Calculus Under Uncertainty: With Robust Clt and G-Brownian Motion
Paperback
Series: Probability Theory and Stochastic Modelling, Book 95
General MathematicsProbability & Statistics
ISBN13: 9783662599051
Publisher: Springer Nature
Published: Sep 19 2020
Pages: 212
Weight: 0.72
Height: 0.48 Width: 6.14 Depth: 9.21
Language: English
This book is focused on the recent developments on problems of probability model uncertainty by using the notion of nonlinear expectations and, in particular, sublinear expectations. It provides a gentle coverage of the theory of nonlinear expectations and related stochastic analysis. Many notions and results, for example, G-normal distribution, G-Brownian motion, G-Martingale representation theorem, and related stochastic calculus are first introduced or obtained by the author.
With exercises to practice at the end of each chapter, this book can be used as a graduate textbook for students in probability theory and mathematical finance. Each chapter also concludes with a section Notes and Comments, which gives history and further references on the material covered in that chapter.
Researchers and graduate students interested in probability theory and mathematical finance will find this book very useful.
1 different editions
Also available
Nonlinear Expectations and Stochastic Calculus Under Uncertainty: With Robust Clt and G-Brownian Motion
Peng, Shige
Hardcover
Also in
Probability & Statistics
R for Data Science: Import, Tidy, Transform, Visualize, and Model Data
Wickham, Hadley
Grolemund, Garrett
Paperback
AP Statistics Premium, 2027: 9 Practice Tests + Comprehensive Review + Online Practice
Sternstein, Martin, PH. D.
Paperback
R for Data Science: Import, Tidy, Transform, Visualize, and Model Data
Grolemund, Garrett
Cetinkaya-Rundel, Mine
Wickham, Hadley
Paperback
Graph Paper Composition Notebook: Quad Ruled 5x5, Grid Paper for Students in Math and Science
Wizo, Math
Paperback
Stat 208 Statistical Thinking: A Book for Stat 208 at Virginia Commonwealth University
Street IV, W. Scott
Durfee, Becky
Paperback
Forecasting: Principles and Practice, the Pythonic Way
Hyndman, Rob J.
Athanasopoulos, George
Paperback
The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck
Spiegelhalter, David
Paperback
Introduction to Statistics: An Intuitive Guide for Analyzing Data and Unlocking Discoveries
Frost, Jim
Paperback
Mastering Claude AI: Practical Journey from First Prompts to Pro with Claude AI
Dickey, Ryan
Paperback
How the World Really Works: The Science Behind How We Got Here and Where We're Going
Smil, Vaclav
Paperback
The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck
Spiegelhalter, David
Hardcover
Ai-Assisted Statistics for Data Scientists: 50+ Essential Concepts Using R and Python
Bruce, Andrew
Gedeck, Peter
Bruce, Peter
Paperback
Scale: The Universal Laws of Life, Growth, and Death in Organisms, Cities, and Companies
West, Geoffrey
Paperback
An Introduction to Statistical Learning: With Applications in R
James, Gareth
Witten, Daniela
Hastie, Trevor
Paperback
The Random Universe: How Models and Probability Help Us Make Sense of the Cosmos
Jaffe, Andrew H.
Hardcover
Schaum's Outline of Probability and Statistics, 4th Edition: 897 Solved Problems + 20 Videos
Spiegel, Murray R.
Schiller, John J.
Srinivasan, R. Alu
Paperback
Advanced Statistics in Research: Reading, Understanding, and Writing Up Data Analysis Results
Hatcher, Larry
Paperback
The Only Math Book You'll Ever Need, Revised Edition: Hundreds of Easy Solutions and Shortcuts for Mastering Everyday Numbers
Kogelman, Stanley
Heller, Barbara R.
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Hardcover
Schaum's Outline of Probability, Random Variables, and Random Processes, Fourth Edition
Hsu, Hwei P.
Paperback
Mathletics: How Gamblers, Managers, and Fans Use Mathematics in Sports, Second Edition
Nestler, Scott
Pelechrinis, Konstantinos
Winston, Wayne L.
Paperback
SQL Server 2025 Unveiled: The Ai-Ready Enterprise Database with Microsoft Fabric Integration
Ward, Bob
Paperback
Building Large Language Models from Scratch: Design, Train, and Deploy Llms with Pytorch
Grigorov, Dilyan
Paperback
How the World Really Works: The Science Behind How We Got Here and Where We're Going
Smil, Vaclav
Hardcover
Regression Modeling Strategies: With Applications to Linear Models, Logistic and Ordinal Regression, and Survival Analysis
Harrell Jr, Frank E.
Paperback
Challenging Mathematical Problems with Elementary Solutions, Vol. I: Volume 1
Yaglom, A. M.
Yaglom, I. M.
Paperback
Quantum Computing and Quantum Machine Learning for Engineers and Developers
Van Griensven Thé, Jesse
Rosas-Bustos, Jose
Fraser, Roydon Andrew
Hardcover
Databricks Data Intelligence Platform: Unlocking the Genai Revolution
Yip, Jason
Gupta, Nikhil
Paperback
Making ChatGPT Work for You: Getting the Most Out of Generative AI as a Non-Techie
Evelyn, Lydia
Paperback
The Master Algorithm: How the Quest for the Ultimate Learning Machine Will Remake Our World
Domingos, Pedro
Paperback
Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions
Downey, Allen B.
Paperback
The End of Average: Unlocking Our Potential by Embracing What Makes Us Different
Rose, Todd
Paperback
Probably the Best Book on Statistics Ever Written: How to Beat the Odds and Make Better Decisions
Shapira, Haim
Hardcover
Large Language Models: A Deep Dive: Bridging Theory and Practice
Somers, Garrett
Kamath, Uday
Keenan, Kevin
Hardcover
Scorecasting: The Hidden Influences Behind How Sports Are Played and Games Are Won
Moskowitz, Tobias
Wertheim, L. Jon
Paperback
Guide to Methods for Students of Political Science: Property, Proof, and Dispute in Catalonia Around the Year 1000
Van Evera, Stephen
Paperback
Probably Overthinking It: How to Use Data to Answer Questions, Avoid Statistical Traps, and Make Better Decisions
Downey, Allen B.
Hardcover
Time Series Analysis and Its Applications: With R Examples
Stoffer, David S.
Shumway, Robert H.
Hardcover
An Introduction to Statistical Learning: With Applications in Python
Witten, Daniela
Hastie, Trevor
James, Gareth
Hardcover
Learning Statistics with Jamovi: A Tutorial for Beginners in Statistical Analysis
Navarro, Danielle
Foxcroft, David
Paperback
AI for Robotics: Toward Embodied and General Intelligence in the Physical World
Gopalakrishnan, Keerthana
Imran, Alishba
Paperback
Machine Learning Q and AI: 30 Essential Questions and Answers on Machine Learning and AI
Raschka, Sebastian
Paperback
A Modern Introduction to Probability and Statistics: Understanding Why and How
Lopuhaä, H. P.
Dekking, F. M.
Kraaikamp, C.
Hardcover
The Theory That Would Not Die: How Bayes' Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of C
McGrayne, Sharon Bertsch
Paperback
Observability for Large Language Models: Site Reliability and Chaos Engineering for AI at Scale
Sharma, Ankush
Paperback
Challenging Mathematical Problems with Elementary Solutions, Vol. II: Volume 2
Yaglom, A. M.
Yaglom, I. M.
Paperback
High-Dimensional Probability: An Introduction with Applications in Data Science
Vershynin, Roman
Hardcover
Modern Time Series Forecasting with Python - Second Edition: Industry-ready machine learning and deep learning time series analysis with PyTorch and p
Joseph, Manu
Tackes, Jeffrey
Paperback
Mathematical Foundations of Quantum Computing: A Scaffolding Approach
Cheng, Ran
Lee, Peter
Yu, James
Paperback
The Design Inference: Eliminating Chance through Small Probabilities
Ewert, Winston
Dembski, William A.
Hardcover
The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Second Edition
Tibshirani, Robert
Friedman, Jerome
Hastie, Trevor
Hardcover
Unlocking Dbt: Design and Deploy Transformations in Your Cloud Data Warehouse
Cyr, Cameron
Dorsey, Dustin
Paperback
Building Generative AI Agents: Using Langgraph, Autogen, and Crewai
Taulli, Tom
Deshmukh, Gaurav
Paperback
Prompt Engineering for Everyone: A Self-Taught, Human-Centered Approach to AI Programming
Tavakoli, Hamid
Paperback
Damned Lies and Statistics: Untangling Numbers from the Media, Politicians, and Activists
Best, Joel
Hardcover
ACCUPLACER Math Prep: ACCUPLACER Math Test Study Guide with Two Practice Tests [Includes Detailed Answer Explanations]
Tpb Publishing
Paperback
The ESRI Guide to GIS Analysis, Volume 2: Spatial Measurements and Statistics
Mitchell, Andy
Griffin, Lauren Scott
Paperback
System Design with AI Interview Guide: Designing Scalable, Agentic, and Defensible Systems
Bhardwaj, Rohit
Paperback
An Introduction to Statistical Learning: With Applications in Python
Witten, Daniela
Hastie, Trevor
James, Gareth
Paperback
Large Language Model Recipes: A Hands-On Guide to Fine-Tuning, Optimization, Deployment, and Real-World Applications
Bolla, Bharath Kumar
Subbaiah, Kalpa
Kaata, Sashi Kiran
Paperback
Bayesian Analysis with Python - Third Edition: A practical guide to probabilistic modeling
Martin, Osvaldo
Paperback
R in Action, Third Edition: Data Analysis and Graphics with R and Tidyverse
Kabacoff, Robert I.
Paperback
Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin
Weinstein, Lawrence
Adam, John a.
Paperback
Introduction to Statistics: An Intuitive Guide for Analyzing Data and Unlocking Discoveries
Frost, Jim
Hardcover
Deep Learning in Computational Mechanics: An Introductory Course
Weeger, Oliver
Jokeit, Moritz
Herrmann, Leon
Hardcover
Databricks Data Intelligence Platform: Powering the Agentic Era
Gupta, Nikhil
Wojtyczka, Marcin
Yip, Jason
Paperback
From Data to Dollars: Getting Started with Data Analytics and AI in Startups
Sidoruk, Piotr
Paperback
The Practical Guide to Large Language Models: Hands-On AI Applications with Hugging Face Transformers
Gridin, Ivan
Paperback
Large Language Models: From Theory to Production
Vanegas, Esteban
Noguer I. Alonso, Miquel
Pacheco Aznar, David
Paperback
Practical Generative Ai: From Concept to Deployment: Building and Deploying Ethical AI-Powered Solutions
McKeone, James
Singh, Pramod
Paperback
The Improbability Principle: Why Coincidences, Miracles, and Rare Events Happen Every Day
Hand, David J.
Paperback
Making Statistics Work: Information Theory and Bayesian Inference
Scharfenaker, Ellis
Foley, Duncan
Paperback