Probability Models, Volume 51 in the Handbook of Statistics series, highlights new advances in the field, with this new volume presenting interesting chapters on Stein’s methods, Probabilities and thermodynamics third law, Random Matrix Theory, General tools for understanding fluctuations of random variables, An approximation scheme to compute the Fisher-Rao distance between multivariate normal distributions, Probability Models Applied to Reliability and Availability Engineering, Backward stochastic differential equation- Stochastic optimization theory and viscous solution of HJB equation, and much more.Additional chapters cover Probability Models in Machine Learning, The recursive stochastic algorithm, randomized urn models and response-adaptive randomization in clinical trials, Random matrix theory: local laws and applications, KOO methods and their high-dimensional consistencies in some multivariate models, Fourteen Lectures on Inference for Stochastic Processes, and A multivariate cumulative damage model and some applications. Provides the latest information on probability modelsOffers outstanding and original reviews on a range of probability models research topicsServes as an indispensable reference for researchers and students alike INDICE: PrefaceArni S.R. Srinivasa Rao, Zhidong Bai and C.R. Rao1. Stein's methodsQi-Man Shao and Zhuosong Zhang2. Probabilities and thermodynamics third lawAngelo Plastino3. Random Matrix TheoryJeff Yao4. General tools for understanding fluctuations of random variablesSourav Chatterjee5. An approximation scheme to compute the Fisher-Rao distance between multivariate normal distributionsFrank Nielsen6. Chapter title to be confirmedQihua Wang7. Probability Models Applied to Reliability and Availability EngineeringKishor Trivedi, Kishor Trivedi and Liudong Xing8. Backward stochastic differential equation- Stochastic optimization theory and viscous solution of HJB equationShige Peng9. Probability Models in Machine LearningQi Meng10. Chapter title to be confirmedGrzegorz A. Rempala11. The recursive stochastic algorithm, randomized urn models and response-adaptive randomization in clinical trialsLixin Zhang12. Random matrix theory: local laws and applicationsFan Yang, Yukun He and Zhigang Bao13. KOO methods and their high-dimensional consistencies in some multivariate modelsY. Fujikoshi14. Fourteen Lectures on Inference for Stochastic ProcessesB.L.S. PRAKASA RAO15. A multivariate cumulative damage model and some applicationsRaul Fierro
- ISBN: 978-0-443-29328-3
- Editorial: Academic Press
- Encuadernacion: Cartoné
- Páginas: 420
- Fecha Publicación: 01/09/2024
- Nº Volúmenes: 1
- Idioma: Inglés