Probability Models: Volume 51
暫譯: 機率模型:第51卷

Srinivasa Rao, Arni S. R., Bai, Zhidong, Rao, C. R.

  • 出版商: Academic Press
  • 出版日期: 2024-09-27
  • 售價: $8,890
  • 貴賓價: 9.5$8,446
  • 語言: 英文
  • 頁數: 520
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0443293287
  • ISBN-13: 9780443293283
  • 海外代購書籍(需單獨結帳)

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商品描述

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.

商品描述(中文翻譯)

《統計手冊》系列中的《機率模型,第51卷》突顯了該領域的新進展,這一新卷呈現了有趣的章節,包括斯坦方法(Stein's methods)、機率與熱力學第三定律、隨機矩陣理論(Random Matrix Theory)、理解隨機變數波動的一般工具、計算多變量常態分佈之費雪-拉奧距離(Fisher-Rao distance)的近似方案、應用於可靠性與可用性工程的機率模型、反向隨機微分方程(Backward stochastic differential equation)- 隨機優化理論及HJB方程的粘性解(viscous solution),以及更多內容。

其他章節涵蓋了機器學習中的機率模型、遞歸隨機演算法(recursive stochastic algorithm)、隨機化罐模型(randomized urn models)及臨床試驗中的反應自適應隨機化(response-adaptive randomization)、隨機矩陣理論:局部法則及其應用、KOO方法及其在某些多變量模型中的高維一致性、隨機過程推斷的十四堂課(Fourteen Lectures on Inference for Stochastic Processes)、以及多變量累積損傷模型及其一些應用。