Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)
暫譯: 隨機過程的模擬與推斷:YUIMA的全面R框架,用於隨機微分方程及其他隨機過程(使用R!)

Stefano M. Iacus

  • 出版商: Springer
  • 出版日期: 2018-06-12
  • 定價: $2,600
  • 售價: 8.0$2,080
  • 語言: 英文
  • 頁數: 284
  • 裝訂: Paperback
  • ISBN: 3319555677
  • ISBN-13: 9783319555676
  • 相關分類: R 語言
  • 立即出貨 (庫存=1)

  • Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-1
  • Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-2
  • Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-3
  • Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-4
  • Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-5
  • Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-6
  • Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-7
  • Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-8
  • Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-9
  • Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-10
Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)-preview-1

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商品描述

The YUIMA package is the first comprehensive R framework based on S4 classes and methods which allows for the simulation of stochastic differential equations driven by Wiener process, Lévy processes or fractional Brownian motion, as well as CARMA, COGARCH, and Point processes. The package performs various central statistical analyses such as quasi maximum likelihood estimation, adaptive Bayes estimation, structural change point analysis, hypotheses testing, asynchronous covariance estimation, lead-lag estimation, LASSO model selection, and so on. YUIMA also supports stochastic numerical analysis by fast computation of the expected value of functionals of stochastic processes through automatic asymptotic expansion by means of the Malliavin calculus. All models can be multidimensional, multiparametric or non parametric.The book explains briefly the underlying theory for simulation and inference of several classes of stochastic processes and then presents both simulation experiments and applications to real data. Although these processes have been originally proposed in physics and more recently in finance, they are becoming popular also in biology due to the fact the time course experimental data are now available. The YUIMA package, available on CRAN, can be freely downloaded and this companion book will make the user able to start his or her analysis from the first page.

 

商品描述(中文翻譯)

YUIMA 套件是第一個基於 S4 類別和方法的全面 R 框架,允許模擬由 Wiener 過程、Lévy 過程或分數布朗運動驅動的隨機微分方程,以及 CARMA、COGARCH 和點過程。該套件執行各種中央統計分析,例如準最大似然估計、適應性貝葉斯估計、結構變化點分析、假設檢驗、非同步協方差估計、領先-滯後估計、LASSO 模型選擇等。YUIMA 還通過利用 Malliavin 演算的自動漸近展開,快速計算隨機過程函數的期望值,支持隨機數值分析。所有模型可以是多維的、多參數的或非參數的。本書簡要解釋了幾類隨機過程的模擬和推斷的基本理論,然後展示模擬實驗和對實際數據的應用。儘管這些過程最初是在物理學中提出的,最近在金融領域也有所應用,但由於現在可以獲得時間序列實驗數據,它們在生物學中也變得越來越受歡迎。YUIMA 套件可在 CRAN 上免費下載,本伴隨書將使用者能夠從第一頁開始進行分析。

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