Random Processes for Engineers: A Primer
暫譯: 工程師的隨機過程入門
Arthur David Snider
- 出版商: CRC
- 出版日期: 2017-01-19
- 售價: $5,990
- 貴賓價: 9.5 折 $5,691
- 語言: 英文
- 頁數: 207
- 裝訂: Hardcover
- ISBN: 1498799035
- ISBN-13: 9781498799034
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商品描述
This book offers an intuitive approach to random processes and educates the reader on how to interpret and predict their behavior. Premised on the idea that new techniques are best introduced by specific, low-dimensional examples, the mathematical exposition is easier to comprehend and more enjoyable, and it motivates the subsequent generalizations. It distinguishes between the science of extracting statistical information from raw data--e.g., a time series about which nothing is known a priori--and that of analyzing specific statistical models, such as Bernoulli trials, Poisson queues, ARMA, and Markov processes. The former motivates the concepts of statistical spectral analysis (such as the Wiener-Khintchine theory), and the latter applies and interprets them in specific physical contexts. The formidable Kalman filter is introduced in a simple scalar context, where its basic strategy is transparent, and gradually extended to the full-blown iterative matrix form.
商品描述(中文翻譯)
這本書提供了一種直觀的方法來理解隨機過程,並教育讀者如何解釋和預測其行為。基於這樣的理念:新技術最好通過具體的、低維度的例子來介紹,數學的闡述變得更容易理解且更具趣味性,並激發後續的概括。它區分了從原始數據中提取統計信息的科學——例如,對於一個事先不知道的時間序列——以及分析特定統計模型的科學,如伯努利試驗、泊松排隊、ARMA 和馬爾可夫過程。前者激發了統計頻譜分析的概念(如維納-金欽理論),而後者則在特定的物理背景中應用和解釋這些概念。強大的卡爾曼濾波器在一個簡單的標量上下文中被介紹,在這裡其基本策略是透明的,並逐漸擴展到完整的迭代矩陣形式。