Statistical Computing in Nuclear Imaging (Hardcover)
暫譯: 核成像中的統計計算 (精裝版)
Arkadiusz Sitek
- 出版商: CRC
- 出版日期: 2014-12-01
- 售價: $2,970
- 貴賓價: 9.5 折 $2,822
- 語言: 英文
- 頁數: 275
- 裝訂: Hardcover
- ISBN: 143984934X
- ISBN-13: 9781439849347
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相關分類:
機率統計學 Probability-and-statistics、Data Science
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商品描述
Statistical Computing in Nuclear Imaging introduces aspects of Bayesian computing in nuclear imaging. The book provides an introduction to Bayesian statistics and concepts and is highly focused on the computational aspects of Bayesian data analysis of photon-limited data acquired in tomographic measurements.
Basic statistical concepts, elements of decision theory, and counting statistics, including models of photon-limited data and Poisson approximations, are discussed in the first chapters. Monte Carlo methods and Markov chains in posterior analysis are discussed next along with an introduction to nuclear imaging and applications such as PET and SPECT.
The final chapter includes illustrative examples of statistical computing, based on Poisson-multinomial statistics. Examples include calculation of Bayes factors and risks as well as Bayesian decision making and hypothesis testing. Appendices cover probability distributions, elements of set theory, multinomial distribution of single-voxel imaging, and derivations of sampling distribution ratios. C++ code used in the final chapter is also provided.
The text can be used as a textbook that provides an introduction to Bayesian statistics and advanced computing in medical imaging for physicists, mathematicians, engineers, and computer scientists. It is also a valuable resource for a wide spectrum of practitioners of nuclear imaging data analysis, including seasoned scientists and researchers who have not been exposed to Bayesian paradigms.
商品描述(中文翻譯)
《核成像中的統計計算》介紹了貝葉斯計算在核成像中的各個方面。本書提供了貝葉斯統計和概念的介紹,並高度關注於在斷層測量中獲得的光子限制數據的貝葉斯數據分析的計算方面。
在前幾章中,討論了基本的統計概念、決策理論的要素以及計數統計,包括光子限制數據的模型和泊松近似。接下來討論了蒙地卡羅方法和後驗分析中的馬可夫鏈,並介紹了核成像及其應用,如正電子發射斷層掃描(PET)和單光子發射斷層掃描(SPECT)。
最後一章包括基於泊松-多項式統計的統計計算示例。示例包括貝葉斯因子和風險的計算,以及貝葉斯決策和假設檢驗。附錄涵蓋了概率分佈、集合論的要素、單體素成像的多項式分佈以及抽樣分佈比的推導。最後一章中使用的C++代碼也提供了。
本書可作為教科書,為物理學家、數學家、工程師和計算機科學家提供貝葉斯統計和醫學成像中的高級計算的介紹。對於廣泛的核成像數據分析從業者,包括未接觸過貝葉斯範式的資深科學家和研究人員,本書也是一個寶貴的資源。