Intermediate Probability Theory for Biomedical Engineers pdf epub mobi txt 电子书下载 2026

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出版者:Morgan & Claypool

作者:Krause, Daniel J.

出品人:

页数:106

译者:

出版时间:

价格:$ 45.20

装帧:Pap

isbn号码:9781598291407

丛书系列:

图书标签:

概率论
生物医学工程
统计学
随机过程
生物统计
信号处理
医学图像
机器学习
模型构建
推断统计

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具体描述

This is the second in a series of three short books on probability theory and random processes for biomedical engineers. This volume focuses on expectation, standard deviation, moments, and the characteristic function. In addition, conditional expectation, conditional moments and the conditional characteristic function are also discussed. Jointly distributed random variables are described, along with joint expectation, joint moments, and the joint characteristic function. Convolution is also developed. A considerable effort has been made to develop the theory in a logical mannerdeveloping special mathematical skills as needed. The mathematical background required of the reader is basic knowledge of differential calculus. Every effort has been made to be consistent with commonly used notation and terminologyboth within the engineering community as well as the probability and statistics literature. The aim is to prepare students for the application of this theory to a wide variety of problems, as well give practicing engineers and researchers a tool to pursue these topics at a more advanced level. Pertinent biomedical engineering examples are used throughout the text.

这本书旨在为读者提供一个全面且系统的学习平台，涵盖了从基础概念到高级应用的多层次内容。其核心目标是帮助读者深入理解概率理论在生物医学工程领域中的实际意义和运用。内容以严谨的逻辑结构展开，每一章节都经过精心设计，确保知识点的清晰传达与深度探讨。在理论部分，作者系统梳理了概率分布、随机变量以及统计推断等经典主题，详细讲解其在工程实践中的应用场景。通过对已有研究成果的分析，读者能够更好地理解当前领域的发展趋势及未来可能的方向。此外，本书还特别注重将数学理论与实际工程问题相结合。在每一章节中，作者会提供大量真实案例和实验数据，使得学习过程更加生动具体。例如，在讨论随机化设计时，通过详细解析实验设计、样本选择及结果分析，帮助读者掌握如何在复杂生物工程环境下应用概率理论。同时，内容还强调了跨学科的思维模式，鼓励读者从多个角度思考问题，提升解决实际问题的能力。书中不仅包含理论知识，还融入了大量图表和示例，便于读者直观理解抽象概念。通过详细的操作步骤和清晰的注释，读者能够更自主地进行学习，并在实践中灵活运用所学内容。特别适合希望深入挖掘生物医学工程中概率问题本质、拓展理论边界的研究人员与工程师。这种结构安排使得每一章都能切实解决实际问题，避免了简单重复的内容输出，而是通过有条理的递进和深度剖析，让读者真正掌握知识。在学习过程中，读者不仅能够系统地积累概率理论，也能在具体工程情境中灵活应用，从而提升整体专业水平。这本书无疑是一套完整、实用且富有指导意义的资源，适合不同层次的学习者进行深入探索。