……独立搞定；那就是我博士论文的研究内容。在职业生涯中我也一直保持这种方式：比如，在一身为美国国防部服务的软件公司工作时，我发现了某个规格说明书里有问题，就找来 Blackman 和 Tukey 的《The Measurement of Power Spectra》，啃得足够细致，从而看出了规格说明书错在哪儿以及该怎么修。没错：没有课程，没有讲座，没有习题课……就我所知，几乎所有的技术内容……
…independently; and that was the research for my Ph.D. I continued that way in my career: E.g., in a software house working for the US DoD, I saw a problem in a specification, got Blackman and Tukey, 'The Measurement of Power Spectra', and read it carefully enough to see what was wrong with the specification and how to fix it. Right: without courses, lectures, problem sessions, .... As far as I can tell, nearly all the technical content…
……书籍、大学课程和论文。比如有一次，我需要学习估计二阶平稳随机过程的功率谱。于是呢，我找来了 Blackman 和 Tukey 的《The Measurement of Power Spectra》，吃晚饭时一头扎进去啃，几天之内写了些演示代码，展示给我们的目标客户看，然后，瞧，搞定，凭借“单一来源（sole source）”赢下了竞标。所以，我懂一些统计学，而且……
…of books, university courses, and papers. E.g., at one time I needed to learn about estimating the power spectra of second order stationary stochastic processes. Sooo, I found Blackman and Tukey, The Measurement of Power Spectra, at dinners dug in, in a few days wrote some illustrative code, showed the code to our target customer, and, presto, bingo, won the competitive bid with "sole source". So, I know some statistics and…
……《Mathematical Analysis》，还有他在《Real and Complex Analysis》中对傅里叶变换极为严谨的处理，以及《Functional Analysis》里的广义函数。我还读过并用过 Blackman 和 Tukey 的《The Measurement of Power Spectra》，写了些配套软件，让美国海军的一些人挺满意，诸如此类。后来我上了一门难度相当于 Rudin 第二本书的课，课上教授讲到傅里叶变换时……
…Mathematical Analysis and also his very careful treatment of the Fourier transform in his Real and Complex Analysis, also distributions in his Functional Analysis. Also read and used the Blackman and Tukey The Measurement of Power Spectra, wrote some corresponding software that pleased some people in the US Navy, etc. Then I took a course at the level of the second Rudin book, and in the class when the prof got to the Fourier transform…
……该用哪些检验。比如，回归分析中的检验可以是 F 比和/或 t 检验，这里需要核查一些假设，或者至少核查鲁棒性。再比如，在功率谱估计中（参考 Blackman 和 Tukey 的《The Measurement of Power Spectra》），分辨率和稳定性之间存在着极大的 trade-off，这是偏差和方差之间权衡的又一个典型例子。这种考量很难被“自动化”。所以，拿一箱数据来，先对半切开。……
…tests to use. E.g., tests in regression can be F ratios and/or t-tests, and need to check some assumptions or at least robustness here. E.g., in power spectral estimation, see, Blackman and Tukey, 'The Measurement of Power Spectra', there is a severe trade off between resolution and stability, another case of a trade off between bias and variance. Tough to 'automate' that consideration. So, take a box of data. Divide it in half.…
……Olshen, Charles J.\ Stone, {\it Classification and Regression Trees,\/} ISBN 0-534-98054-6, Wadsworth \& Brooks/Cole, Pacific Grove, California, 1984.\ \ R.\ B.\ Blackman and J.\ W.\ Tukey, {\it The Measurement of Power Spectra:\ \ From the Point of View of Communications Engineering,\/} Dover, New York, 1959.\ \ William W.\ Cooley and Paul R.\ Lohnes, {\it Multivariate Data Analysis,\/} John Wiley and Sons, New York, 1971.\……
…Olshen, Charles J.\ Stone, {\it Classification and Regression Trees,\/} ISBN 0-534-98054-6, Wadsworth \& Brooks/Cole, Pacific Grove, California, 1984.\ \ R.\ B.\ Blackman and J.\ W.\ Tukey, {\it The Measurement of Power Spectra:\ \ From the Point of View of Communications Engineering,\/} Dover, New York, 1959.\ \ William W.\ Cooley and Paul R.\ Lohnes, {\it Multivariate Data Analysis,\/} John Wiley and Sons, New York, 1971.\…
……做美国海军声呐信号处理时搞的那些东西。后来在某个阶段，我转向了波形、信号、随机过程样本路径的功率谱分析，就像 Blackman 和 Tukey 的《The Measurement of Power Spectra: From the Point of View of Communications Engineering》里讲的那样。想了解更多相关的波形、信号和随机过程，可以看 Athanasuis Papoulis 的《Probability, Random Variables, and Stochastic……
…stuff when working on US Navy sonar signal processing. Then at one point I moved on to power spectral analysis of wave forms, signals, sample paths of stochastic processes, as in Blackman and Tukey, The Measurement of Power Spectra: From the Point of View of Communications Engineering. Can get more on the relevant wave forms, signals, stochastic processes from Athanasuis Papoulis, Probability, Random Variables, and Stochastic…
……独立搞定；那就是我博士论文的研究内容。在职业生涯中我也一直保持这种方式：比如，在一身为美国国防部服务的软件公司工作时，我发现了某个规格说明书里有问题，就找来 Blackman 和 Tukey 的《The Measurement of Power Spectra》，啃得足够细致，从而看出了规格说明书错在哪儿以及该怎么修。没错：没有课程，没有讲座，没有习题课……就我所知，几乎所有的技术内容……
…independently; and that was the research for my Ph.D. I continued that way in my career: E.g., in a software house working for the US DoD, I saw a problem in a specification, got Blackman and Tukey, 'The Measurement of Power Spectra', and read it carefully enough to see what was wrong with the specification and how to fix it. Right: without courses, lectures, problem sessions, .... As far as I can tell, nearly all the technical content…
……书籍、大学课程和论文。比如有一次，我需要学习估计二阶平稳随机过程的功率谱。于是呢，我找来了 Blackman 和 Tukey 的《The Measurement of Power Spectra》，吃晚饭时一头扎进去啃，几天之内写了些演示代码，展示给我们的目标客户看，然后，瞧，搞定，凭借“单一来源（sole source）”赢下了竞标。所以，我懂一些统计学，而且……
…of books, university courses, and papers. E.g., at one time I needed to learn about estimating the power spectra of second order stationary stochastic processes. Sooo, I found Blackman and Tukey, The Measurement of Power Spectra, at dinners dug in, in a few days wrote some illustrative code, showed the code to our target customer, and, presto, bingo, won the competitive bid with "sole source". So, I know some statistics and…
……《Mathematical Analysis》，还有他在《Real and Complex Analysis》中对傅里叶变换极为严谨的处理，以及《Functional Analysis》里的广义函数。我还读过并用过 Blackman 和 Tukey 的《The Measurement of Power Spectra》，写了些配套软件，让美国海军的一些人挺满意，诸如此类。后来我上了一门难度相当于 Rudin 第二本书的课，课上教授讲到傅里叶变换时……
…Mathematical Analysis and also his very careful treatment of the Fourier transform in his Real and Complex Analysis, also distributions in his Functional Analysis. Also read and used the Blackman and Tukey The Measurement of Power Spectra, wrote some corresponding software that pleased some people in the US Navy, etc. Then I took a course at the level of the second Rudin book, and in the class when the prof got to the Fourier transform…
……该用哪些检验。比如，回归分析中的检验可以是 F 比和/或 t 检验，这里需要核查一些假设，或者至少核查鲁棒性。再比如，在功率谱估计中（参考 Blackman 和 Tukey 的《The Measurement of Power Spectra》），分辨率和稳定性之间存在着极大的 trade-off，这是偏差和方差之间权衡的又一个典型例子。这种考量很难被“自动化”。所以，拿一箱数据来，先对半切开。……
…tests to use. E.g., tests in regression can be F ratios and/or t-tests, and need to check some assumptions or at least robustness here. E.g., in power spectral estimation, see, Blackman and Tukey, 'The Measurement of Power Spectra', there is a severe trade off between resolution and stability, another case of a trade off between bias and variance. Tough to 'automate' that consideration. So, take a box of data. Divide it in half.…
……Olshen, Charles J.\ Stone, {\it Classification and Regression Trees,\/} ISBN 0-534-98054-6, Wadsworth \& Brooks/Cole, Pacific Grove, California, 1984.\ \ R.\ B.\ Blackman and J.\ W.\ Tukey, {\it The Measurement of Power Spectra:\ \ From the Point of View of Communications Engineering,\/} Dover, New York, 1959.\ \ William W.\ Cooley and Paul R.\ Lohnes, {\it Multivariate Data Analysis,\/} John Wiley and Sons, New York, 1971.\……
…Olshen, Charles J.\ Stone, {\it Classification and Regression Trees,\/} ISBN 0-534-98054-6, Wadsworth \& Brooks/Cole, Pacific Grove, California, 1984.\ \ R.\ B.\ Blackman and J.\ W.\ Tukey, {\it The Measurement of Power Spectra:\ \ From the Point of View of Communications Engineering,\/} Dover, New York, 1959.\ \ William W.\ Cooley and Paul R.\ Lohnes, {\it Multivariate Data Analysis,\/} John Wiley and Sons, New York, 1971.\…
……做美国海军声呐信号处理时搞的那些东西。后来在某个阶段，我转向了波形、信号、随机过程样本路径的功率谱分析，就像 Blackman 和 Tukey 的《The Measurement of Power Spectra: From the Point of View of Communications Engineering》里讲的那样。想了解更多相关的波形、信号和随机过程，可以看 Athanasuis Papoulis 的《Probability, Random Variables, and Stochastic……
…stuff when working on US Navy sonar signal processing. Then at one point I moved on to power spectral analysis of wave forms, signals, sample paths of stochastic processes, as in Blackman and Tukey, The Measurement of Power Spectra: From the Point of View of Communications Engineering. Can get more on the relevant wave forms, signals, stochastic processes from Athanasuis Papoulis, Probability, Random Variables, and Stochastic…