The Online Books Page

Characteristic functions

See also what's at Wikipedia, your library, or elsewhere.

• Probabilities

• Distribution (Probability theory)

• Characteristic formula of an ideal
• Characteristic Hilbert functions
• Functions, Characteristic
• Functions, Hilbert
• Hilbert characteristic functions
• Hilbert functions
• Hilbert's characteristic functions
• Hilbert's functions
• Postulation formula

• Nonparametric Density Evaluation: The L1 View (1985), by Luc Devroye and László Györfi (PDF at devroye.org)

• Gaussian Processes fo Machine Learning (online edition; originally published Cambridge, MA and London: MIT Press, c2006), by Carl Edward Rasmussen and Christopher K. I. Williams (PDF with commentary at gaussianprocess.org)

• Some Properties of the Hypergeometric Distribution With Applications to Zoological Sample Censuses (UC Publications in Statistics, v. 1 #7; Berkeley and Los Angeles: University of California Press, 1951), by D. G. Chapman (page images at HathiTrust)

• Statistical Models and Analysis in Auditing, by National Research Council Panel on Nonstandard Mixtures of Distributions (page images with commentary at NAP)

Items below (if any) are from related and broader terms.

• Introduction to Probability for Data Science (Ann Arbor: Michigan Publishing, 2021), by Stanley H. Chan (PDF files with commentary at probability4datascience.com)
• StatLect: Lectures on Probability Theory and Mathematical Statistics (online edition, c2010), by Marco Taboga (illustrated HTML with commentary at statlect.com)
• Probability and Algorithms (1992), by National Research Council Committee on Applied and Theoretical Statistics (page images with commentary at NAP)
• Probabilistic Machine Learning for Civil Engineers (prepublication version; 2020), by James-A. Goulet (PDF files with commentary at polymtl.ca)
• Actual Causality (Cambridge, MA and London: MIT Press, c2016), by Joseph Y. Halpern (HTML at Cornell)
• Basic Probability Theory (originally published 1970), by Robert B. Ash (PDF files at Wayback Machine)
• Probability and the Logic of Rational Belief (Middletown, CT: Wesleyan University Press, c1961), by Henry Ely Kyburg (page images at HathiTrust)
• On the Principles of Statistical Inference: Four Lectures Delivered at the University of Notre Dame, February 1941 (Notre Dame Mathematical Lectures #1; c1942), by Abraham Wald (PDF files at Project Euclid)
• An Introduction to Information Theory (New York et al.: McGraw-Hill, 1961), by Fazlollah M. Reza (page images at HathiTrust)
• Harmonic Analysis and the Theory of Probability (Berkeley and Los Angeles: University of California Press, 1955), by S. Bochner (page images at HathiTrust)
• Introduction to Probability (electronic edition), by Charles M. Grinstead and J. Laurie Snell (PDF files with commentary at Dartmouth)
• Introduction to Probability, Statistics and Random Processes (electronic edition, with videos and interactive calculators), by Hossein Pishro-Nik (HTML and PDF files with commentary at probabilitycourse.com)
• Probability and Statistics EBook, by SOCR (Project) (illustrated HTML at UCLA)
• Probability and Theory of Errors, by Robert Simpson Woodward (page images at Cornell)
• A Treatise on Probability (London: Macmillan, 1921), by John Maynard Keynes (Gutenberg PDF and LaTeX)
• Development of a Probability Based Load Criterion for American National Standard A58: Building Code Requirements for Minimum Design Loads in Buildings and Other Structures (Washington: US Dept. of Commerce, National Bureau of Standards, 1980), by Bruce R. Ellingwood, T. V. Galambos, James G. MacGregor, and C. Allin Cornell (page images at HathiTrust)
• Alignment Charts; The Teaching of the Calculus of Probability; On the Theory of Complex Functions (Notre Dame Mathematical Lectures #4; 1944), contrib. by Lester R. Ford, A. H. Copeland, and Emil Artin (PDF files at Project Euclid)
• Space, Time, and Life: The Probabilistic Pathways of Evolution (Philadelphia: ISI Press, c1985), by V. V. Nalimov, ed. by Robert Garland Colodny, trans. by A. V. Yarkho (PDF here at Penn)
• Chance and Luck: A Discussion of the Laws of Luck, Coincidences, Wagers, Lotteries, and the Fallacies of Gambling, With Notes on Poker and Martingales (second edition; London: Longmans, Green and Co., 1887), by Richard A. Proctor (page images at Cornell)
• Formal Logic: or, The Calculus of Inference, Necessary and Probable (London: Taylor and Walton, 1847), by Augustus De Morgan (multiple formats at archive.org)
• The Logic of Chance: An Essay on the Foundations and Province of the Theory of Probability, With Especial Reference to its Logical Bearings and its Application to Moral and Social Science (second edition; London: Macmillan and Co., 1876), by John Venn (page images in Germany)
• Tables of Normal Probability Functions (Washington: GPO, 1953), by Mathematical Tables Project (U.S.) (page images at HathiTrust)
• Tables of Probability Functions (2 volumes; Washington: GPO, 1941-1942), by Project for the Computation of Mathematical Tables (U.S.) and Mathematical Tables Project (U.S.) (page images at HathiTrust)
• A Practical Manual on the Monte Carlo Method for Random Walk Problems (Los Alamos, NM: Los Alamos Scientific Laboratory of the University of California, 1957), by E. D. Cashwell and C. J. Everett, contrib. by O. W. Rechard (page images at HathiTrust)
• A Mathematical Theory of Random Migration (London et al.: Cambridge University Press, 1906), by Karl Pearson, contrib. by John Blakeman
  • multiple formats at archive.org
  • page images at HathiTrust; US access only

• Bibliography on the Foundations of Probability Theory (some pages faintly scanned; Detroit: University of Detroit, 1963), by Časlav V. Stanojević and L. Robert Kovac (page images at HathiTrust)
• A Treatise on Probability (London: Macmillan, 1921), by John Maynard Keynes (Gutenberg PDF and LaTeX)

• Introduction to Data Science: Data Analysis and Prediction Algorithms With R (Creative Commons online edition, 2021), by Rafael A. Irizarry (illustrated HTML with commentary at github.uio)

• ESAIM: Probability and Statistics (partial serial archives)
• Electronic Communications in Probability (1996-) (full serial archives)
• Electronic Journal of Probability (1996-) (full serial archives)
• Probability Surveys (2004-) (full serial archives)

• Advanced Problems in Mathematics: Preparing for University (new revised edition; Cambridge, UK: Open Book Publishers, 2019), by S. T. C. Siklos (multiple formats with commentary at Open Book Publishers)

• CK-12 Advanced Probability and Statistics (second edition, c2014), by Raja Almukkahal, Danielle DeLancey, Ellen Lawsky, Brenda Meery, and Larry Ottman (PDF at nclor.org)
• Probability and Statistics (Basic) (Palo Alto, CA: CK-12 Foundation, c2009), ed. by Brenda Meery (multiple formats at archive.org)

• Correlation and Causality (revised electronic edition, 2004), by David A. Kenny (PDF at davidakenny.net)

• Matroid Decomposition (1998), by Klaus Truemper (gzipped Postscript files at emis.de)
• Standardization and Decomposition of Rates: A User's Manual (Current Population Reports Special Studies P23-186; Washington: Bureau of the Census, 1993), by Prithwis Das Gupta
  • PDF with commentary at census.gov
  • page images at HathiTrust
  • multiple formats with Google

• The Encyclopedia of Gambling: The Game, the Odds, the Techniques, the People and Places, the Myths and History (c1977), by Peter Arnold (PDF files at University of Calgary)

• Non-Uniform Random Variate Generation (c1986), by Luc Devroye (PDF files with commentary at devroye.org)

• Engineering Reliability: New Techniques and Applications (New York: J. Wiley and Sons, c1981), by B. S. Dhillon and Chanan Singh (PDF of each chapter at Dr. Singh's website)
• System Reliability Modelling and Evaluation (London: Hutchinson Educational Publishers, c1977), by Chanan Singh and Roy Billinton (PDF of each chapter at Dr. Singh's website)

• Statistical Theory of Signal Detection (New York et al.: Pergamon Press, 1960), by Carl W. Helstrom (page images at HathiTrust)

• Analogies Between Analogies: The Mathematical Reports of S.M. Ulam and His Los Alamos Collaborators (Berkeley: University of California Press, 1990), by Stanislaw M. Ulam, ed. by A. R. Bednarek and Francoise Ulam (HTML at UC Press)
• Introduction to Statistical Signal Processing (electronic revision of "Random Processes"), by Robert M. Gray and Lee D. Davisson (PDF at Stanford)
• Introduction to Probability, Statistics and Random Processes (electronic edition, with videos and interactive calculators), by Hossein Pishro-Nik (HTML and PDF files with commentary at probabilitycourse.com)
• The Unknowable, by Gregory J. Chaitin (illustrated HTML at Maine)

More items available under broader and related terms at left.