“The theory of independent experiments is the analytically simplest and most advanced part of probability theory.”

Source: An Introduction To Probability Theory And Its Applications (Third Edition), Chapter V, Conditional Probability, Stochastic Independence, p. 132.

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "The theory of independent experiments is the analytically simplest and most advanced part of probability theory." by William Feller?
William Feller photo
William Feller 30
Croatian-American mathematician 1906–1970

Related quotes

George Klir photo
Mark Kac photo

“Independence is the central concept of probability theory and few would believe today that understanding what it meant was ever a problem.”

Mark Kac (1914–1984) Polish-American mathematician

Source: Enigmas Of Chance (1985), Chapter 3, The Search For The Meaning Of Independence, p. 48.

John F. Kennedy photo

“Freedom is not merely a word or an abstract theory, but the most effective instrument for advancing the welfare of man.”

John F. Kennedy (1917–1963) 35th president of the United States of America

Message to the Inter-American Economic and Social Conference at Punta del Este, Uruguay (5 August 1961) http://www.presidency.ucsb.edu/ws/?pid=8271
1961

Immanuel Kant photo

“Experience without theory is blind, but theory without experience is mere intellectual play.”

Immanuel Kant (1724–1804) German philosopher

This is declared to be "an old Kantian maxim" in General Systems Vol. 7-8 (1962)‎, p. 11, by the Society for the Advancement of General Systems Theory, but may simply be a paraphrase or summation of Kantian ideas.
Kant's treatment of the transcendental logic in the First Critique contains a portion, of which this quote may be an ambiguously worded paraphrase. Kant, claiming that both reason and the senses are essential to the formation of our understanding of the world, writes: "Without sensibility no object would be given to us, and without understanding none would be thought. Thoughts without content are empty, intuitions without concepts are blind (A51/B75)".
Disputed

“Historically, the original purpose of the theory of probability was to describe the exceedingly narrow domain of experience connected with games of chance, and the main effort was directed to the calculation of certain probabilities.”

William Feller (1906–1970) Croatian-American mathematician

Introduction, The Nature of Probability Theory, p. 3.
An Introduction To Probability Theory And Its Applications (Third Edition)

W. Edwards Deming photo

“Experience by itself teaches nothing…Without theory, experience has no meaning. Without theory, one has no questions to ask. Hence without theory there is no learning.”

W. Edwards Deming (1900–1993) American professor, author, and consultant

The New Economics for Industry, Government, Education (1993)

Paul Karl Feyerabend photo
Saul Kripke photo
Marie von Ebner-Eschenbach photo

“Like body and soul theory and practice are one, and like body and soul they are for the most part at loggerheads.”

Marie von Ebner-Eschenbach (1830–1916) Austrian writer

Theorie und Praxis sind Eins wie Seele und Leib, und wie Seele und Leib liegen sie großenteils mit einander in Streit.
Source: Aphorisms (1880/1893), p. 59.

“The painful experience of many gamblers has taught us the lesson that no system of betting is successful in improving the gambler's chances. If the theory of probability is true to life, this experience must correspond to a provable statement.”

William Feller (1906–1970) Croatian-American mathematician

Source: An Introduction To Probability Theory And Its Applications (Third Edition), Chapter VIII, Unlimited Sequences Of Bernoulli Trials, p. 198.

Related topics