William Feller Short Quotes

14 Sourced Quotes

View all William Feller Quotes
Infinite product spaces are the natural habitat of probability theory.

William Feller
All possible "definitions" of probability fall short of the actual practice.

William Feller
Three repairman per twenty machines are much more economical than one repairman per six machines.

William Feller
When a coin is tossed, it does not necessarily fall heads or tails; it can roll away or stand on its edge.

William Feller
The theory of independent experiments is the analytically simplest and most advanced part of probability theory.

William Feller
In stochastic processes the future is not uniquely determined, but we have at least probability relations enabling us to make predictions.

William Feller
Much harm was done by the misleading suggestive power of this name. It must be understood that a fair game may be distinctly unfavorable to the player.

William Feller
When this book was first conceived (more than 25 years ago) few mathematicians outside the Soviet Union recognized probability as a legitimate branch of mathematics.

William Feller
The manner in which mathematical theories are applied does not depend on preconceived ideas; it is a purposeful technique depending on, and changing with, experience.

William Feller
Note the situation is different when the player is permitted to vary his stakes. In this case there exist advantageous strategies, and the game depends on the strategy.

William Feller
The notion of conditional probability is a basic tool of probability theory, and it is unfortunate that its great simplicity is somewhat obscured by a singularly clumsy terminology.

William Feller
The philosophy of the foundations of probability must be divorced from mathematics and statistics, exactly as the discussion of our intuitive space concept is now divorced from geometry.

William Feller
To every event defined for the original random walk there corresponds an event of equal probability in the dual random walk, and in this way almost every probability relation has its dual.

William Feller
Only yesterday the practical things of today were decried as impractical, and the theories which will be practical tomorrow will always be branded as valueless games by the practical man of today.

William Feller