Statement of The Rule of Succession
If we repeat an experiment that we know can result in a success or failure, n times independently, and get s successes, then what is the probability that the next repetition will again be a success?
More abstractly: If X1, ..., Xn+1 are conditionally independent random variables that each can assume the value 0 or 1, then, if we know nothing more about them,
Read more about this topic: Rule Of Succession
Famous quotes containing the words statement of the, statement of, statement, rule and/or succession:
“It is commonplace that a problem stated is well on its way to solution, for statement of the nature of a problem signifies that the underlying quality is being transformed into determinate distinctions of terms and relations or has become an object of articulate thought.”
—John Dewey (1859–1952)
“Truth is used to vitalize a statement rather than devitalize it. Truth implies more than a simple statement of fact. “I don’t have any whisky,” may be a fact but it is not a truth.”
—William Burroughs (b. 1914)
“No statement about God is simply, literally true. God is far more than can be measured, described, defined in ordinary language, or pinned down to any particular happening.”
—David Jenkins (b. 1925)
“The rule is perfect: in all matters of opinion our adversaries are insane.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“Man approaches the unattainable truth through a succession of errors.”
—Aldous Huxley (1894–1963)