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:
“Eroticism has its own moral justification because it says that pleasure is enough for me; it is a statement of the individual’s sovereignty.”
—Mario Vargas Llosa (b. 1936)
“I think, therefore I am is the statement of an intellectual who underrates toothaches.”
—Milan Kundera (b. 1929)
“One is apt to be discouraged by the frequency with which Mr. Hardy has persuaded himself that a macabre subject is a poem in itself; that, if there be enough of death and the tomb in one’s theme, it needs no translation into art, the bold statement of it being sufficient.”
—Rebecca West (1892–1983)
“Men conceive themselves as morally superior to those with whom they differ in opinion. A Socialist who thinks that the opinions of Mr. Gladstone on Socialism are unsound and his own sound, is within his rights; but a Socialist who thinks that his opinions are virtuous and Mr. Gladstone’s vicious, violates the first rule of morals and manners in a Democratic country; namely, that you must not treat your political opponent as a moral delinquent.”
—George Bernard Shaw (1856–1950)
“Life is measured by the rapidity of change, the succession of influences that modify the being.”
—George Eliot [Mary Ann (or Marian)