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, statement, rule and/or succession:
“Eloquence must be grounded on the plainest narrative. Afterwards, it may warm itself until it exhales symbols of every kind and color, speaks only through the most poetic forms; but first and last, it must still be at bottom a biblical statement of fact.”
—Ralph Waldo Emerson (1803–1882)
“The honor my country shall never be stained by an apology from me for the statement of truth and the performance of duty; nor can I give any explanation of my official acts except such as is due to integrity and justice and consistent with the principles on which our institutions have been framed.”
—Andrew Jackson (1767–1845)
“The first rule of education for me was discipline. Discipline is the keynote to learning. Discipline has been the great factor in my life. I discipline myself to do everything—getting up in the morning, walking, dancing, exercise. If you won’t have discipline, you won’t have a nation. We can’t have permissiveness. When someone comes in and says, “Oh, your room is so quiet,” I know I’ve been successful.”
—Rose Hoffman, U.S. public school third-grade teacher. As quoted in Working, book 8, by Studs Terkel (1973)
“There is the illusion of time, which is very deep; who has disposed of it? Mor come to the conviction that what seems the succession of thought is only the distribution of wholes into causal series.”
—Ralph Waldo Emerson (1803–1882)