6 papers
Using the Blackwell-Cover Guessing Strategy to Separate Unobserved Bernoulli Trials
James Stein
Blackwell and Cover both proposed the same method for guessing the larger of a pair of two numbers when one can only observe one and the other of the two numbers remains unobserved…
Properties of Subsets of Unobserved Items Constructed by Using Blackwell's Bet
James D. Stein
Blackwells Bet (also known as the Cover Guessing Game) is an extremely clever use of a random variable to improve the probability of guessing which of two numbers is larger when yo…
Using the Cover Guessing Game Strategy to Predict the Results of Stochastic Processes
James D. Stein
Cover originally proposed a game in which Bob wrote two numbers on pieces of paper and allowed Alice to pick one and look at it. Cover then showed, as Blackwell is thought to have…
Blackwells Demon: Postdiction and Prediction in Random Walks
James Stein
Maxwells Demon is a mythical being, first described by the physicist James Clerk Maxwell (although named Maxwells Demon by Lord Kelvin). Maxwell used it in a thought experiment to…
Using Random Variables to Predict Experimental Outcomes
James D. Stein
We shall show in this paper that there are experiments which are Bernoulli trials with success probability p > 0.5, and which have the curious feature that it is possible to correc…
A Coin-Tossing Conundrum
James Stein, Leonard M. Wapner
It is shown that an equiprobability hypothesis leads to a scenario in which it is possible to predict the outcome of a single toss of a fair coin with a success probability greater…