My requests and open questions on probability

[peteroupc]

The following lists requests and open questions on some of the articles in this site. Can you help answer any of these? Answers to them will greatly improve my articles on this repository.

• Requests and open questions.
• Open questions on the Bernoulli factory problem.
• Other open questions on probability.

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The following are links to my questions on MathOverflow and other Stack Exchange sites.

• Polynomials that converge to a Bernoulli factory function
• https://mathoverflow.net/questions/409174/concave-functions-series-representation-and-converging-polynomials
• Holtz method for polynomials that converge to a Bernoulli factory function
• Relatively simple simulations that succeed with an irrational probability
• Probabilities arising from permutations
• Estimating f(E(X)) with a guaranteed error performance
• From coin flips to algebraic functions via pushdown automata
• Probability distributions computable by pushdown automata
• From biased coins, and nothing else, to biased coins
• From biased coins to biased coins, as efficiently as possible
• Checking if a shape covers a box
• A generalized randomized mean estimate based on the Chebyshev inequality
• https://mathoverflow.net/questions/427595/a-conjecture-on-consistent-monotone-sequences-of-polynomials-in-bernstein-form
• https://mathoverflow.net/questions/429037/bounds-on-the-expectation-of-a-function-of-a-hypergeometric-random-variable