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Coupon collector's problem. In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more ...
For example, when n = 50 it takes about 225 samples to collect all 50 coupons. Although the O-notation is correct as it is, I think it would be better to be consistent with the following article and write n ln n + \gamma n + O(1).
Urn problem. Two urns containing white and red balls. In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to ...
This is vaguely comparable to the coupon collector's problem, where the process involves "collecting" (by sampling with replacement) a set of X coupons until each coupon has been seen at least once. In all surjective cases, the number of sets of choices is zero unless N ≥ X.
1860s. Jacob Young, William Abrams, and Nancy Clem ran what author Wendy Gamber argues, in her book The Notorious Mrs. Clem: Murder and Money in the Gilded Age, was the first-ever Ponzi scheme. [ 1][ 2] In Munich, Germany, Adele Spitzeder founded the "Spitzedersche Privatbank" in 1869, promising an interest rate of 10 percent per month.
In probability theory, the birthday problem asks for the probability that, in a set of n randomly chosen people, at least two will share a birthday. The birthday paradox refers to the counterintuitive fact that only 23 people are needed for that probability to exceed 50%. The birthday paradox is a veridical paradox: it seems wrong at first ...
Is there a name for, or any research on this specific variant of the coupon collector's problem?Specifically, I am looking for a formula that calculates the expected number of batches we need to draw in order to collect all N kinds of coupons, given that in one batch there are k coupons that are not necessarily different (we can for example get a batch of 10 same coupons).
Price discrimination. Price discrimination is a microeconomic pricing strategy where identical or largely similar goods or services are sold at different prices by the same provider in different market segments. [ 1][ 2][ 3] Price discrimination is distinguished from product differentiation by the more substantial difference in production cost ...