Tag: order-statistics
Interview Questions
- k-th largest element in a price stream
- Rolling median across a sliding window
- Roll three times, keep the best, price it
- Winner's curse with bell-curve estimation error
- Roll three dice, keep the highest, fair price?
- Roll two ten-sided dice, keep the higher
- Roll two dice, keep the lower, fair price?
- Roll two dice, keep the higher, fair price?
- Do all the red draws beat all the blue draws?
- Can the three pieces form a triangle?
- Which lightbulb burns out first?
- Expected distance between two random points on a rope
- Expected value of the minimum of dice
- Expected maximum of two four-sided dice
- Expected maximum of uniform random numbers
- Expected spread between the two dice
- Expected value of the maximum of dice
- Where does the k-th smallest uniform land?
- Expected maximum of n exponentials
- Expected range of n uniforms
- Expected winning and second-highest bid in an auction
- Expected maximum of uniform random variables
- The smaller of two dice
- How wide is the spread of random points?
- First and last golden ticket in a row of chocolate bars
- Expected position of the second ace
- Where does the third-smallest random number land?
- Waiting for the slower of two coin-flippers
- Given three buses came, when did the first arrive?
- Break a stick once, longer and shorter piece
- Four pieces, expected shortest and longest
- Pieces by position versus pieces by size
- Expected lengths of stick pieces
- Expected length of the longest and shortest piece
- Do the random points fit in a short window?
- Do all three arrivals fall within a short window?
- Two unbiased estimators, which one is efficient?
- The German tank problem
- MLE of a shifted exponential threshold
- Estimating both ends of a uniform
- The MSE-optimal scaling of the sample max
- The biased MLE of Uniform(0, θ)
- The distribution of the smallest p-value
- The maximum is sufficient for a uniform's endpoint