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Hard · Probability & Statistics · Quant Trader interview question · probability, statistics, fisher-information, exponential-distribution
Consider a scenario where you're modeling the time until the next market event using an exponential distribution. The rate parameter, $λ$ , governs the frequency of these events. You want to estimate $λ$ from a sample of observed event times. For an exponential distribution with rate $λ$ , what is the Fisher information $I(λ)$ ?