Method of Moments Estimator for Uniform Distribution - Quant Trader Interview Question
Difficulty: Medium
Category: Statistics & Regression
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Topics: statistics, estimation, method-of-moments, uniform-distribution
Problem Description
Suppose you are analyzing a trading algorithm that generates random trade sizes, $X$, from a Uniform distribution between 0 and an unknown parameter $\theta$. That is, $X \sim \text{Uniform}(0, \theta)$.
Given a sample of trade sizes, derive the method of moments estimator for $\theta$.
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