Quant Interview Questions from D.E. Shaw, IMC and Others
Quantitative interviews at top firms like D.E. Shaw, IMC, and Quantedge are renowned for their rigor and depth. Candidates are expected not only to solve challenging mathematical and statistical questions but also to explain the underlying concepts clearly. This article explores some representative quant interview questions from these firms, providing detailed explanations, step-by-step solutions, and highlighting the key concepts involved.
This is a classic probability question that tests your understanding of multivariate normal distributions, order statistics, and the effects of correlation. Given two correlated Gaussian random variables, the task is to determine the probability distribution of their maximum.
Let \( X \) and \( Y \) be two jointly normal random variables with means \( \mu_X, \mu_Y \), variances \( \sigma_X^2, \sigma_Y^2 \), and correlation coefficient \( \rho \). What is the distribution of \( M = \max(X, Y) \)?
