Bound a Missing Pairwise Correlation

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Quick Overview

Determine the feasible correlation between two variables that each correlate 0.8 with a third. Use positive-semidefinite constraints, explicit constructions, and partial-correlation reasoning.

Bound a Missing Pairwise Correlation

Company: Virtu Financial

Role: Quantitative Researcher

Category: Statistics & Math

Difficulty: hard

Interview Round: Onsite

Overview: Determine the feasible correlation between two variables that each correlate 0.8 with a third. Use positive-semidefinite constraints, explicit constructions, and partial-correlation reasoning.

Read the full Virtu Financial Quantitative Researcher interview experience this question came from

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Virtu Financial
Aug 21, 2026
hardQuantitative ResearcherOnsiteStatistics & Math
2
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