Statistics Questions for Hedge Fund Quant Interviews
A hedge fund quant round does not test statistics the way a textbook does. This set is the overlap - the statistics questions that actually turn up in this format.
58 questions, all free to practise. The split is 13 easy, 41 medium, 4 hard.
- A two-sigma tail probabilityEasyRandom VariablesStatisticsView →
- Chi-square test for a varianceEasyStatisticsView →
- Covariance of a chi-square and a ratioEasyRandom VariablesStatisticsView →
- How many new hires to lift the averageEasyStatisticsView →
- Interquartile range of an exponentialEasyRandom VariablesStatisticsView →
- Matching a uniform and an exponentialEasyRandom VariablesStatisticsView →
- Paid a dollar or the drawEasyExpected ValueStatisticsView →
- Pooling two independent estimatesEasyRandom VariablesStatisticsView →
- Posterior from a likelihood ratioEasyConditional Probability & ExpectationStatisticsView →
- R-squared from the sums of squaresEasyStatisticsView →
- Skewness of a Laplace variableEasyRandom VariablesStatisticsView →
- Standard deviation of a correlated sumEasyRandom VariablesStatisticsView →
- Sum of the OLS coefficientsEasyStatisticsView →
- A difference of three normalsMediumRandom VariablesStatisticsView →
- Average salary, kept privateMediumBrainteasersStatisticsView →
- Back out the market premium, then price a stockMediumStatisticsFinance & DerivativesView →
- Backing out a correlationMediumRandom VariablesStatisticsView →
- Bayes: did it rain?MediumConditional Probability & ExpectationStatisticsView →
- Confidence interval with the right pivotMediumStatisticsView →
- Correlation of two face-countsMediumProbabilityStatisticsView →
- Covariance from a triangular densityMediumRandom VariablesStatisticsView →
- Disease test (Bayes)MediumConditional Probability & ExpectationStatisticsView →
- Diversified VaR of two positionsMediumStatisticsFinance & DerivativesView →
- E[X | X > 0] for a standard normalMediumStatisticsCalculusView →
- Fourth moment of a shifted normalMediumProbabilityRandom VariablesView →
- Gap between two uniformsMediumExpected ValueStatisticsView →
- Law of total varianceMediumConditional Probability & ExpectationExpected ValueView →
- Markov with a floorMediumStatisticsView →
- Maximum variance on an intervalMediumRandom VariablesStatisticsView →
- Minimum-variance portfolio weightMediumStatisticsFinance & DerivativesView →
- Minimum-variance weightsMediumStatisticsFinance & DerivativesView →
- OLS slope from four pointsMediumStatisticsView →
- Positive semidefinitenessMediumStatisticsLinear AlgebraView →
- Reading an R²MediumStatisticsView →
- Screening a rare diseaseMediumConditional Probability & ExpectationStatisticsView →
- Sizing an index-futures hedge in contractsMediumStatisticsFinance & DerivativesView →
- Spectrum of a symmetric matrixMediumStatisticsLinear AlgebraView →
- Sum and difference of perfectly correlated variablesMediumRandom VariablesStatisticsView →
- Sum of squared standard normalsMediumRandom VariablesStatisticsView →
- Swapping the regression variablesMediumStatisticsView →
- The German tank problemMediumExpected ValueStatisticsView →
- The probability integral transformMediumRandom VariablesStatisticsView →
- Uncorrelated but dependentMediumRandom VariablesStatisticsView →
- Variance explained by a regressionMediumStatisticsLinear AlgebraView →
- Variance of a squared normalMediumRandom VariablesStatisticsView →
- Variance of a two-regime returnMediumRandom VariablesStatisticsView →
- Variance of the larger of two diceMediumRandom VariablesStatisticsView →
- Variance-minimizing hedgeMediumProbabilityStatisticsView →
- What 'unbiased' meansMediumStatisticsView →
- What a p-value isMediumStatisticsView →
- Which desk books the larger dayMediumRandom VariablesStatisticsView →
- Which machine made the defect?MediumConditional Probability & ExpectationStatisticsView →
- Why covariance matrices are PSDMediumStatisticsLinear AlgebraView →
- Why divide by n−1?MediumStatisticsView →
- Covariance of X with Y squaredHardRandom VariablesStatisticsView →
- Median of a streamHardStatisticsProgramming & DSAView →
- Order statistics are BetaHardRandom VariablesStatisticsView →
- Variance under random parametersHardRandom VariablesStatisticsView →
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