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Discuss logistic regression limitations for PD

Last updated: Mar 29, 2026

Quick Overview

This question evaluates understanding of logistic regression assumptions and limitations for Probability of Default modeling — covering linearity in the log-odds, predictor interactions, multicollinearity, class imbalance and rare events, probability calibration, and the interpretability versus flexibility trade-off within the Machine Learning and credit risk modeling domain. It is commonly asked to assess a candidate's ability to recognize theoretical constraints and practical implications when choosing and validating risk models, testing both conceptual statistical understanding and practical application in real-world, imbalanced-data and regulatory contexts.

  • medium
  • Citibank
  • Machine Learning
  • Data Scientist

Discuss logistic regression limitations for PD

Company: Citibank

Role: Data Scientist

Category: Machine Learning

Difficulty: medium

Interview Round: Technical Screen

What are the limitations of logistic regression for PD modeling? Consider assumptions (linearity in the log‑odds), interactions, multicollinearity, class imbalance, probability calibration, and interpretability versus flexibility.

Quick Answer: This question evaluates understanding of logistic regression assumptions and limitations for Probability of Default modeling — covering linearity in the log-odds, predictor interactions, multicollinearity, class imbalance and rare events, probability calibration, and the interpretability versus flexibility trade-off within the Machine Learning and credit risk modeling domain. It is commonly asked to assess a candidate's ability to recognize theoretical constraints and practical implications when choosing and validating risk models, testing both conceptual statistical understanding and practical application in real-world, imbalanced-data and regulatory contexts.

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Citibank logo
Citibank
Jul 26, 2025, 12:00 AM
Data Scientist
Technical Screen
Machine Learning
1
0

Limitations of Logistic Regression for PD (Probability of Default) Modeling

Context

You are building a credit risk Probability of Default (PD) model with logistic regression. Discuss its limitations and trade-offs.

Prompt

Explain the limitations of logistic regression for PD modeling, focusing on:

  1. Assumption of linearity in the log-odds
  2. Interactions between predictors
  3. Multicollinearity among predictors
  4. Class imbalance and rare events
  5. Probability calibration
  6. Interpretability versus flexibility

Where relevant, note common mitigations used in practice.

Solution

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