📅 2023-10-19 — Session: Explored Logarithmic and Proportional Transformations
🕒 19:20–20:40
🏷️ Labels: Logarithmic Transformations, Proportional Effect, Economic Systems, Data Analysis, Convolution
📂 Project: Business
⭐ Priority: MEDIUM
Session Goal
The session aimed to explore the mechanisms of proportional effect and logarithmic transformations in statistical distributions, with a focus on their applications in economic and data analysis contexts.
Key Activities
- Reviewed the concept of the ‘proportional effect mechanism’ and its relationship with lognormal and Pareto distributions.
- Discussed the application of logarithmic transformations in data analysis, particularly in handling zero levels and deviations.
- Analyzed the implications of log transformations in a PhD thesis, focusing on statistical properties and data characteristics.
- Explored challenges with logarithmic transformation near critical points and suggested alternative approaches.
- Examined the use of convolution in understanding firm size and value distributions, applying economic principles like Zipf’s and Gibrat’s Laws.
Achievements
- Clarified the role of proportional effect in modeling real-world phenomena.
- Gained insights into the application of logarithmic transformations in various contexts, including economic systems.
Pending Tasks
- Further investigation into alternative transformations for critical points in logarithmic analysis is needed.
- Explore deeper implications of convolution in economic modeling and firm dynamics.