📄️ Understanding Location Quotients and Their Distortions
Explore the intricacies of location quotients, their transformation from raw data, and the impact of size distortions on their interpretation.
📄️ Introduction to Location Quotients
Explore the concept of location quotients in economic studies, their challenges, and potential solutions to size distortions.
📄️ Literature Review on Location Quotient Transformations
An in-depth review of the literature on Location Quotient transformations, discussing their applications, limitations, and alternatives in various contexts.
📄️ Data Analysis
An overview of datasets used for analyzing export values, patents, and business units across various regions and industries.
📄️ A Convenient Framework for Working with Location Quotient Values
Explore a framework for analyzing location quotient values, including empirical examples and a 2D space representation.
📄️ Empirical Distributions
Explore the impact of empirical distributions on row and column sums, with a focus on logarithmic transformations and their implications.
📄️ The Probabilistic Location Quotient
Explore the concept of probabilistic location quotient (pLQ), its definition, and its implications in determining economic states over time.
📄️ Probability Analysis of Location Quotients
An in-depth examination of location quotient probabilities, focusing on the conditional probabilities and log-level analysis.
📄️ Estimation of pLQ
Detailed exploration of estimating probabilistic location quotients (pLQ) using k-nearest neighbor algorithm.
📄️ Characterization of pLQ
Explore the main characteristics of pLQ, focusing on transition zones and size effects in trade and patent data.
📄️ Dynamics and Markov Analysis
Analyzing the persistence of pLQ levels using Markovian transitions to understand their stability and volatility.
📄️ pLQ as Continuous Generalization of LQ > 1
Explore the continuous generalization of the binary LQ > 1 variable using pLQ, enhancing the analysis of bipartite networks.
📄️ pLQ as Predictor for Diversification
Explore how pLQ integrates into predicting diversification using fixed effects regression, comparing binary LQ and pLQ.
📄️ Estimates of pLQ by Integrating Growth Distributions
Explore the formal model for estimating pLQ and understand the propagation of volatility in log(scp) to log(LQ).
📄️ Observations in the LQ Problem
Explore the two-dimensional distribution of growth rates in the LQ problem and the implications for volatility and growth probabilities.
📄️ Explaining pLQ by Growth Distributions
Analyzing the probability of surpassing the LQ = 1 threshold using growth distributions and numerical integration.
📄️ Conclusion on Location Quotients
A detailed analysis of location quotients, addressing size distortions and proposing a formal framework for measurement and comparison.
📄️ Appendix: pLQ Regressor
Learn how to compute pLQ probabilities using a custom regressor in Python, with detailed code examples.