Yanqin Fan, Yigit Okar, Xuetao Shi
arXiv 2 Dec 2024 · Econometrics
arXiv:2412.01030 · PDF · DOI · OpenAlex · Extracted main text
This article introduces an iterative distributed computing estimator for the multinomial logistic regression model with large choice sets. Compared to the maximum likelihood estimator, the proposed iterative distributed estimator achieves significantly faster computation and, when initialized with a consistent estimator, attains asymptotic efficiency under a weak dominance condition. Additionally, we propose a parametric bootstrap inference procedure based on the iterative distributed estimator and establish its consistency. Extensive simulation studies validate the effectiveness of the proposed methods and highlight the computational efficiency of the iterative distributed estimator.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Taddy, M (2015) Distributed multinomial regression | 0.874 | 13 | 2 | 100% |
| 2 | Pastorello, S., V. Patilea, and E. Renault (2003) Iterative and recursive estimation in structural nonadaptive models | 0.843 | 5 | 3 | 60% |
| 3 | Baker, S. G (1994) The multinomial-Poisson transformation | 0.737 | 3 | 2 | 100% |
| 4 | Böhning, D. and B. G. Lindsay (1988) Monotonicity of quadratic-approximation algorithms | 0.737 | 3 | 2 | 100% |
| 5 | Böhning, D (1992) Multinomial logistic regression algorithm | 0.737 | 3 | 2 | 100% |
| 6 | Simon, N., J. Friedman, and T. Hastie (2013) A blockwise descent algorithm for group-penalized multiresponse and multinomial regression | 0.737 | 3 | 2 | 100% |
| 7 | Gentzkow, M., J. M. Shapiro, and M. Taddy (2019) Measuring group differences in high-dimensional choices: method and application to congressional speech | 0.511 | 2 | 1 | 100% |
| 8 | Taddy, M (2013) Multinomial inverse regression for text analysis | 0.511 | 2 | 1 | 100% |
| 9 | Kelly, B. T., A. Manela, and A. Moreira (2019) Text selection, Working Paper 26517, National Bureau of Economic Research | 0.405 | 1 | 1 | 100% |
| 10 | Aguirregabiria, V. and P. Mira (2002) Swapping the nested fixed point algorithm: A class of estimators for discrete Markov decision models | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 32 scored citations.