@article{10902/35253, year = {2025}, url = {https://hdl.handle.net/10902/35253}, abstract = {I address the decomposition of the differences between the distribution of outcomes of two groups when individuals self-select themselves into participation. I differentiate between the decomposition for participants and the entire population, highlighting how the primitive components of the model affect each of the distributions of outcomes. Additionally, I introduce two ancillary decompositions that help uncover the sources of differences in the distribution of unobservables and participation between the two groups. The estimation is done using existing quantile regression methods, for which I show how to perform uniformly valid inference. I illustrate these methods by revisiting the gender wage gap, finding that changes in female participation and self-selection have been the main drivers for reducing the gap.}, organization = {This work is part of the I + D+i project Ref. TED2021-131763A-I00 financed by MCIN/AEI/10.13039/501100011033 and by the European Union NextGenerationEU/PRTR. I gratefully acknowledge financial support from the Spanish Ministry of Universities and the European Union-NextGenerationEU (RMZ-18).}, publisher = {Taylor & Francis}, publisher = {Journal of Business and Economic Statistics, 2025, 43(2), 378-390}, title = {Decomposition of differences in distribution under sample selection and the gender wage gap}, author = {Pereda Fernández, Santiago}, }