@article {2023arXiv230305717Z, title = {The effective volume of supernovae samples and sample variance}, journal = {arXiv e-prints}, year = {2023}, month = {mar}, pages = {arXiv:2303.05717}, keywords = {Astrophysics - Cosmology and Nongalactic Astrophysics}, doi = {10.48550/arXiv.2303.05717}, author = {Zhai, Zhongxu and Percival, Will J.} }