PreprintCC BY 4.0arXiv
A general technique for explicit quantile representations
Abstract
This work proves existence of contours independent of probability level for exact quantile integrals of strictly positive real-analytic densities. Explicit constructions cover five broad distribution families and yield a finite-interval representation of Black-Scholes implied volatility using forward functions.
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BibTeX
@misc{schadner2026general,
title = {{A general technique for explicit quantile representations}},
author = {Wolfgang Schadner},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06459},
eprint = {2611.06459},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06459},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A general technique for explicit quantile representations
AU - Wolfgang Schadner
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06459
UR - https://arxiv.org/abs/2611.06459
AB - This work proves existence of contours independent of probability level for exact quantile integrals of strictly positive real-analytic densities. Explicit constructions cover five broad distribution families and yield a finite-interval representation of Black-Scholes implied volatility using forward functions.
ER -