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convex optimization 1distribution estimation 1failure rate constraints 1noisy quantile data 1reliability 1

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stat.AP2026

Estimating Distributions with Failure Rate Properties from Noisy Quantile Data

Timothy C. Y. Chan, Ningyuan Chen, Craig Fernandes +1

The paper develops a method to estimate an unknown cumulative distribution function under increasing failure‑rate shape constraints using noisy quantile observations, providing a t…