--- id: 2026-01-09T14:45:00-0500 title: 2026-01-09 14:45:?? tags: - topic/estimating daily: "[[2026-01-09]]" --- # 2026-01-09 14:45:?? [[bid-price-modeling]] Suppose a true cost model, accounting for all relevant information available at time $t$. $C(t)$ returns a distribution whose [scale](https://en.wikipedia.org/wiki/Scale_parameter) decreases with $t$, and $C(0)$ maps to a single value. $t>0$ is time until the final payment. > ![250](https://upload.wikimedia.org/wikipedia/commons/thumb/8/89/Log-normal-pdfs.png/960px-Log-normal-pdfs.png) > > Figure: lognormal distributions with the same [location](https://en.wikipedia.org/wiki/Location_parameter) > varied by [scale](https://en.wikipedia.org/wiki/Scale_parameter).