• Pixel-art Nullwen, the Upper-Limit Herald, on a black mug with the slogan "NOTHING FOUND. 90% CONFIDENT."

IndexCatalogueMug

Nullwen, the Upper-Limit Herald Mug

\[R = \frac{P(n \mid \mu)}{P(n \mid \mu_{\text{best}})}\]
सामान्य कीमत $21.99 USD
सामान्य कीमत सेल कीमत $21.99 USD
सेल बिक चुका
Size

An upper limit is a result: the Feldman–Cousins unified approach gives confidence intervals that move smoothly from upper limits to two-sided intervals.

The joke: The null result can be published precisely because the limit is quantified. The slogan on the mug reads NOTHING FOUND. 90% CONFIDENT.

Source: G. J. Feldman & R. D. Cousins, Phys. Rev. D 57, 3873 (1998).

Shipping calculated at checkout by destinationMade to order, ships in ~10 days

Details

Size & material11oz · 15oz

Black glossy ceramic mug with a C-handle. Lead- and BPA-free.

  • 11oz: 0.33 l
  • 15oz: 0.44 l
CareDishwasher & microwave safe

Dishwasher safe (top rack) or hand wash. Microwave safe.

ShippingBy destination

Shipping calculated at checkout by destination.

Made to order: about 10 days of production and handling before it ships.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

An upper limit is a result: the Feldman–Cousins unified approach gives confidence intervals that move smoothly from upper limits to two-sided intervals.

The joke: The null result can be published precisely because the limit is quantified. The slogan on the mug reads NOTHING FOUND. 90% CONFIDENT.

Source: G. J. Feldman & R. D. Cousins, Phys. Rev. D 57, 3873 (1998).

Equations

\[R = \frac{P(n \mid \mu)}{P(n \mid \mu_{\text{best}})}\]
\[P(n \mid \mu) = \frac{(\mu + b)^{n}\, e^{-(\mu + b)}}{n!}\]
Symbols
SymbolMeaningUnit
\(R\) likelihood-ratio ordering variable —
\(n\) observed number of events —
\(\mu\) signal mean —
\(\mu_{\text{best}}\) physically allowed μ that maximises P(n \(\mathrm{μ)}\)
\(b\) known mean background —