theorem 2.10 Weighted mean
open in the book ·
parts/01-foundations/02-measurement-si-error.tex:211
· p. 14
Rests on
-
depends_on
theorem 2.7
The mean improves as $1/\sqrt{N}$
¶
- depends_on definition 2.6 Sample mean and variance ¶
- proves proof ch:02-measurement-si-error@proof-2 ¶
- proves proof ch:02-measurement-si-error@proof-5 ¶
Supports
- depends_on corollary 11.84 Residuals about a weighted mean; the Birge ratio ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | The mean improves as $1/\sqrt{N}$ | declared | parts/01-foundations/02-measurement-si-error.tex:218 |
depends_on |
← | Residuals about a weighted mean; the Birge ratio | declared | parts/02-mathematical-methods/09-probability-statistics.tex:2607 |
proves |
← | ch:02-measurement-si-error@proof-5 | declared | parts/01-foundations/02-measurement-si-error.tex:221 |