proposition 11.81 Density, mean and variance
open in the book ·
parts/02-mathematical-methods/09-probability-statistics.tex:2483
· p. 384
Rests on
- depends_on definition 11.42 Characteristic function ¶
- depends_on definition 11.80 Chi-squared ¶
-
depends_on
proposition 11.43
Elementary properties
¶
- depends_on definition 11.42 Characteristic function ¶ ↺
- proves proof ch:09-probability-statistics@proof-15 ¶
- proves proof ch:09-probability-statistics@proof-34 ¶
Supports
- depends_on corollary 11.84 Residuals about a weighted mean; the Birge ratio ¶
-
depends_on
example 33.15
The six values are mutually inconsistent, and by how
much
¶
- depends_on phenomenon 33.16 The least well determined of the constants ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Characteristic function | declared | parts/02-mathematical-methods/09-probability-statistics.tex:2490 |
depends_on |
→ | Chi-squared | declared | parts/02-mathematical-methods/09-probability-statistics.tex:2490 |
depends_on |
→ | Elementary properties | declared | parts/02-mathematical-methods/09-probability-statistics.tex:2490 |
depends_on |
← | Residuals about a weighted mean; the Birge ratio | declared | parts/02-mathematical-methods/09-probability-statistics.tex:2607 |
depends_on |
← | The six values are mutually inconsistent, and by how much | declared | parts/03-classical-mechanics/16-exp-cavendish.tex:1171 |
proves |
← | ch:09-probability-statistics@proof-34 | declared | parts/02-mathematical-methods/09-probability-statistics.tex:2493 |