lemma A.199 The standardised third moment is at least one
open in the book ·
appendices/A-long-proofs.tex:10135
· p. 2888
Rests on
-
depends_on
lemma 11.63
Cauchy–Schwarz for random
variables
¶
-
depends_on
definition 11.11
Covariance and correlation
¶
-
depends_on
definition 11.6
Moments, variance, standard deviation
¶
-
depends_on
proposition 11.5
Transfer, linearity, monotonicity
¶
- depends_on definition 11.4 Expectation ¶
- depends_on proposition 11.2 Elementary rules ¶
- proves proof ch:09-probability-statistics@proof-2 ¶
-
depends_on
proposition 11.5
Transfer, linearity, monotonicity
¶
- depends_on proposition 11.5 Transfer, linearity, monotonicity ¶ ↺
-
depends_on
definition 11.6
Moments, variance, standard deviation
¶
- depends_on definition 11.6 Moments, variance, standard deviation ¶ ↺
- proves proof ch:09-probability-statistics@proof-24 ¶
-
depends_on
definition 11.11
Covariance and correlation
¶
- proves proof app:A-long-proofs@proof-123 ¶
Supports
- depends_on lemma A.200 Transform estimate ¶
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 |
→ | Cauchy–Schwarz for random variables | declared | appendices/A-long-proofs.tex:10139 |
depends_on |
← | Transform estimate | declared | appendices/A-long-proofs.tex:10165 |
proves |
← | app:A-long-proofs@proof-123 | declared | appendices/A-long-proofs.tex:10142 |