theorem A.183 Lindeberg–Feller
open in the book ·
appendices/A-long-proofs.tex:9447
· p. 2881
Rests on
- depends_on definition 11.42 Characteristic function ¶
-
depends_on
definition 11.28
Gaussian distribution
¶
-
depends_on
definition 11.20
Density
¶
-
depends_on
definition 7.39
Darboux sums and the definite integral
¶
- depends_on axiom 7.1 Completeness of $\R$ ¶
-
depends_on
definition 7.39
Darboux sums and the definite integral
¶
-
depends_on
definition 11.20
Density
¶
-
depends_on
proposition 11.43
Elementary properties
¶
- depends_on definition 11.42 Characteristic function ¶ ↺
- proves proof ch:09-probability-statistics@proof-15 ¶
- proves proof app:A-long-proofs@proof-114 ¶
Supports
- depends_on corollary A.188 Lindeberg–Lévy is the special case ¶
- depends_on corollary A.189 Lyapunov's condition ¶
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 | appendices/A-long-proofs.tex:9461 |
depends_on |
→ | Gaussian distribution | declared | appendices/A-long-proofs.tex:9461 |
depends_on |
→ | Elementary properties | declared | appendices/A-long-proofs.tex:9461 |
depends_on |
← | Lindeberg–Lévy is the special case | declared | appendices/A-long-proofs.tex:9705 |
depends_on |
← | Lyapunov's condition | declared | appendices/A-long-proofs.tex:9739 |
proves |
← | app:A-long-proofs@proof-114 | declared | appendices/A-long-proofs.tex:9667 |