definition 11.25 Joint density and independence
open in the book ·
parts/02-mathematical-methods/09-probability-statistics.tex:667
· p. 378
- ground object -- no derivation owed
Rests on
-
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 11.13
Independence
¶
-
depends_on
definition 11.3
Discrete random variable
¶
-
depends_on
definition 11.1
Discrete probability space
¶
-
depends_on
definition 7.45
Series
¶
- depends_on definition 7.2 Absolute value ¶
- depends_on definition 7.4 Convergence ¶
-
depends_on
definition 7.45
Series
¶
-
depends_on
definition 11.1
Discrete probability space
¶
-
depends_on
definition 11.3
Discrete random variable
¶
Supports
- depends_on proposition 11.26 Product rule ¶
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 |
→ | Density | declared | parts/02-mathematical-methods/09-probability-statistics.tex:674 |
depends_on |
→ | Independence | declared | parts/02-mathematical-methods/09-probability-statistics.tex:674 |
depends_on |
← | Product rule | declared | parts/02-mathematical-methods/09-probability-statistics.tex:681 |