definition 11.13 Independence
open in the book ·
parts/02-mathematical-methods/09-probability-statistics.tex:359
· p. 375
- ground object -- no derivation owed
Rests on
-
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 7.2 Absolute value ¶ ↺
-
depends_on
definition 7.45
Series
¶
-
depends_on
definition 11.1
Discrete probability space
¶
Supports
-
depends_on
definition 11.25
Joint density and independence
¶
- depends_on proposition 11.26 Product rule ¶
-
depends_on
definition 11.16
Sample mean, variance and correlation
¶
- depends_on example 11.19 A counting measurement ¶
- depends_on example 11.31 A length measurement ¶
-
depends_on
proposition 11.17
Sampling identities
¶
- depends_on example 11.19 A counting measurement ¶ ↺
- depends_on example 11.31 A length measurement ¶ ↺
-
depends_on
proposition 11.14
Independence implies zero covariance; the converse
fails
¶
-
depends_on
example 11.18
Three standard discrete
distributions
¶
- depends_on example 11.19 A counting measurement ¶ ↺
- depends_on proposition 11.17 Sampling identities ¶ ↺
-
depends_on
example 11.18
Three standard discrete
distributions
¶
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 |
→ | Discrete random variable | declared | parts/02-mathematical-methods/09-probability-statistics.tex:367 |
depends_on |
← | Joint density and independence | declared | parts/02-mathematical-methods/09-probability-statistics.tex:674 |
depends_on |
← | Sample mean, variance and correlation | declared | parts/02-mathematical-methods/09-probability-statistics.tex:453 |
depends_on |
← | Independence implies zero covariance; the converse fails | declared | parts/02-mathematical-methods/09-probability-statistics.tex:375 |