definition 11.16 Sample mean, variance and correlation
open in the book ·
parts/02-mathematical-methods/09-probability-statistics.tex:431
· p. 376
- ground object -- no derivation owed
Rests on
-
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 definition 7.45 Series ¶
- depends_on definition 11.3 Discrete random variable ¶
-
depends_on
proposition 11.2
Elementary rules
¶
- depends_on definition 11.1 Discrete probability space ¶
- proves proof ch:09-probability-statistics@proof-1 ¶
- proves proof ch:09-probability-statistics@proof-2 ¶
-
depends_on
definition 11.4
Expectation
¶
-
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 11.13
Independence
¶
- depends_on definition 11.3 Discrete random variable ¶ ↺
- depends_on definition 11.6 Moments, variance, standard deviation ¶ ↺
Supports
- 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 ¶ ↺
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 |
→ | Covariance and correlation | declared | parts/02-mathematical-methods/09-probability-statistics.tex:453 |
depends_on |
→ | Independence | declared | parts/02-mathematical-methods/09-probability-statistics.tex:453 |
depends_on |
→ | Moments, variance, standard deviation | declared | parts/02-mathematical-methods/09-probability-statistics.tex:453 |
depends_on |
← | A counting measurement | declared | parts/02-mathematical-methods/09-probability-statistics.tex:552 |
depends_on |
← | A length measurement | declared | parts/02-mathematical-methods/09-probability-statistics.tex:818 |
depends_on |
← | Sampling identities | declared | parts/02-mathematical-methods/09-probability-statistics.tex:466 |