theorem 11.102 Rice's formula
open in the book ·
parts/02-mathematical-methods/09-probability-statistics.tex:3139
· p. 408
Rests on
-
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
definition 11.100
Upcrossings
¶
-
depends_on
definition 11.96
Local, global, trials factor
¶
-
depends_on
definition 11.75
$p$-value
¶
-
depends_on
definition 11.74
Hypotheses and tests
¶
- depends_on definition 11.53 Statistical model ¶
-
depends_on
definition 11.74
Hypotheses and tests
¶
- depends_on equation 11.89 eq:prob-p-one-sided ¶
- depends_on equation 11.88 eq:prob-q0 ¶
-
depends_on
definition 11.75
$p$-value
¶
-
depends_on
definition 11.96
Local, global, trials factor
¶
- proves proof ch:09-probability-statistics@prooflink-5 ¶
Supports
-
depends_on
theorem 11.103
Level dependence of the mean upcrossing
count
¶
- depends_on corollary 11.105 Trials factor at high significance ¶
- depends_on example 11.107 Degrading a local five sigma ¶
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 |
→ | Gaussian distribution | declared | parts/02-mathematical-methods/09-probability-statistics.tex:3149 |
depends_on |
→ | Upcrossings | declared | parts/02-mathematical-methods/09-probability-statistics.tex:3149 |
depends_on |
← | Level dependence of the mean upcrossing count | declared | parts/02-mathematical-methods/09-probability-statistics.tex:3186 |
proves |
← | ch:09-probability-statistics@prooflink-5 | declared | parts/02-mathematical-methods/09-probability-statistics.tex:3173 |