definition A.218 The hypotheses

open in the book · appendices/A-long-proofs.tex:11071 · p. 2898

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 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 equation 11.89 eq:prob-p-one-sided ¶
  - depends_on equation 11.88 eq:prob-q0 ¶

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Gaussian distribution	declared	appendices/A-long-proofs.tex:11091
`depends_on`	→	Upcrossings	declared	appendices/A-long-proofs.tex:11091
`depends_on`	←	At each point, field and derivative are independent Gaussians	declared	appendices/A-long-proofs.tex:11131
`depends_on`	←	Rice's formula	declared	appendices/A-long-proofs.tex:11102