proposition 11.43 Elementary properties

open in the book · parts/02-mathematical-methods/09-probability-statistics.tex:1082 · p. 383

Rests on

depends_on definition 11.42 Characteristic function ¶
proves proof ch:09-probability-statistics@proof-15 ¶

Supports

depends_on lemma A.200 Transform estimate ¶
depends_on proposition 11.81 Density, mean and variance ¶
- depends_on corollary 11.84 Residuals about a weighted mean; the Birge ratio ¶
- depends_on example 33.15 The six values are mutually inconsistent, and by how much ¶
  - depends_on phenomenon 33.16 The least well determined of the constants ¶
depends_on theorem A.183 Lindeberg–Feller ¶
- depends_on corollary A.188 Lindeberg–Lévy is the special case ¶
- depends_on corollary A.189 Lyapunov's condition ¶
depends_on theorem 11.46 Central limit theorem, Lindeberg–Lévy ¶
- depends_on phenomenon 115.44 A large-scale dipole above $8\times10^{18}$ electronvolts ¶
- depends_on theorem 11.67 Asymptotics of the MLE ¶
  - depends_on proposition 11.72 Nuisance parameters cost information ¶
  - depends_on theorem 11.88 Wilks ¶
    - depends_on corollary 11.89 Degrees of freedom with nuisance parameters ¶
      - depends_on example 11.107 Degrading a local five sigma ¶
      - depends_on proposition 11.93 $Z=\sqrt{q}$ ¶
      - depends_on remark 11.90 Failure I: a parameter on the boundary ¶

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`	→	Characteristic function	declared	parts/02-mathematical-methods/09-probability-statistics.tex:1090
`depends_on`	←	Transform estimate	declared	appendices/A-long-proofs.tex:10165
`depends_on`	←	Density, mean and variance	declared	parts/02-mathematical-methods/09-probability-statistics.tex:2490
`depends_on`	←	Lindeberg–Feller	declared	appendices/A-long-proofs.tex:9461
`depends_on`	←	Central limit theorem, Lindeberg–Lévy	declared	parts/02-mathematical-methods/09-probability-statistics.tex:1206
`proves`	←	ch:09-probability-statistics@proof-15	declared	parts/02-mathematical-methods/09-probability-statistics.tex:1093