proposition 11.29 Gaussian moments

open in the book · parts/02-mathematical-methods/09-probability-statistics.tex:735 · p. 379

Rests on

depends_on definition 11.23 Expectation, moments and quantiles in the continuous case ¶
- 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 11.4 Expectation ¶
  - 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 11.3 Discrete random variable ¶
    - depends_on definition 11.1 Discrete probability space ¶
      - depends_on definition 7.45 Series ¶ ↺
depends_on definition 11.28 Gaussian distribution ¶
- depends_on definition 11.20 Density ¶ ↺
proves proof ch:09-probability-statistics@proof-13 ¶

Nothing declares a dependency on this node yet.

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Expectation, moments and quantiles in the continuous case	declared	parts/02-mathematical-methods/09-probability-statistics.tex:740
`depends_on`	→	Gaussian distribution	declared	parts/02-mathematical-methods/09-probability-statistics.tex:740
`proves`	←	ch:09-probability-statistics@proof-13	declared	parts/02-mathematical-methods/09-probability-statistics.tex:743