definition 11.23 Expectation, moments and quantiles in the continuous case

open in the book · parts/02-mathematical-methods/09-probability-statistics.tex:619 · p. 378

Rests on

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 example 11.30 Exponential lifetimes ¶
depends_on proposition 11.29 Gaussian moments ¶
depends_on proposition 11.27 Probability integral transform ¶
depends_on proposition 11.24 The algebra of the discrete case transfers ¶
- depends_on example 11.30 Exponential lifetimes ¶ ↺
- depends_on proposition 11.26 Product rule ¶

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`depends_on`	→	Density	declared	parts/02-mathematical-methods/09-probability-statistics.tex:631
`depends_on`	→	Expectation	declared	parts/02-mathematical-methods/09-probability-statistics.tex:631
`depends_on`	←	Exponential lifetimes	declared	parts/02-mathematical-methods/09-probability-statistics.tex:793
`depends_on`	←	Gaussian moments	declared	parts/02-mathematical-methods/09-probability-statistics.tex:740
`depends_on`	←	Probability integral transform	declared	parts/02-mathematical-methods/09-probability-statistics.tex:704
`depends_on`	←	The algebra of the discrete case transfers	declared	parts/02-mathematical-methods/09-probability-statistics.tex:641