Theorems · Theorem · probability

ProbabilityTheory.IsGaussianProcess.congr

∀ {T : Type u_2} {Ω : Type u_3} {E : Type u_4} {mΩ : MeasurableSpace Ω} {P : MeasureTheory.Measure Ω} {X Y : T → Ω → E}
  [inst : MeasurableSpace E] [inst_1 : TopologicalSpace E] [inst_2 : AddCommMonoid E] [inst_3 : Module ℝ E],
  ProbabilityTheory.IsGaussianProcess X P → (∀ (t : T), X t =ᵐ[P] Y t) → ProbabilityTheory.IsGaussianProcess Y P

A modification of a Gaussian process is a Gaussian process.

Defined in

Mathlib.Probability.Distributions.Gaussian.IsGaussianProcess.Basic

Cited by

0 results in Mathlib

Foundations

Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceAddCommMonoidModule