Theorems · Definition · probability

ProbabilityTheory.IsAEKolmogorovProcess.mk

{T : Type u_1} →
  {Ω : Type u_2} →
    {E : Type u_3} →
      [inst : PseudoEMetricSpace T] →
        {mΩ : MeasurableSpace Ω} →
          [inst_1 : PseudoEMetricSpace E] →
            {p q : ℝ} →
              {M : NNReal} →
                {P : MeasureTheory.Measure Ω} →
                  (X : T → Ω → E) → ProbabilityTheory.IsAEKolmogorovProcess X P p q M → T → Ω → E

A process with the property IsKolmogorovProcess such that ∀ t, X t =ᵐ[P] h.mk X t.

Defined in

Mathlib.Probability.Process.Kolmogorov

Cited by

7 results in Mathlib

Foundations

Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PseudoEMetricSpacePseudoEMetricSpace