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On measurability of stochastic processes in products space

On measurability of stochastic processes in products space

For any condition k 3 a countable set S c T such that P 0 {Γ(S, k) -Γ({t}, k)} = 0 for all t e T.The proof is a simple exhaustion argument.Such a countable subset S will be called determining for k.Let <βt~ be a family of sets with the …