Let （Ω, F, P）=（[0, 1], [0, 1], μ）<sup>N</sup> （μ is the Lebesque measure, N={1, 2,…}）.{X<sub>n</sub>}<sub>n=1</sub><sup>∞</sup> are independent random variabl...Let （Ω, F, P）=（[0, 1], [0, 1], μ）<sup>N</sup> （μ is the Lebesque measure, N={1, 2,…}）.{X<sub>n</sub>}<sub>n=1</sub><sup>∞</sup> are independent random variables on （Ω, F, P） with X<sub>n</sub>（ω）=ω<sub>n</sub>, where ω=（ω<sub>1</sub>, ω<sub>2</sub>,…）. The {X<sub>n</sub>}<sub>n=1</sub><sup>∞</sup> are almost surely distinct. Thus to almost all sample points ω there is a random partial order 【 of the integers given展开更多
文摘Let （Ω, F, P）=（[0, 1], [0, 1], μ）<sup>N</sup> （μ is the Lebesque measure, N={1, 2,…}）.{X<sub>n</sub>}<sub>n=1</sub><sup>∞</sup> are independent random variables on （Ω, F, P） with X<sub>n</sub>（ω）=ω<sub>n</sub>, where ω=（ω<sub>1</sub>, ω<sub>2</sub>,…）. The {X<sub>n</sub>}<sub>n=1</sub><sup>∞</sup> are almost surely distinct. Thus to almost all sample points ω there is a random partial order 【 of the integers given
