SHEN Shiren, WU Weizhi, MI Jusheng, . MEASURABILITY OF THE LIMIT AND SOME CONVERGENCE THEOREMS OF A SEQUENCE OF RANDOM SETS[J]. Chinese Journal of Applied Probability and Statistics, 1994, 10(1): 72-77.
Citation: SHEN Shiren, WU Weizhi, MI Jusheng, . MEASURABILITY OF THE LIMIT AND SOME CONVERGENCE THEOREMS OF A SEQUENCE OF RANDOM SETS[J]. Chinese Journal of Applied Probability and Statistics, 1994, 10(1): 72-77.

MEASURABILITY OF THE LIMIT AND SOME CONVERGENCE THEOREMS OF A SEQUENCE OF RANDOM SETS

  • In this paper, we give the measurability of the weak lower limit and the strong upper limit of a sequence of random seta, and Fatous lemmas for the weak lower limit and strong upper limit and Lebesgues dominated convergence theorem in the sense of Kuratowski convergence for multivalued conditional expectation of a sequence of random sets.
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