COUNTABLE-STATE MARKOV CHAINS
... by 1. Thus Fij (1), i.e., limn→1 Fij (n) must exist, and is the probability, given X0 = i, that state j will ever occur. If Fij (1) = 1, then, given X0 = i, it is certain (with probability 1) that the chain will eventually enter state j. In this case, we can define a random variable (rv) Tij , condi ...
... by 1. Thus Fij (1), i.e., limn→1 Fij (n) must exist, and is the probability, given X0 = i, that state j will ever occur. If Fij (1) = 1, then, given X0 = i, it is certain (with probability 1) that the chain will eventually enter state j. In this case, we can define a random variable (rv) Tij , condi ...
1 Weakly Perfect Generalized Ordered Spaces by Harold R Bennett
... linearly ordered spaces, “weakly perfect” and “perfect” are very different properties. It is harder to see that the two concepts are distinct among really nice spaces, e.g., among Lindelöf spaces or compact Hausdorff spaces. Kočinac [K1] used the set-theoretic principle ♦ to construct a compact Ha ...
... linearly ordered spaces, “weakly perfect” and “perfect” are very different properties. It is harder to see that the two concepts are distinct among really nice spaces, e.g., among Lindelöf spaces or compact Hausdorff spaces. Kočinac [K1] used the set-theoretic principle ♦ to construct a compact Ha ...