In ordinary situations involving a small part of the universe, Born's rule seems to work well for calculating probabilities observations in quantum theory. However, there are number reasons believing that it is not adequate many cosmological purposes. Here possible generalizations discussed, explaining why they consistent with present statistical support but can help solve various problems.

A dams's thesis about indicative conditionals is that their assertIlability goes by the conditional subjective probability of the consequent given the antecedent, in very much the same way that assertability normally goes by the subjective probability of truth.' The thesis is well established; the remaining question is how it may best be explained. The nicest explanation would be that the truth...

We study the behavior of Random Walk in Random Environment (RWRE) on trees in the critical case left open in previous work. Representing the random walk by an electrical network, we assume that the ratios of resistances of neighboring edges of a tree Γ are i.i.d. random variables whose logarithms have mean zero and finite variance. Then the resulting RWRE is transient if simple random walk on Γ...

An important QoS issue in wireless networks is how to control handoff drops. There have been several adaptive admission control schemes that dynamically adjust the admission threshold based on handoff occurrences, but little effort for analysis has been made for it because of its mathematical modelling difficulties — it can be modelled as a Markov chain, but its huge state size makes the analys...

detection and modification of the risk factors of stroke may be the most effective strategy for preventing its often irreversible consequences. a longitudinal prospective study was implemented to evaluate the effect of several risk factors on the course of cerebrovascular disease. the study groups were composed of 3s8 normal volunteers, and 308 patients with transient ischemic attacks. the two ...

In this paper, a Markov chain small-world model of D.J. Higham is broadened by incorporating asymmetric transition probabilities. Asymptotic results regarding the transient behavior of the extended model, as measured by its maximum mean first passage time, are established under the assumption that the size of the Markov chain is large. These results are consistent with the outcomes as obtained ...

The verification of continuous-time Markov chains (CTMCs) against continuous stochastic logic (CSL) [3, 6], a stochastic branchingtime temporal logic, is considered. CSL facilitates among others the specification of steady-state properties and the specification of probabilistic timing properties of the form P⊲⊳p(Φ1 U I Φ2), for state formulas Φ1 and Φ2, comparison operator ⊲⊳, probability p, an...

We analyse the transient behaviour of a fluid queue driven by a birth and death process (BDP) whose birth and death rates are suggested by a chain sequence. For the BDP suggested by a chain sequence, the stationary probabilities do not exist and hence the stationary buffer content distribution for fluid queues driven by such BDP does not exist. However, their transient distribution is obtained ...