For evanescent Markov processes with a single transient communicating class, it is often of interest to examine the limiting probabilities that the process resides in the various transient states, conditional on absorption not having taken place. Such distributions are known as quasistationary (or limiting-conditional) distributions. In this paper we consider the determination of the quasistati...

A multitype urn scheme with random replacements is considered. Each time a ball is picked, another ball is added, and its type is chosen according to the transition probabilities of a reducible Markov chain. The vector of frequencies is shown to converge almost surely to a random element of the set of stationary measures of the Markov chain. Its probability distribution is characterized as the ...

applying two definitions of the union of if-events, p. grzegorzewski gave two generalizations of the inclusion-exclusion principle for if-events.in this paper we prove an inclusion-exclusion principle for if-states based on a method which can also be used to prove grzegorzewski's inclusion-exclusion principle for probabilities on if-events.finally, we give some applications of this principle by...

The paper examines gender differences in intra-firm and inter-firm job changes, including worker-initiated and firm-initiated separations, for white full-time British workers over the period 1991-96. We document four main findings. First, job mobility is high for both men and women, with more than one quarter of the sample changing job each year. Second, the distinction between promotions, quit...

For a number field K and a finite abelian group G, we determine the probabilities of various local completions of a random G-extension of K when extensions are ordered by conductor. In particular, for a fixed prime ℘ of K, we determine the probability that ℘ splits into r primes in a random G-extension of K that is unramified at ℘. We find that these probabilities are nicely behaved and mostly ...

An approach providing fast reduction of the full ignorance in the target identification process is proposed. It uses the new Dezert-Smarandache theory (DSmT) for plausible and paradoxical reasoning, combined with fuzzy set theory. The approach utilizes the information from the adjoint sensor and the additional information obtained from a priori defined objective and subjective considerations. A...

After sketching the various probabilistic accounts of the design inference, including the Bayesian and Dembskian models, I make a stab at developing, in an admittedly crude form, a non-probabilistic model, based on a measure of ontological complexity, which, I conjecture, may more faithfully represent the design inference as found in such classical texts as Aquinas, Reid and Paley. I discuss th...

In location memory tasks, young children show biases toward reference axes, whereas older children show biases away from axes. As predicted by a dynamic systems model, this transition is gradual and varies across target location (Schutte & Spencer, 2009). Here we tested whether task context would influence the transition by testing children in a sandbox memory task that varied in several ways f...

The theory of belief functions has been formalized in continuous domain for pattern recognition. Some applications use assumption of Gaussian models. However, this assumption is reductive. Indeed, some data are not symmetric and present property of heavy tails. It is possible to solve these problems by using a class of distributions called α-stable distributions. Consequently, we present in thi...

This paper provides conditions for identification, and an associated estimator, of the average effect of a binary treatment or policy on a scalar outcome in models where treatment may be misclassified. Misclassification probabilities and the true probability of treatment are also identified. Misclassification occurs when treatment is measured with error, that is, some units are reported to have...