On the existence of uni-instantaneous Q-processes with a given finite mu-invariant measure

Let S be a countable set and let Q = (q(ij), i, j is an element of S) be a conservative q-matrix over S with a single instantaneous state b. Suppose that we are given a real number mu >= 0 and a strictly positive probability measure m = (m(j), j is an element of S) such that Sigma(i is an element of S) m(i)q(ij) = -mu m(j), j 0 b. We prove that there exists a Q-process P(t) = (p(ij) (t), i, j E S) for which m is a mu-invariant measure, that is Sigma(i is an element of s) m(i)p(ij)(t) = e(-mu t)m(j), j is an element of S. We illustrate our results with reference to the Kolmogorov 'K 1' chain and a birth-death process with catastrophes and instantaneous resurrection.

Spelling in adults: The role of reading skills and experience

One hundred university students completed tests of spelling production, vocabulary, reading comprehension, reading experience, and reading accuracy (ability to distinguish a previously read word from a similar distractor). Reading experience, as measured by an adaptation of the Author Recognition Test, and reading accuracy contributed to the prediction of spelling beyond the joint contribution of reading comprehension and vocabulary. The results are more consistent with a uni-process model of spelling based on the quality of word-specific orthographic learning, rather than with a dual-process account relying on both word-specific knowledge and rules.