The Markoff process with a stable distribution

A Generalization of Poisson's Distribution for Markoff Chains.

the impact of portfolio assessment on iranian efl students essay writing: a process-oriented approach

this study was conducted to investigate the impact of portfolio assessment as a process-oriented assessment mechanism on iranian efl students’ english writing and its subskills of focus, elaboration, organization, conventions, and vocabulary. out of ninety juniors majoring in english literature and translation at the university of isfahan, sixty one of them who were at the same level of writing...

Stable process with singular drift

Suppose that d ≥ 2 and α ∈ (1, 2). Let μ = (μ, . . . , μ) be such that each μ is a signed measure on R belonging to the Kato class Kd,α−1. In this paper, we consider the stochastic differential equation dXt = dSt + dAt, where St is a symmetric α-stable process on R and for each j = 1, . . . , d, the j-th component of At is a continuous additive functional of finite variation with respect to X w...

Explicit formula for the supremum distribution of a spectrally negative stable process

In this article we get simple formulas for IE sups≤tX(s) where X is a spectrally positive or negative Lévy process with infinite variation. As a consequence we derive a generalization of the well-known formula for the supremum distribution of Wiener process that is we obtain IP(sups≤t Zα(s) ≥ u) = α IP(Zα(t) ≥ u) for u ≥ 0 where Zα is a spectrally negative α-stable Lévy process with 1 < α ≤ 2 w...

Combinatorial Interpretations for the Markoff Numbers

In this paper we generalize the concept of Markoff numbers with the construction of Markoff polynomials. We then present a combinatorial model based on a family of recursively-defined graphs which we call snakes, such that the Markoff polynomials and Markoff numbers are respectively weighted and unweighted enumerators of the perfect matchings of snakes. We have found four proofs of the central ...