The idea of this paper is to approach linear orderings as generalized ordinals and to study how they are made from their initial segments. First we look at how the equality of two linear orderings can ...

Let Xt be a linear process defined by Xt=Σ k=0 ∞ψ kε t-k, where {ψ k,k≥ 0} is a sequence of real numbers and {ε k, k = 0,±1,±2,...} is a sequence of random variables. Two basic results, on the ...