The general theory of stochastic population processes
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چکیده
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15 صفحه اولGeneral Theory of Processes Notes
Sets subscripted with a “+” are nonnegative, and sets subscripted with a “++” are strictly positive. We write dxen := ∑ i∈N+ i+1 2n ·1[i/2n,(i+1)/2n)(x) and bxcn := ∑ i∈N+ i 2n ·1(i/2n,(i+1)/2n](x) so dxen x and bxcn x, unless x = 0, in which case bxcn = 0 for all n. We will write (Ft)0≤t≤∞ to denote a filtration. If X• is a process taking values in (E,E ), then F t = σ ({Xs ∈ A | 0 ≤ s ≤ t, A ...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1962
ISSN: 0001-5962
DOI: 10.1007/bf02545761