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Based on observations <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$X_1,\dots ,X_n$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <msub> <mrow> <mi>X</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> <mo>,</mo> <mo stretchy="false">…</mo> <mo>,</mo> <msub> <mrow> <mi>X</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msub> </mrow> </math> </EquationSource> </InlineEquation> of successive generations of a discrete-parameter Galton–Watson branching process, one wishes to predict whether extinction or explosion will ultimately occur. This problem can be formulated as a simple...</equationsource></equationsource></inlineequation>
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