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Table 1 Values of parameter w in selected multistate models with all transfer rates equal to m and interval lengths equal to 1

From: Rates, intrinsic linkages, and multistate population dynamics

  Largest subordinate root of Value of w when m is
Model form Rate matrix (r2) Projection matrix (λ2) .05 .10 .20
N = 2 path –2 m (1–m)/(1 + m) .905 .818 .667
N = 3 path m (2–m)/(2 + m) .951 .905 .818
N = 3 triangular, 5-rates –2 m (1–m)/(1 + m) .905 .818 .667
N = 3 full –3 m (2–3 m)/(2 + 3 m) .860 .739 .538
N = 4 path \( -\mathrm{m}\left(2-\surd \overline{2}\right) \) \( \frac{2+2\mathrm{m}\surd \overline{2}-{\mathrm{m}}^2}{2+4\mathrm{m}+{\mathrm{m}}^2} \) .971 .943 .889