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Table 1 Overview of comparison measures dynamically quantifying the difference between the patient and general population mortality

From: On estimating the time to statistical cure

Comparison measure

Notation

Interpretation

Computability

Reference

Conditional relative survival

\(\frac {R(t + u|\mathrm {z})}{R(t|\mathrm {z})}\)

Challenging

Feasible

[11]

Relative survival of the uncured

Su(t|z)

Challenging

Challenging

[9]

Probability of cure

P(Y=1|T>t,z)

Intuitive

Challenging

[13]

Probability of cancer-related death

P(Tt,D=cancer|z)

Intuitive

Challenging

[16]

Loss of lifetime

\(\frac {\int _{t}^{\infty } S^{*}(u|\mathrm {z})du}{S^{*}(t|\mathrm {z})} - \frac {\int _{t}^{\infty } S(u|\mathrm {z})du}{S(t|\mathrm {z})}\)

Intuitive

Challenging

[17]