Newton-Raphson Method
A numerical technique finding a function's roots by iteratively improving an initial guess using the function's value and derivative at each step.
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A numerical technique finding a function's roots by iteratively improving an initial guess using the function's value and derivative at each step.
An alternative cure model structure formulating survival directly in terms of the cured fraction without explicitly splitting the population into two subgroups.
A statistical approach to estimating a survival function without assuming the data follow any specific mathematical distribution.
Survival data or estimates obtained without assuming a specific distribution, such as a Kaplan-Meier curve calculated directly from observed trial data.
A continuous, symmetric, bell-shaped probability distribution fully described by its mean and variance, widely used to represent uncertainty in statistical applications.
Techniques for approximating the value of a definite integral when an exact analytical solution is unavailable or impractical to derive.
A computational technique for obtaining an approximate solution to a mathematical problem when an exact analytical solution is unavailable or impractical.
Computational techniques for finding the input values that minimise or maximise an objective function when no analytical solution is available.
A sensitivity analysis in which a single input parameter is varied across a range while all others are held at their base case values.
An analysis varying a single input parameter across its plausible range, one at a time, to assess its individual effect on cost-effectiveness results.
The difference in value between the outcome of the optimal decision and the outcome of the decision actually made under uncertainty.
The sample size for a proposed study that maximises the expected net benefit of sampling, balancing information value against rising cost.
The specific probability distribution, such as a beta, gamma, or normal distribution, assigned to represent uncertainty in a given input parameter.
The statistical process of using observed data to determine the most likely values for a model's unknown parameters.
Uncertainty arising from imperfect knowledge of the true value of an input parameter, such as a transition probability or unit cost.
A statistical approach estimating a survival function by assuming the data follow a specific distribution, such as Weibull or log-normal, with estimated parameters.
Survival estimates derived from a fitted mathematical distribution rather than directly from observed data alone, allowing extrapolation beyond the data.
A statistical model assuming time-to-event data follow a specific distribution, such as Weibull or log-normal, allowing extrapolation beyond observed data.
A Monte Carlo technique estimating a dynamic system's state over time using weighted sample points, called particles, updated as new data arrive.
A population-based optimisation technique inspired by flocking behaviour, in which candidate solutions adjust position based on their own and the group's best results.