Convert Instantaneous Hazard Rates to Survival Curve — convert_hazard_to

This function converts a vector of hazard rates into a survival curve. The survival probability at each time point is calculated based on the cumulative sum of the hazard rates up to that point.

Usage

convert_hazard_to_survival(hazard_rates)

Arguments

hazard_rates: A numeric vector of hazard rates.

Value

A numeric vector of survival probabilities corresponding to the input hazard rates.

Details

The relationship between the hazard rates and the survival probabilities is given by: $$S(t) = \exp(-\sum_{i=1}^{t} h_i)$$ where $S(t)$ is the survival probability at time $t$, and $h_i$ is the hazard rate at time $i$.

Examples

if (FALSE) { # \dontrun{
# Example hazard rates
hazard_rates <- c(0.01, 0.02, 0.015, 0.03)

# Convert hazard rates to survival probabilities
survival_curve <- convert_hazard_to_survival(hazard_rates)

survival_curve
} # }