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Survival Distributions with piece-wise Constant Hazards

Source: R/pch.R
pch.Rd

Densitiy, distribution function, quantiles, random numbers, hazard function, cumulative hazard function and survival function of survival distributions with piece-wise constant hazards (picewise exponential distributions).

Usage

dpch(x, t, lambda)

ppch(q, t, lambda)

qpch(p, t, lambda)

rpch(n, t, lambda, discrete = FALSE)

hpch(x, t, lambda)

chpch(x, t, lambda)

spch(q, t, lambda)

Arguments

x

vector of quantiles

t

vector of left interval borders

lambda

vector of hazards

q

vector of quantiles

p

vector of probabilities

n

number of random numbers

discrete

round survival times to whole numbers

Value

dpch gives the density evaluated at x.

ppch gives the distribution function evaluated at q.

qpch gives the p-quantiles.

rpch gives n random numbers.

hpch gives the hazard function evaluated at x.

chpch gives the cumulative hazard function evaluated at x.

spch gives the survival function evaluated at q.

Functions

  • dpch(): density of survival distributions with piece-wise constant hazards

  • ppch(): distribution function of survival distributions with piece-wise constant hazards

  • qpch(): quantiles of survival distributions with piece-wise constant hazards

  • rpch(): random samples of survival distributions with piece-wise constant hazards

  • hpch(): hazard of survival distributions with piece-wise constant hazards

  • chpch(): cumulative hazard of survival distributions with piece-wise constant hazards

  • spch(): survival function of survival distributions with piece-wise constant hazards

Examples

dpch(1:10, c(0, 3), c(2, 0.1))
#>  [1] 0.2706705665 0.0366312778 0.0002478752 0.0002242868 0.0002029431
#>  [6] 0.0001836305 0.0001661557 0.0001503439 0.0001360368 0.0001230912
ppch(1:10, c(0, 3), c(2, 0.1))
#>  [1] 0.8646647 0.9816844 0.9975212 0.9977571 0.9979706 0.9981637 0.9983384
#>  [8] 0.9984966 0.9986396 0.9987691
qpch(seq(0,1, by=0.1), c(0, 3), c(2, 0.1))
#>  [1] 0.00000000 0.05268026 0.11157178 0.17833747 0.25541281 0.34657359
#>  [7] 0.45814537 0.60198640 0.80471896 1.15129255        Inf
rpch(15, c(0, 3), c(2, 0.1))
#>  [1] 0.042098654 0.898887877 0.459097379 0.085517807 0.003713476 0.314048299
#>  [7] 0.344355904 0.171081269 0.660032361 0.740349800 1.038125960 0.096149964
#> [13] 0.017420651 0.193114946 0.257356785
rpch(15, c(0, 3), c(2, 0.1), discrete=TRUE)
#>  [1] 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1
hpch(1:10, c(0, 3), c(2, 0.1))
#>  [1] 2.0 2.0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1
chpch(1:10, c(0, 3), c(2, 0.1))
#>  [1] 2.0 4.0 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7
ppch(1:10, c(0, 3), c(2, 0.1))
#>  [1] 0.8646647 0.9816844 0.9975212 0.9977571 0.9979706 0.9981637 0.9983384
#>  [8] 0.9984966 0.9986396 0.9987691