stress_strength_rel: Stress-Strength Reliability Estimation R = P(X < Y)

In CompRiskRel: Reliability and Competing Risks Analysis under Hybrid Censoring

Stress-Strength Reliability Estimation R = P(X < Y)

Description

Stress-Strength Reliability Estimation R = P(X < Y)

Usage

stress_strength_rel(
  data_X,
  data_Y,
  pdf_X,
  cdf_X,
  pdf_Y,
  cdf_Y,
  init_par_X,
  init_par_Y,
  method = "BFGS"
)

Arguments

data_X	Object of class comp_risk_rel_data for stress X.
data_Y	Object of class comp_risk_rel_data for strength Y.
pdf_X	Density function for X.
cdf_X	CDF function for X.
pdf_Y	Density function for Y.
cdf_Y	CDF function for Y.
init_par_X	Initial parameter value for X.
init_par_Y	Initial parameter value for Y.
method	Optimization method.

Value

S3 object containing parameter estimates, estimated reliability R = P(X < Y), standard error, and asymptotic confidence interval.

Examples

dat <- gen_stress_strength(
  pdf_X = function(x) dexp(x, rate = 1.2), cdf_X = function(x) pexp(x, rate = 1.2),
  pdf_Y = function(y) dexp(y, rate = 0.8), cdf_Y = function(y) pexp(y, rate = 0.8),
  lower_X = 0, upper_X = 10, lower_Y = 0, upper_Y = 10,
  n_X = 20, n_Y = 20, censoring_type = "type1_hybrid",
  r_X = 12, T_X = 1.2, r_Y = 12, T_Y = 1.5, seed = 123
)
stress_strength_rel(
  data_X = dat$data_X, data_Y = dat$data_Y,
  pdf_X = function(x, th) dexp(x, rate = th[1]), cdf_X = function(x, th) pexp(x, rate = th[1]),
  pdf_Y = function(y, th) dexp(y, rate = th[1]), cdf_Y = function(y, th) pexp(y, rate = th[1]),
  init_par_X = c(1.0), init_par_Y = c(0.7), method = "BFGS"
)

CompRiskRel documentation built on Aug. 5, 2026, 9:08 a.m.