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Cumulative Distribution Function

Source: R/burrrIII3.R, R/gamma.R, R/gompertz.R, and 9 more
ssd_p.Rd

Cumulative Distribution Function

Usage

ssd_pburrIII3(
  q,
  shape1 = 1,
  shape2 = 1,
  scale = 1,
  lower.tail = TRUE,
  log.p = FALSE
)

ssd_pgamma(q, shape = 1, scale = 1, lower.tail = TRUE, log.p = FALSE)

ssd_pgompertz(q, location = 1, shape = 1, lower.tail = TRUE, log.p = FALSE)

ssd_pinvpareto(q, shape = 3, scale = 1, lower.tail = TRUE, log.p = FALSE)

ssd_plgumbel(
  q,
  locationlog = 0,
  scalelog = 1,
  lower.tail = TRUE,
  log.p = FALSE
)

ssd_pllogis_llogis(
  q,
  locationlog1 = 0,
  scalelog1 = 1,
  locationlog2 = 1,
  scalelog2 = 1,
  pmix = 0.5,
  lower.tail = TRUE,
  log.p = FALSE
)

ssd_pllogis(q, locationlog = 0, scalelog = 1, lower.tail = TRUE, log.p = FALSE)

ssd_plnorm_lnorm(
  q,
  meanlog1 = 0,
  sdlog1 = 1,
  meanlog2 = 1,
  sdlog2 = 1,
  pmix = 0.5,
  lower.tail = TRUE,
  log.p = FALSE
)

ssd_plnorm(q, meanlog = 0, sdlog = 1, lower.tail = TRUE, log.p = FALSE)

ssd_pmulti(
  q,
  burrIII3.weight = 0,
  burrIII3.shape1 = 1,
  burrIII3.shape2 = 1,
  burrIII3.scale = 1,
  gamma.weight = 0,
  gamma.shape = 1,
  gamma.scale = 1,
  gompertz.weight = 0,
  gompertz.location = 1,
  gompertz.shape = 1,
  invpareto.weight = 0,
  invpareto.shape = 3,
  invpareto.scale = 1,
  lgumbel.weight = 0,
  lgumbel.locationlog = 0,
  lgumbel.scalelog = 1,
  llogis.weight = 0,
  llogis.locationlog = 0,
  llogis.scalelog = 1,
  llogis_llogis.weight = 0,
  llogis_llogis.locationlog1 = 0,
  llogis_llogis.scalelog1 = 1,
  llogis_llogis.locationlog2 = 1,
  llogis_llogis.scalelog2 = 1,
  llogis_llogis.pmix = 0.5,
  lnorm.weight = 0,
  lnorm.meanlog = 0,
  lnorm.sdlog = 1,
  lnorm_lnorm.weight = 0,
  lnorm_lnorm.meanlog1 = 0,
  lnorm_lnorm.sdlog1 = 1,
  lnorm_lnorm.meanlog2 = 1,
  lnorm_lnorm.sdlog2 = 1,
  lnorm_lnorm.pmix = 0.5,
  weibull.weight = 0,
  weibull.shape = 1,
  weibull.scale = 1,
  lower.tail = TRUE,
  log.p = FALSE
)

ssd_pmulti_fitdists(q, fitdists, lower.tail = TRUE, log.p = FALSE)

ssd_pweibull(q, shape = 1, scale = 1, lower.tail = TRUE, log.p = FALSE)

Arguments

q

vector of quantiles.

shape1

shape1 parameter.

shape2

shape2 parameter.

scale

scale parameter.

lower.tail

logical; if TRUE (default), probabilities are P[X <= x], otherwise, P[X > x].

log.p

logical; if TRUE, probabilities p are given as log(p).

shape

shape parameter.

location

location parameter.

locationlog

location on the log scale parameter.

scalelog

scale on log scale parameter.

locationlog1

locationlog1 parameter.

scalelog1

scalelog1 parameter.

locationlog2

locationlog2 parameter.

scalelog2

scalelog2 parameter.

pmix

Proportion mixture parameter.

meanlog1

mean on log scale parameter.

sdlog1

standard deviation on log scale parameter.

meanlog2

mean on log scale parameter.

sdlog2

standard deviation on log scale parameter.

meanlog

mean on log scale parameter.

sdlog

standard deviation on log scale parameter.

burrIII3.weight

weight parameter for the Burr III distribution.

burrIII3.shape1

shape1 parameter for the Burr III distribution.

burrIII3.shape2

shape2 parameter for the Burr III distribution.

burrIII3.scale

scale parameter for the Burr III distribution.

gamma.weight

weight parameter for the gamma distribution.

gamma.shape

shape parameter for the gamma distribution.

gamma.scale

scale parameter for the gamma distribution.

gompertz.weight

weight parameter for the Gompertz distribution.

gompertz.location

location parameter for the Gompertz distribution.

gompertz.shape

shape parameter for the Gompertz distribution.

invpareto.weight

weight parameter for the inverse Pareto distribution.

invpareto.shape

shape parameter for the inverse Pareto distribution.

invpareto.scale

scale parameter for the inverse Pareto distribution.

lgumbel.weight

weight parameter for the log-Gumbel distribution.

lgumbel.locationlog

location parameter for the log-Gumbel distribution.

lgumbel.scalelog

scale parameter for the log-Gumbel distribution.

llogis.weight

weight parameter for the log-logistic distribution.

llogis.locationlog

location parameter for the log-logistic distribution.

llogis.scalelog

scale parameter for the log-logistic distribution.

llogis_llogis.weight

weight parameter for the log-logistic log-logistic mixture distribution.

llogis_llogis.locationlog1

locationlog1 parameter for the log-logistic log-logistic mixture distribution.

llogis_llogis.scalelog1

scalelog1 parameter for the log-logistic log-logistic mixture distribution.

llogis_llogis.locationlog2

locationlog2 parameter for the log-logistic log-logistic mixture distribution.

llogis_llogis.scalelog2

scalelog2 parameter for the log-logistic log-logistic mixture distribution.

llogis_llogis.pmix

pmix parameter for the log-logistic log-logistic mixture distribution.

lnorm.weight

weight parameter for the log-normal distribution.

lnorm.meanlog

meanlog parameter for the log-normal distribution.

lnorm.sdlog

sdlog parameter for the log-normal distribution.

lnorm_lnorm.weight

weight parameter for the log-normal log-normal mixture distribution.

lnorm_lnorm.meanlog1

meanlog1 parameter for the log-normal log-normal mixture distribution.

lnorm_lnorm.sdlog1

sdlog1 parameter for the log-normal log-normal mixture distribution.

lnorm_lnorm.meanlog2

meanlog2 parameter for the log-normal log-normal mixture distribution.

lnorm_lnorm.sdlog2

sdlog2 parameter for the log-normal log-normal mixture distribution.

lnorm_lnorm.pmix

pmix parameter for the log-normal log-normal mixture distribution.

weibull.weight

weight parameter for the Weibull distribution.

weibull.shape

shape parameter for the Weibull distribution.

weibull.scale

scale parameter for the Weibull distribution.

fitdists

An object of class fitdists.

Functions

  • ssd_pburrIII3(): Cumulative Distribution Function for BurrIII Distribution

  • ssd_pgamma(): Cumulative Distribution Function for Gamma Distribution

  • ssd_pgompertz(): Cumulative Distribution Function for Gompertz Distribution

  • ssd_pinvpareto(): Cumulative Distribution Function for Inverse Pareto Distribution

  • ssd_plgumbel(): Cumulative Distribution Function for Log-Gumbel Distribution

  • ssd_pllogis_llogis(): Cumulative Distribution Function for Log-Logistic/Log-Logistic Mixture Distribution

  • ssd_pllogis(): Cumulative Distribution Function for Log-Logistic Distribution

  • ssd_plnorm_lnorm(): Cumulative Distribution Function for Log-Normal/Log-Normal Mixture Distribution

  • ssd_plnorm(): Cumulative Distribution Function for Log-Normal Distribution

  • ssd_pmulti(): Cumulative Distribution Function for Multiple Distributions

  • ssd_pmulti_fitdists(): Cumulative Distribution Function for Multiple Distributions

  • ssd_pweibull(): Cumulative Distribution Function for Weibull Distribution

See also

ssd_q and ssd_r

Examples


ssd_pburrIII3(1)
#> [1] 0.5

ssd_pgamma(1)
#> [1] 0.6321206

ssd_pgompertz(1)
#> [1] 0.8206259

ssd_pinvpareto(1)
#> [1] 1

ssd_plgumbel(1)
#> [1] 0.3678794

ssd_pllogis_llogis(1)
#> [1] 0.3844707

ssd_pllogis(1)
#> [1] 0.5

ssd_plnorm_lnorm(1)
#> [1] 0.3293276

ssd_plnorm(1)
#> [1] 0.5

# multi
ssd_pmulti(1, gamma.weight = 0.5, lnorm.weight = 0.5)
#> [1] 0.5660603

# multi fitdists
fit <- ssd_fit_dists(ssddata::ccme_boron)
ssd_pmulti_fitdists(1, fit)
#> [1] 0.03898781

ssd_pweibull(1)
#> [1] 0.6321206