The EnvStats functions listed below are useful for dealing with Type I censored data.
Data Transformations
Function Name | Description |
boxcoxCensored | Compute values of an objective for Box-Cox Power |
transformations, or compute optimal transformation, | |
for Type I censored data. | |
print.boxcoxCensored | Print an object of class "boxcoxCensored" . |
plot.boxcoxCensored | Plot an object of class "boxcoxCensored" . |
Estimating Distribution Parameters
Function Name | Description |
egammaCensored | Estimate shape and scale parameters for a gamma distribution |
based on Type I censored data. | |
egammaAltCensored | Estimate mean and CV for a gamma distribution |
based on Type I censored data. | |
elnormCensored | Estimate parameters for a lognormal distribution (log-scale) |
based on Type I censored data. | |
elnormAltCensored | Estimate parameters for a lognormal distribution (original scale) |
based on Type I censored data. | |
enormCensored | Estimate parameters for a Normal distribution based on Type I |
censored data. | |
epoisCensored | Estimate parameter for a Poisson distribution based on Type I |
censored data. | |
enparCensored | Estimate the mean and standard deviation nonparametrically. |
gpqCiNormSinglyCensored | Generate the generalized pivotal quantity used to construct a |
confidence interval for the mean of a Normal distribution based | |
on Type I singly censored data. | |
gpqCiNormMultiplyCensored | Generate the generalized pivotal quantity used to construct a |
confidence interval for the mean of a Normal distribution based | |
on Type I multiply censored data. | |
print.estimateCensored | Print an object of class "estimateCensored" . |
Estimating Distribution Quantiles
Function Name | Description |
eqlnormCensored | Estimate quantiles of a Lognormal distribution (log-scale) |
based on Type I censored data, and optionally construct | |
a confidence interval for a quantile. | |
eqnormCensored | Estimate quantiles of a Normal distribution |
based on Type I censored data, and optionally construct | |
a confidence interval for a quantile. | |
All of the functions for computing quantiles (and associated confidence intervals) for complete (uncensored)
data are listed in the help file Estimating Distribution Quantiles. All of these functions, with
the exception of eqnpar
, will accept an object of class
"estimateCensored"
. Thus, you may estimate
quantiles (and construct approximate confidence intervals) for any distribution for which:
There exists a function to estimate distribution parameters using censored data (see the section Estimating Distribution Parameters above).
There exists a function to estimate quantiles for that distribution based on complete data (see the help file Estimating Distribution Quantiles).
Nonparametric estimates of quantiles (and associated confidence intervals) can be constructed from censored
data as long as the order statistics used in the results are above all left-censored observations or below
all right-censored observations. See the help file for eqnpar
for more information and
examples.
Goodness-of-Fit Tests
Function Name | Description |
gofTestCensored | Perform a goodness-of-fit test based on Type I left- or |
right-censored data. | |
print.gofCensored | Print an object of class "gofCensored" . |
plot.gofCensored | Plot an object of class "gofCensored" . |
Hypothesis Tests
Function Name | Description |
twoSampleLinearRankTestCensored | Perform two-sample linear rank tests based on |
censored data. | |
print.htestCensored | Printing method for object of class |
"htestCensored" . |
Plotting Probability Distributions
Function Name | Description |
cdfCompareCensored | Plot two cumulative distribution functions based on Type I |
censored data. | |
ecdfPlotCensored | Plot an empirical cumulative distribution function based on |
Type I censored data. | |
ppointsCensored | Compute plotting positions for Type I censored data. |
qqPlotCensored | Produce quantile-quantile (Q-Q) plots, also called probability |
plots, based on Type I censored data. |
Prediction and Tolerance Intervals
Function Name | Description |
gpqTolIntNormSinglyCensored | Generate the generalized pivotal quantity used to construct a |
tolerance interval for a Normal distribution based | |
on Type I singly censored data. | |
gpqTolIntNormMultiplyCensored | Generate the generalized pivotal quantity used to construct a |
tolerance interval for a Normal distribution based | |
on Type I multiply censored data. | |
tolIntLnormCensored | Tolerance interval for a lognormal distribution (log-scale) |
based on Type I censored data. | |
tolIntNormCensored | Tolerance interval for a Normal distribution based on Type I |
censored data. | |
All of the functions for computing prediction and tolerance intervals for complete (uncensored)
data are listed in the help files Prediction Intervals and Tolerance Intervals.
All of these functions, with the exceptions of predIntNpar
and tolIntNpar
,
will accept an object of class "estimateCensored"
. Thus, you
may construct approximate prediction or tolerance intervals for any distribution for which:
There exists a function to estimate distribution parameters using censored data (see the section Estimating Distribution Parameters above).
There exists a function to create a prediction or tolerance interval for that distribution based on complete data (see the help files Prediction Intervals and Tolerance Intervals).
Nonparametric prediction and tolerance intervals can be constructed from censored
data as long as the order statistics used in the results are above all left-censored observations or below
all right-censored observations. See the help files for predIntNpar
,
predIntNparSimultaneous
, and tolIntNpar
for more information and examples.