The lognormal distribution (Limpert et al. (2001) <doi:10.1641/0006-3568(2001)051 can characterize uncertainty that is bounded by zero. This package provides estimation of distribution parameters, computation of moments and other basic statistics, and an approximation of the distribution of the sum of several correlated lognormally distributed variables (Lo 2013 <doi:10.12988/ams.2013.39511>) and the approximation of the difference of two correlated lognormally distributed variables (Lo 2012 <doi:10.1155/2012/838397>).
Essential functions are
Compute summary statistics:
computing distribution parameters from summary statistics:
estimate distribution parameters from summary sample:
Approximate the sum of correlated lognormals:
Approximate the difference of two correlated lognormals:
Utilities for correlated data. These functions maybe moved to a separate package in future.
Estimate summary statistics of autocorrelated data
standard error of the mean:
effective number of observations
Return the vector of effective components of the autocorrelation:
Otherwise refer to the vignettes
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