mos: Simulation and Moments Computation for Order Statistics

The mos package provides tools for simulating order statistics, censored samples (Type I and Type II), and record values from various continuous distributions. It also includes functions to compute the moments (mean, variance, skewness, and kurtosis) of order statistics using exact or simulation-based methods.

Installation

You can install the package from CRAN with:

install.packages("mos")

Features

• Simulation of order statistics from known or user-defined distributions via ros().
• Generation of censored samples: rcens() and rpcens2().
• Generation of upper and lower k-records: rkrec().
• Moment computations for order statistics using closed-form or Monte Carlo methods:
  • Exact: mo_unif(), mo_exp(), mo_weibull(), etc.
  • Simulated: mo_norm(), mo_gamma(), mo_beta(), etc.

Example

Compute the first and second moments of the 2nd order statistic from an exponential distribution:

mo_exp(r = 2, n = 10, k = 1)  # First moment
mo_exp(r = 2, n = 10, k = 2)  # Second moment

Simulate order statistics from the normal distribution:

ros(size = 5, r = 2, n = 10, dist = "norm", mean = 0, sd = 1)

License

GPL-3