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Variance and standard deviation

weighted_var()
Weighted variance
weighted_sd()
Weighted standard deviation

Covariance and correlation

weighted_cov()
Weighted covariance
weighted_cor()
Weighted correlation

Quantiles

weighted_quantile()
Weighted quantiles
weighted_median()
Weighted median
weighted_mad()
Weighted median absolute deviation

Higher moments

weighted_skewness()
Weighted skewness
weighted_kurtosis()
Weighted excess kurtosis