# TLMoment: Trimmed L Moments In TLMoments: Calculate TL-Moments and Convert Them to Distribution Parameters

 TLMoment R Documentation

## Trimmed L Moments

### Description

Calculates empirical Trimmed L-moments of specific order(s) and trimming.

### Usage

TLMoment(
x,
order = 1L,
leftrim = 0L,
rightrim = 0L,
na.rm = FALSE,
computation.method = "auto"
)

### Arguments

 x numeric vector of data. order integer, order of Trimmed Moment, has to be greater than 1. leftrim, rightrim integer indicating trimming parameters, have to be greater than 0. na.rm logical, indicates if NAs should be removed. computation.method character, indicating if the computation is performed via PWMs, direct, recursive, or recurrence (see References Hosking & Balakrishnan, 2015). Possible values are auto (default, automatically choose appropriate method), pwm, direct, recursive, or recurrence. Only if empirical moments are calculated.

### Value

numeric vector, empirical TL(leftrim,rightrim)-moments of orders order of x

### References

Elamir, E. A., & Seheult, A. H. (2003). Trimmed L-moments. Computational Statistics & Data Analysis, 43(3), 299-314.

Hosking, J. R. (1990). L-moments: analysis and estimation of distributions using linear combinations of order statistics. Journal of the Royal Statistical Society. Series B (Methodological), 105-124.

Hosking, J. R. M. (2007). Some theory and practical uses of trimmed L-moments. Journal of Statistical Planning and Inference, 137(9), 3024-3039.

Hosking, J. R. M., & Balakrishnan, N. (2015). A uniqueness result for L-estimators, with applications to L-moments. Statistical Methodology, 24, 69-80.

TLMoments

### Examples

x <- rnorm(100)
TLMoment(x, order = 1)
TLMoment(x, order = 2, leftrim = 0, rightrim = 1)
TLMoment(x, order = c(1, 2, 3), leftrim = 2, rightrim = 2)
TLMoment(x, order = c(1, 3, 2), leftrim = 2, rightrim = 2)

TLMoments documentation built on March 27, 2022, 5:07 p.m.