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Scalar truncated power moment of the Weibull distribution

Source: R/truncated_moments.R
trunc_pow_moment.Rd

Convenience wrapper around trunc_pow_moment_vec() for a single truncation point. Computes \(E[T^k | T < t]\) for \(T \sim \text{Weibull}(\alpha, \beta)\).

Usage

trunc_pow_moment(k, t, alpha, beta)

Arguments

k

Numeric scalar. Power parameter (can be non-integer).

t

Numeric scalar. Truncation point (positive).

alpha

Numeric scalar. Weibull shape parameter.

beta

Numeric scalar. Weibull scale parameter.

Value

Numeric scalar \(E[T^k | T < t]\).

See also

trunc_pow_moment_vec() for the vectorized version.

Examples

# E[T^1 | T < 2] for Weibull(shape=1.5, scale=1)
trunc_pow_moment(k = 1, t = 2, alpha = 1.5, beta = 1)
#> [1] 0.8067229