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genscore (version 1.0.2)

crbound_mu: The Cram\'er-Rao lower bound (times n) for estimating the mean parameter from a univariate truncated normal sample with known variance parameter.

Description

The Cram\'er-Rao lower bound (times n) on the variance for estimating the mean parameter mu from a univariate truncated normal sample, assuming the true variance parameter sigmasq is known.

Usage

crbound_mu(mu, sigmasq)

Value

A number, the Cram\'er-Rao lower bound.

Arguments

mu

The mean parameter.

sigmasq

The variance parameter.

Details

The Cram\'er-Rao lower bound in this case is defined as \(\sigma^4/var(X-\mu)\).