Smu {LearningStats}

Standard Deviation Estimator when the Population Mean is Known

Description

Smu computes a estimation of the standard deviation, given a sample x with known mean (denoted by mu).

Usage

Smu(x, mu)

Arguments

x

a numeric vector containing the sample.

mu

the population mean.

Details

Given \{x_1,\ldots,x_n\} a sample of a random variable, the standard deviation estimator when the population mean (denoted by \mu) is known can be computed as S_\mu=\sqrt{\frac{1}{n}\sum_{i=1}^n (x_i-\mu)^2}.

Value

A single numerical value corresponding with the standard deviation estimation when the population mean is known.

Examples

x=rnorm(20)
Smu(x,mu=0)