uni.shrinkage (version 1.0.0)

uni.pt: Shrinkage Estimation for the Univariate Normal Mean based on a Preliminary Test Estimator

Description

This function computes a preliminary test (pretest) estimate for the univariate normal mean. This function also computes the confidence interval based on a pretest estimator.

Usage

uni.pt(y,s,alpha=0.05,gamma=0.05,gamma1=NA,gamma2=NA,conf.int=TRUE)

Value

Sample_mean

Sample mean of y

PT

Pretest estimator for the normal mean based on y

Lower.pivotCI

Lower limit of the confidence interval

Upper.pivotCI

Upper limit of the confidence interval

Arguments

y

A vector of normal distributed data

s

Standard deviation of y

alpha

Significance level for the preliminary hypothesis test. This parameter satisfies 0< alpha <1. The default is alpha=0.05.

gamma

A constant that 1-gamma is the confidence level. This constant satisfies 0< gamma <1. The default is gamma=0.05.

gamma1

A constant for the 1-gamma confidence level that satisfies gamma1+gamma2=gamma. This argument is optional.

gamma2

A constant for the 1-gamma confidence level that satisfies gamma1+gamma2=gamma. This argument is optional.

conf.int

An indicator whether confidence interval is in the output or not. The default is conf.int=TRUE

Author

Nanami Taketomi, Takeshi Emura

References

Taketomi N, Shih JH, Emura T.(2024-). Confidence interval for the univariate normal mean based on a pretest estimator.(under review)

Examples

mu=0
s=10
y=rnorm(20,mu,s)
uni.pt(y,s)

mu=1.5
s=10
y=rnorm(20,mu,s)
uni.pt(y,s,alpha=0.10)