dataTMEHB: Sample Data for Small Area Estimation with Measurement Error...

In saeHB.ME: Small Area Estimation with Measurement Error using Hierarchical Bayesian Method

Sample Data for Small Area Estimation with Measurement Error using Hierarchical Bayesian Method under Student-t Distribution

Description

This data generated by simulation based on Hierarchical Bayesian Method under Student-t Distribution with Measurement Error by following these steps:

1. Generate x_{1} ~ UNIF(10, 20) and x_{2} ~ UNIF(30,50)

2. Generate v.x_{1} ~ 1/(Gamma(1,1))

3. Generate x_{1h} ~ N(x_{1}

4. Generate \beta_{0} = \beta_{1} = \beta_{2} = 0.5

5. Generate u ~ N(0,1) and k ~ Gamma(10,1)

6. Calculate \mu = \beta_{0} + \beta_{1}*x_{1h} + \beta_{2}*x_{2h} + u

7. Generate Y ~ t(k, \mu)) and v = \sigma_{y}^{2}

Direct estimation Y, auxiliary variables x1 x2 x3 x4, sampling variance v, and mean squared error of auxiliary variables v.x1 v.x2 are arranged in a dataframe called dataTMEHB.

Usage

data(dataTMEHB)

Format

A data frame with 30 observations on the following 8 variables.

Y

direct estimation of Y.

x1

auxiliary variable of x1.

x2

auxiliary variable of x2.

vardir

sampling variances of Y.

v.x1

mean squared error of x1.

saeHB.ME documentation built on Aug. 21, 2023, 9:11 a.m.