empericalBAx: The empirical Bayesian approach for Beta-Binomial model given...

In proportion: Inference on Single Binomial Proportion and Bayesian Computations

Description

The empirical Bayesian approach for Beta-Binomial model given x

Usage

empericalBAx(x, n, alp, sL, sU)

Arguments

x	- Number of successes
n	- Number of trials
alp	- Alpha value (significance level required)
sL	- Lower support for MLE optimization
sU	- Upper support for MLE optimization

Details

Highest Probability Density (HPD) and two tailed intervals are provided for the required x (any one value from 0, 1, 2 ..n) based on empirical Bayesian approach for Beta-Binomial model. Lower and Upper support values are needed to obtain the MLE of marginal likelihood for prior parameters.

Value

A dataframe with

x	- Number of successes (positive samples)
pomean	- Posterior mean
LEBAQ	- Lower limits of Quantile based intervals
UEBAQ	- Upper limits of Quantile based intervals
LEBAH	- Lower limits of HPD intervals
UEBAH	- Upper limits of HPD intervals

References

[1] 1998 Lehmann EL and Casella G Theory of Point Estimation, 2nd ed Springer, New York

See Also

Other Miscellaneous functions for Bayesian method: empericalBA, probPOSx, probPOS, probPREx, probPRE

Examples

sL=runif(1,0,2)				#Lower and upper of Support for MLE optimization
sU=runif(1,sL,10)
x=0; n= 5; alp=0.05
empericalBAx(x,n,alp,sL,sU) 

proportion documentation built on May 1, 2019, 7:54 p.m.