View source: R/612.Empirical_x.R
empericalBAx | R Documentation |
The empirical Bayesian approach for Beta-Binomial model given x
empericalBAx(x, n, alp, sL, sU)
x |
- Number of successes |
n |
- Number of trials |
alp |
- Alpha value (significance level required) |
sL |
- Lower support for MLE stats::optimization |
sU |
- Upper support for MLE stats::optimization |
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.
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 |
[1] 1998 Lehmann EL and Casella G Theory of Point Estimation, 2nd ed Springer, New York
Other Miscellaneous functions for Bayesian method:
empericalBA()
,
probPOSx()
,
probPOS()
,
probPREx()
,
probPRE()
sL=runif(1,0,2) #Lower and upper of Support for MLE stats::optimization sU=runif(1,sL,10) x=0; n= 5; alp=0.05 empericalBAx(x,n,alp,sL,sU)
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