# tong_mean_shrinkage: Tong et al. (2012)'s Lindley-type Shrunken Mean Estimator

### Description

An implementation of the Lindley-type shrunken mean estimator utilized in shrinkage-mean-based diagonal linear discriminant analysis (SmDLDA).

### Usage

 1 tong_mean_shrinkage(x, r_opt = NULL) 

### Arguments

 x a matrix with n rows and p columns. r_opt the shrinkage coefficient. If NULL (default), we calculate the shrinkage coefficient with the formula given just above Equation 5 on page 533 and denoted by \hat{r}_{opt}. We allow the user to specify an alternative value to investigate better approximations.

### Value

vector of length p with the shrunken mean estimator

### References

Tong, T., Chen, L., and Zhao, H. (2012), "Improved Mean Estimation and Its Application to Diagonal Discriminant Analysis," Bioinformatics, 28, 4, 531-537. http://bioinformatics.oxfordjournals.org/content/28/4/531.long

Questions? Problems? Suggestions? or email at ian@mutexlabs.com.

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