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Empirical Bayes Procedure for Selecting the Best Exponential Population
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lai, Yao-Tsung |
| Copyright Year | 2004 |
| Abstract | Assume that there are k ( 2 ≥ k ) populations k π π , , 1 L such that the distribution of i π is an exponential distribution with parameter i θ , k i , , 1L = . Let 0 θ and 0 δ be two given controls. We would like to identify the best population whose parameter is mostly closed to 0 θ from the qualified subset which is a set that includes populations whose relevant parameter lies between 0 θ and 0 θ + 0 δ . It is clear that this article will involve a parameter and three criteria when exploring the problem of selection. This research is based on the framework of Bayes, using empirical Bayes approach to solve the selection problem. Our main consideration here is to select the so-called best population among the k populations with exponential distribution. The relevant empirical Bayes decision rule has been presented and proven to be asymptotically optimal. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://ir.lib.au.edu.tw/dspace/bitstream/987654321/2173/1/cm05-pa2004_lai_01-0001-u.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
