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| Titel: |
On constructing sequences estimating the mixing distribution with applications |
| Auteur: |
Phillips, Robert F. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 19 (1990) nr. 2 pagina's 705-720 |
| Jaar: |
1990 |
| Inhoud: |
This paper shows that by minimizing a Chebychev norm a mixing distribution can be constructed which converges weakly to the true mixing distribution with probability one. Deely and Kruse (1968) established a similar result for the supremum norm. For both norms the constructed mixing distribution is computed by solving a linear programming problem, but this problem is considerably smaller when the Chebychev norm is used. Thus a suitable mixing distribution can be constructed from solving a linear programming problem with considerably less computational work than was previously known. To illustrate the application of this simpler procedure it is applied to derive nonparametric empirical Bayes estimates in a simulation study. Some density estimates are also illustrated. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 14 van 23 gevonden artikelen
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