| Автор | Guttman, Irwin |
| Автор | Menzefricke, Ulrich |
| Дата выпуска | 1983 |
| dc.description | Suppose there are r normal populations with common mean θ but possibly different precisions τ <sub>i</sub> i=l,…, r. The prior distribution for τ<sub>i</sub>. is taken to be a gamma distribution and that for θ is a t-distribution. Combining this prior information with independent observations from the r populations, the posterior distribution for θ is proportional to the product of (r+1) t-distributions. A main objective of this paper is to approximate this posterior, and we represent it as an infinite series whose first term is a normal distribution. The mean of θ and probabilities for intervals are obtained from a similar series. |
| Формат | application.pdf |
| Издатель | Marcel Dekker, Inc. |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | product of t-distribution |
| Тема | common mean |
| Тема | series expansion |
| Название | Estimating the common mean of r normal populations with different precisions |
| Тип | research-article |
| DOI | 10.1080/03610928308828521 |
| Electronic ISSN | 1532-415X |
| Print ISSN | 0361-0926 |
| Журнал | Communications in Statistics - Theory and Methods |
| Том | 12 |
| Первая страница | 1147 |
| Последняя страница | 1159 |
| Аффилиация | Guttman, Irwin; University of Toronto |
| Аффилиация | Menzefricke, Ulrich; University of Toronto |
| Выпуск | 10 |
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