| タイトル | Characterizations of linear sufficient statistics |
| 本文（外部サイト） | http://hdl.handle.net/2060/19770012880 |
| 著者（英） | Redner, R.; Decell, H. P., Jr.; Peters, B. C., Jr. |
| 著者所属（英） | Houston Univ. |
| 発行日 | 1976-08-01 |
| 言語 | eng |
| 内容記述 | A necessary and sufficient condition is developed such that there exists a continous linear sufficient statistic T for a dominated collection of totally finite measures defined on the Borel field generated by the open sets of a Banach space X. In particular, corollary necessary and sufficient conditions are given so that there exists a rank K linear sufficient statistic T for any finite collection of probability measures having n-variate normal densities. In this case a simple calculation, involving only the population means and covariances, determines the smallest integer K for which there exists a rank K linear sufficient statistic T (as well as an associated statistic T itself). |
| NASA分類 | STATISTICS AND PROBABILITY |
| レポートNO | 77N19824
NASA-CR-151233
REPT-59 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/182877 |
