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Details van artikel 5 van 9 gevonden artikelen
| Titel: |
On a two stage shrinkage testimator of the mean of a normal distribution |
| Auteur: |
Waikar, V.B. Schuurmann, F.J. Raghunathan, T.E. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 13 (1984) nr. 15 pagina's 1901-1913 |
| Jaar: |
1984 |
| Inhoud: |
Let X be distributed normally with unknown mean μ and known variance σ2. Further, it is assumed that prior knowledge about μ is available in the form of an initial estimate μ0 of μ. It A is proposed to estimate the unknown mean by a testimator [image omitted] that is based upon the result of a test of the hypothesis [image omitted] If H0 is accepted based on the first sample of size n1 we take [image omitted] where the weighing factor k is a function of the test statistic for testing H0. However, if H0 is rejected, we obtain a second sample of size n2, and take [image omitted] . Choosing [image omitted] an expression for the mean square error of [image omitted] is derived and comparisons are made with variance of a single sample mean. The case when the variance σ2 is unknown is also considered. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 5 van 9 gevonden artikelen
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