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Details for article 7 of 7 found articles
| Title: |
Parameter estimations in a minimum-type scheme |
| Author: |
Friedman, L. Gertsbakh, I. |
| Appeared in: |
Communications in statistics |
| Paging: | Volume 10 (1981) nr. 5 pages 439-462 |
| Year: |
1981 |
| Contents: |
This paper deals with parameter estimations when a sample is drawn from a population having a minimum-type distribution function (DF) [image omitted] . We propose a simple method to estimate one of the parameters of θi. The sample size s is randomly subdivided into m equal subsamples, (each subsample of size k); the minimal value τq is found in each subsample and the estimator [image omitted] is used. It turnsout that under certain conditions concerning only the behavior of F1(x,θi) near x=0[image omitted] is an asymptotically unbiased (as k→ ∞) and consistent (as s/k → ∞) estimator of only one unknown parameter, for example θ1. A numerical example based on simulation of 200 samples with s = 24, 48, 96 is considered for F1(x, θ1) - the exponential function and F2 - the Weibull DF.The results of our method are summarized in Tables I-IV fromwhich we deduce the characters of our estimator. We tried to improve our estimator θ1 by jackknifing, and show the improvement in a numerical example. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 7 of 7 found articles
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