Using an approximate kiefer-weiss solution for testing insect population densities |
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| Authors: | M S Mulekar L J Young J H Young |
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| Institution: | (1) Department of Mathematics & Statistics, University of South Alabama, Faculty Court South Room # 3, 36688 Mobile, AL;(2) Department of Biometry, University of Nebraska, 103 Miller Hall, 68583 Lincoln, NE;(3) 2421 S. 78th, 68506 Lincoln, NE |
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| Abstract: | Summary A sequential testing procedure called 2-SPRT for the meanμ of the negative binomial distribution with known exponentk is presented. For any fixedμ
0(μ
1<μ
0<μ
2), the 2-SPRT provides an asymptotic solution to the modified Kiefer-Weiss problem. Determination ofμ
0 such that the test provides an approximate solution to the Kiefer-Weiss problem is described. The behavior of the 2-SPRT
and the Sequential Probability Ratio Test is investigated using Monte Carlo methods. The error probabilities and the average
sample numbers are compared.
All the computations were carried out on the Alabama Supercomputer. |
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