Order restricted estimation of distributions with censored data (Q1116585)
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scientific article; zbMATH DE number 4090589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Order restricted estimation of distributions with censored data |
scientific article; zbMATH DE number 4090589 |
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Order restricted estimation of distributions with censored data (English)
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1989
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Consider a finite population of hidden objects, and consider searching for them for one unit of time. Suppose that both the size and the discovery time of the objects have unknown distributions, and that the conditional distribution of time given size is exponential with an unknown non-negative and non-decreasing function of the size as the failure rate. Order restricted M.L.E.'s are derived for this function, other parameters are estimated, and the consistency of the estimates is shown.
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maximum likelihood estimation
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order restriction
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least concave majorant
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finite population of hidden objects
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consistency
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