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Autor |
Akamine, T. |
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Titel |
An interval estimation of Leslie's method in removal methods |
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Zeitschrift, Artikel |
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Jahr |
1990 |
Publikation |
Bull. Japan Sea Natl. Fish. Res. Inst. Nissuiken Hokoku |
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Ausgabe |
40 |
Seiten |
27-49 |
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Schlüsselwörter |
Fisch, statistik, binominal, population, basic, listing, modell, methode |
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Zusammenfassung |
Leslie's method in removal methods is modeled into the joint of the binomial distributions. An interval estimation of p (removal ratio) and n (initial population size) based on the null hypothesis for p and n is easily obtained by the approximation of each binomial distribution to the normal distribution. The confidence region on the (p, n) plane is easily obtained by micro-computers. The maximum likelihood method for a point estimation and the convenient method on the curves of partial maximum likelihood for an interval estimation are also presented. |
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nein |
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Rufnummer |
451 |
Signatur |
2255 |
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Permalink für diesen Eintrag |
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Autor |
Akamine, T.; Kishino, H.; Hiramatsu, K. |
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Titel |
Non-biased interval estimation of Leslie's removal method |
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Zeitschrift, Artikel |
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Jahr |
1992 |
Publikation |
Bull. Japan Sea Natl. Fish. Res. Inst. Nissuiken Hokoku |
Kurztitel der Zeitschrift |
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Ausgabe |
42 |
Seiten |
25-39 |
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Schlüsselwörter |
Fisch, statistik, modell, binominal, population, basic, listing |
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Zusammenfassung |
Leslie's removal method, which is used to estimate the initial population size and the removal ratio simultaneously, is modeled in terms of the product of binomial distributions. The approximation of these binomial distributions to the standard normal distribution presents a new method which has no bias for estimators. This is an improvement over the maximum likelihood method and the likelihood ratio test, and is essentially equivalent to a standard goodness-of-fit test. The confidence region on the 2-dimensional plane defined by the initial population size and the removal ratio gives each confidence interval. This region is defined by the chi-square distribution with 2 degrees of freedom. |
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Geprüft |
nein |
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Rufnummer |
452 |
Signatur |
2256 |
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Permalink für diesen Eintrag |