Akamine, T. (1989). An interval estimation for extraction using Bayesian statistics.
Zusammenfassung: The statistical model for extraction is a binomial distribution. The conventional method for employing this binomial model is based on approximation to a normal distribution. The Bayesian statistical method, which assumes that the prior distribution of parameters is uniform, is preferable to the conventional method, and two theorems demonstrate that this model corresponds well with the conventional method. Furthermore, this model is simpler to understand and easier to calculate by micro-computer than the conventional method.
Schlüsselwörter: Bayesian, normalverteilung, binominal, statistik, theorie, algorithmus, listing, basic
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Akamine, T. (1990). An interval estimation of Leslie's method in removal methods.
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.
Schlüsselwörter: Fisch, statistik, binominal, population, basic, listing, modell, methode
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Akamine, T. (1993). A new standard formula for seasonal growth of fish in population dynamics (Vol. 59).
Zusammenfassung: This formula is based on the Richards formula, which includes well-known growth formulae, and is invariant for allometry. It is expanded by exchanging the independent variable from time to its function, in other words the cumulative water temperature. This standard formula includes the method of substituting values for the cumulative water temperature into the time term, the mathematical model of adding sine functions to the time term, and switched growth rate models. This standard model is given by general theory, which makes the character of parameters clear and helps to analyze the growth formula statistically.
Schlüsselwörter: Fisch, wachstum, statistik, modell, population, theorie
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Akamine, T., Kishino, H., & Hiramatsu, K. (1992). Non-biased interval estimation of Leslie's removal method.
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.
Schlüsselwörter: Fisch, statistik, modell, binominal, population, basic, listing
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Akamine, T., & Matsumiya, Y. (1992). Mathematical analysis of age-length key method for estimating age composition from length composition.
Zusammenfassung: In mathematics, the age-length key method is an estimating method for the ratio of each distribution in a mixture of distributions. Although the maximum likelihood method is the principle of this estimation, this model is a nonlinear model with a restrictive condition. At first, Hasselblad solved this model by using a new iteration method with a computer. Although his method was regarded as the steepest descent method or EM algorithm, it is proved to be an application of Lagrange's indeterminate multiplier method to the iteration method. Nowadays, there are other useful algorithms of optimization, especially Marquardt's method, for this estimation.
Schlüsselwörter: Fisch, statistik, normalverteilung, lÄngenfrequenz, theorie, methode
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Albrecht, H. (1940). Grundfragen des Fischpassbaues (Vol. 20).
Schlüsselwörter: Fisch, Fischaufstiegshilfe
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Albrecht, H. (1981). Die Flußkrebse des westliche Kärnten (Vol. 171).
Schlüsselwörter: Krebs, Flusskrebs, Astacus astacus, Kartierung
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Albrecht, H. (1982). Das System der europäischen Flusskrebse (Decapoda, Astacidae): Vorschlag und Begründung (Vol. 79).
Schlüsselwörter: Krebs, Systematik, Flusskrebs
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Albrecht, H. (1983). Besiedlungsgeschichte und ursprünglich holozäne Verbreitung der europäischen Flußkrebse (Vol. 6).
Schlüsselwörter: Krebs, Verbreitung, Historisch, Holozän, Pleistozän, Tertiär,
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Albrecht, H. (1983). Die Prostastacidae n. fam., fossile Vorfahren der Flusskrebse? (Vol. 1983).
Schlüsselwörter: Krebs, Prähistorisch, Systematik
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