Akamine, T. (1985). Consideration of the BASIC Programs to Analyse the Polymodal Frequency Distribution into Normal Distribution (Vol. 35).
Schlüsselwörter: Maximum-likeli, poly-verteilung, normalverteilung, marquardt, statistik, basic, listing, theorie, algorithmus
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Akamine, T. (1985). Consideration of the BASIC programs to analyse the polymodal frequency distribution into normal distributions.
Zusammenfassung: BASIC programs to analyse the polymodal frequency distribution into normal distributions were studied and a Maximum-Likelihood program was compared with a Least-Squares program and its variations. The Maximum-Likehood method is the most suitable procedure for the problem. The X super(2) minimum method is more suitable than the Least-Squares method for normal data, but the latter is more suitable than the former for abnormal data which have a few separate parts at the end of a distribution. These methods are easy to apply for a good estimation. Parameters are stable where an obvious minimal value is recognized between neighboring distributions, but the confidence intervals of the parameters are larger than for the parts where it is not recognized.
Schlüsselwörter: LÄngenfrequenz, methode, fischerei, basic, listing, statistik, mathematik, normalverteilung, modell, algorithmus
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Akamine, T. (1984). The BASIC program to analyse the polymodal frequency distribution into normal distributions with Marqualdt's method.
Zusammenfassung: The BASIC program for analysis of the polymodal frequency distribution into normal distributions is described. The algorithm of this program is Marqualdt's method. Gauss' elimination method is used to solve the simultaneous linear equations. Each parameter is scaled during calculation for faster convergence. User inputs the data and initial values of the parameters. It is adequate for convergence to set lambda = 10000 or larger.
Schlüsselwörter: computer-programs, size-distribution, frequency-analysis, mathematical-models
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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. (1991). Microsofts Fünfte.
Schlüsselwörter: Software, test
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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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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). Besiedlungsdichte und ursprünglich holozäne Verbreitung der europäischen Flußkrebse (Decapoda: Astacidae) (Vol. 6).
Schlüsselwörter: Krebs, Verbreitung, Vorkommen, Geographisch
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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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