Title Special Lecture of Mathematics for Fish Stock Analysis
Authers Tatsuro AKAMINE
Citation Bull. Fish. Res. Agen. No.38, 43-59, 2014
Abstract
There are some mistakes for the negative binomial distribution and the log-binomial distribution in the economy and the ecology. The corrections of these are presented, and the Bayesian statistical methods using the highest density region and the probability matching prior distribution are explained. The mathematics that are the quadrat method, the hypergeometric distribution, the random walk model, the gamma and beta functions, the chi-squared distribution, are explained. These are backgrounds of statistical method of fisheries science, and knowledge of these helps us to study fish stock analysis.
URI http://www.fra.affrc.go.jp/bulletin/bull/bull38/38-02.pdf