| Abstract: | In many processes one has to describe events in which given particles or elements divide themselves so that these elements are to observe only after the division. In biological problems one meets such a situation i.e. in the cultivation of bacteria. In this paper we investigate a mathematical model which describes such a phenomenon. We give estimators for the expectation μ and the variance σ2 of the distribution of the undivided particles. Therefore we give a best linear unbiased estimator for μ and an estimator μ where a clustering of the observation is essentially. In an example for the judgment of a cultivation method we demonstrate the given estimation procedures. |
