Estimation of Parameters in Mixtures of Distributions Arising in Cultivation Problems

✍ Scribed by Prof. Dr. H. Läuter

• Publisher: John Wiley and Sons
• Year: 1982
• Tongue: English
• Weight: 421 KB
• Volume: 24
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710240205

✦ Synopsis

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 σ^2^ 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.