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The Estimation of the Parameters in Logistic Function by the Method of Maximum Likelihood. I

Keijiro Takagi, Yutaka Kasuya

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Abstract

An equation was derived for estimating the parameters, α and β, of a logistic sigmoid curve and maximum response, H, by the maximum likelihood method as follow:enx=cβy/H-ywhere x is the log concentration and H the maximum contraction height.

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What this paper is about

An equation was derived for estimating the parameters, α and β, of a logistic sigmoid curve and maximum response, H, by the maximum likelihood method as follow:enx=cβy/H-ywhere x is the log concentration and H the maximum contraction height.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

An equation was derived for estimating the parameters, α and β, of a logistic sigmoid curve and maximum response, H, by the maximum likelihood method as follow:enx=cβy/H-ywhere x is the log concentration and H the maximum contraction height.

Key concepts: Sigmoid function, Mathematics, Maximum likelihood, Logistic function, Statistics, Likelihood function, Logistic regression, Restricted maximum likelihood

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