Abstract

The quantum hypothesis proposes that a binomial distribution should fit the amplitude distribution for synaptic potentials. Since importance is now being attached to significant changes in the n and p parameters of the binomial model during various treatments of synaptic preparations, this paper describes an important extension of the method of moments which can be used to extract binomial parameters in difficult experimental circumstances. Essentially, the skewness (third moment) of the observed amplitude distribution of synaptic responses is used to provide the additional information needed in cases where spontaneous miniature responses are absent. Computer simulations are used to assess the reliability of the proposed new estimators. The estimator bias due to non-uniform unit responses is also evaluated. Other applications of the extended method of moments, including a new test of the binomial hypothesis, are also described.

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