Твірна функція моментів для статистики вихідної активності інтегруючого нейрона з втратами

• Дата: 2021
• Автори: Vidybida, A.K., Shchur, O.V.
• Формат: Стаття
• Мова: English; Ukrainian
• Опубліковано: Publishing house "Academperiodika" 2021
• Теми: iнтегруючий нейрон з втратами; стохастичний процес Пуассона; мiжспайковий iнтервал; моменти функцiї розподiлу; твiрна функцiя моментiв; нейрони; теорія ймовірностей; leaky integrate-and-fire neuron; stochastic Poisson process; interspike interval; moments of probability distribution; moment-generating function; Neurons; Probability theory
• Онлайн доступ: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2020156
• Назва журналу: Ukrainian Journal of Physics

The statistics of the output activity of a neuron during its stimulation by the stream of input impulses that forms the stochastic Poisson process is studied. The leaky integrate-and-fire neuron is considered as a neuron model. A new representation of the probability distribution function of the output interspike interval durations is found. Based on it, the moment-generating function of the probability distribution is calculated explicitly. The latter, according to the Curtiss theorem, completely determines the distribution itself. In particular, explicit expressions are derived from the moment-generating function for the moments of all orders. The first moment coincides with the one found earlier. Formulas for the second and third moments have been checked numerically by direct modeling of the stochastic dynamics of a neuron with specific physical parameters.