The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1953 · 18 citations · 0 references
EngineeringMathematicsProbability TheoryStochastic ModelingStochastic ProcessesContinuous-time Stochastic ProcessesCounting ProcessesCounting StatisticsPoisson ProcessesProbability DistributionsCount DistributionsCounting Process ModelsDensity Probability Distribution FunctionEvent Count ModelsRandom Counting ProcessesStochastic Process Distributions
Summary The probability distribution function π(n, t) of the number of registered events n in a time interval t for a counter in the case when the registered and unregistered events are followed by different dead times, is derived by using the method of product densities formulated recently by one of us (R.).