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Random Counts and Counting Processes
2019We now turn our attention to the population level dynamics and ask phenomenological questions. First, many important measures in the study of infectious diseases are count variables N, taking integer values n = 0, 1, 2, ….
Ping Yan, Gerardo Chowell
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Journal of Mathematical Physics, 1977
It is proposed that counting experiments in quantum physics should be analyzed in terms of point processes (QPP) defined in the framework of quantum probability theory. A coincidence approach is developed for a class QPP called the regular QPP. A counting formula is derived which determines completely the counting statistics of a regular QPP by means ...
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It is proposed that counting experiments in quantum physics should be analyzed in terms of point processes (QPP) defined in the framework of quantum probability theory. A coincidence approach is developed for a class QPP called the regular QPP. A counting formula is derived which determines completely the counting statistics of a regular QPP by means ...
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Theory of electron-counting processes
Physical Review A, 1994A theory of electron-counting processes is formulated in terms of the Liouville space method. The developed model is based on the quantum Markov processes developed by Davies and Srinivas. The time evolution of an electron system interacting with an electron counter and the counting probability distribution are investigated.
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Mixed causal-noncausal count process
TESTzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian Pei, Yang Lu, Fukang Zhu
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Journal of Applied Probability, 1993
We consider a bivariate Markov counting process with transition probabilities having a particular structure, which includes a number of useful population processes. Using a suitable random time-scale transformation, we derive some probability statements about the process and some asymptotic results.
Watson, Ray, Yip, Paul
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We consider a bivariate Markov counting process with transition probabilities having a particular structure, which includes a number of useful population processes. Using a suitable random time-scale transformation, we derive some probability statements about the process and some asymptotic results.
Watson, Ray, Yip, Paul
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Model-based Clustering of Count Processes
Journal of Classification, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ng, Tin L, Murphy, Thomas
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1995
Abstract In this part, we shall look at dependent events. These will usually be events occurring to the same individual unit, instead of to independently sampled units, as was the case for the frequencies of events in the first part. Often a sequence of events over time will be available.
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Abstract In this part, we shall look at dependent events. These will usually be events occurring to the same individual unit, instead of to independently sampled units, as was the case for the frequencies of events in the first part. Often a sequence of events over time will be available.
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Shock models by underlying counting process
Journal of Applied Probability, 1994Suppose that a device is subjected to shocks governed by a counting process N = {N(t), t ≧0}. The probability that the device survives beyond time t is then H̄(t)=Σk=0∞Q̄ℙ[N(t)=k], where Q̄k is the probability of surviving k shocks. It is known that H is NBU if the interarrivals Uk, ∊ ℕ+, are independent and NBU, and Q̄k+j ≦ Q̄k· Q̄j holds whenever k ...
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Counting processes and counting codes
1973Counting circuits with relays and counting circuits with electronic components are different implementations of the same ideas. Counters in these two rather different types of hardware can even be based on the same counting code, the same set of switching equations and represented by the same symbolic circuit.
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