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- Counting_process abstract "A counting process is a stochastic process {N(t), t ≥ 0} with values that are positive, integer, and increasing: N(t) ≥ 0. N(t) is an integer. If s ≤ t then N(s) ≤ N(t).If s < t, then N(t) − N(s) is the number of events occurred during the interval [s, t ]. Examples of counting processes include Poisson processes and Renewal processes.Because of the third property, a counting process is increasing and hence a submartingale. Then by Doob-Meyer, it can be written as with a martingale M(t) and a predictable increasing process A(t). The martingale M(t) is called the martingale associated with the counting process N(t) and the predictable process A(t) is called the cumulative intensity of the counting process N(t).Counting processes deal with the number of various outcomes in a system over time. An example of a counting process is the number of occurrences of "heads" over some number of coin tosses. If a process has the Markov property, it is said to be a Markov counting process.".
- Counting_process wikiPageID "20814853".
- Counting_process wikiPageRevisionID "575985182".
- Counting_process hasPhotoCollection Counting_process.
- Counting_process subject Category:Statistical_terminology.
- Counting_process subject Category:Stochastic_processes.
- Counting_process type Abstraction100002137.
- Counting_process type Cognition100023271.
- Counting_process type Concept105835747.
- Counting_process type Content105809192.
- Counting_process type Hypothesis105888929.
- Counting_process type Idea105833840.
- Counting_process type Model105890249.
- Counting_process type PsychologicalFeature100023100.
- Counting_process type StochasticProcess113561896.
- Counting_process type StochasticProcesses.
- Counting_process comment "A counting process is a stochastic process {N(t), t ≥ 0} with values that are positive, integer, and increasing: N(t) ≥ 0. N(t) is an integer. If s ≤ t then N(s) ≤ N(t).If s < t, then N(t) − N(s) is the number of events occurred during the interval [s, t ]. Examples of counting processes include Poisson processes and Renewal processes.Because of the third property, a counting process is increasing and hence a submartingale.".
- Counting_process label "Counting process".
- Counting_process label "Proces liczący".
- Counting_process sameAs Proces_liczący.
- Counting_process sameAs m.055y4vr.
- Counting_process sameAs Q11827313.
- Counting_process sameAs Q11827313.
- Counting_process sameAs Counting_process.
- Counting_process wasDerivedFrom Counting_process?oldid=575985182.
- Counting_process isPrimaryTopicOf Counting_process.