Lesson plan
Counting process
A counting process is a stochastic process \{N(t), t\geq0\} with values that are non-negative, integer, and non-decreasing: # N(t)\geq0. # N(t) is an integer. # If s\leq t then N(s)\leq N(t). If s , 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. Counting processes deal with the number of occurrences of something over time. An example of a counting process is the number of job arrivals to a queue over time. If a process has the Markov property, it is said to be a Markov counting process.
Article summary
A counting process is a stochastic process \{N(t), t\geq0\} with values that are non-negative, integer, and non-decreasing: # N(t)\geq0. # N(t) is an integer. # If s\leq t then N(s)\leq N(t). If s , 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. Counting processes deal with the number of occurrences of something over time. An example of a counting process is the number of job arrivals to a queue over time. If a process has the Markov property, it is said to be a Markov counting process.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.