5. Renewal Counting Processes
Emanuel Parzen
Abstract
Emanuel Parzen
Abstract
An integer-valued, or counting, process {N(t), t≥0} corresponding to a series of points distributed on the interval 0 to ∞ is said to be a renewal counting process if the inter-arrival times T1,T2,⋯ between successive points are independent identically distributed positive random variables. This chapter discusses some of the basic properties of renewal counting processes.
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An integer-valued, or counting, process {N(t), t≥0} corresponding to a series of points distributed on the interval 0 to ∞ is said to be a renewal counting process if the inter-arrival times T1,T2,⋯ between successive points are independent identically distributed positive random variables. This chapter discusses some of the basic properties of renewal counting processes.
Key concepts: Renewal theory, Counting process, Independent and identically distributed random variables, Mathematics, Series (stratigraphy), Sequence (biology), Stochastic process, Markov renewal process