A filtered ASTA property
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Publication:1201823
DOI10.1007/BF01164002zbMath0762.60090OpenAlexW2008437796MaRDI QIDQ1201823
Shaler jun. Stidham, Muhammad El-Taha
Publication date: 17 January 1993
Published in: Queueing Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01164002
point processesPASTA propertycoincidence of embedded and non-embedded stationary distributionssufficient and necessary for the coincidence property
Queueing theory (aspects of probability theory) (60K25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
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- Conditional PASTA
- Some theorems on conditional Pasta: A stochastic integral approach
- Characteristics of queueing systems observed at events and the connection between stochastic intensity and Palm probability
- EPSTA: The coincidence of time-stationary and customer-stationary distributions
- Sample-path analysis of processes with imbedded point processes
- On the identification of Poisson arrivals in queues with coinciding time-stationary and customer-stationary state distributions
- On arrivals that see time averages: a martingale approach
- Further results on ASTA for general stationary processes and related problems
- Extended and conditional versions of the PASTA property
- On Arrivals That See Time Averages
- A Note on PASTA and Anti-PASTA for Continuous-Time Markov Chains
- An Anti-PASTA Result for Markovian Systems
- On the “pasta” property and a further relationship between customer and time averages in stationary queueing systems
- Poisson Arrivals See Time Averages
- Event and time averages: a review
- Poisson functionals of Markov processes and queueing networks
- Regenerative processes in the theory of queues, with applications to the alternating-priority queue
