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Waiting for Scans Containing Two Successes
In the present chapter, we present a review of results pertaining to the distribution of waiting times for the occurrence(s) of scans of type 2∕r in...
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Equilibrium Queueing Strategies in M/G/1 Queues with the Reference Time Effect
Waiting is a major factor influencing the perception of delay-sensitive customers in the service industry. In the process of queueing, some customers...
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Waiting for Scans Containing Two Successes
In the present chapter, we present a review of results pertaining to the distribution of waiting times for the occurrence(s) of scans of type 2∕r in...
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Queue-Length, Waiting-Time and Service Batch Size Analysis for the Discrete-Time GI/D-MSP\(^{\text {(a,b)}}/1/\infty \) Queueing System
This paper analyzes an infinite-buffer single-server bulk-service queueing system in which customers arrive according to a discrete-time renewal...
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An Inhomogeneous Weibull–Hawkes Process to Model Underdispersed Acoustic Cues
A Hawkes point process describes self-exciting behaviour where event arrivals are triggered by historic events. These models are increasingly...
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Replacement model with random replacement time
In this paper, we study a replacement model under which replacements take place not at fixed time but at random time T or upon failure. We study the...
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Analysis of a Discrete-time Queue with Modified Batch Service Policy and Batch-size-dependent Service
We consider a discrete-time single server batch service queue, with a modified bulk service rule, where jobs will process in batches with a minimum...
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Analysis of the Mt/M/1 Queueing System with Impatient Customers and Single Vacation
We consider an M t /M/1 queueing system with impatient customers and a single vacation, assuming the customers’ impatience is due to the server’s...
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On Generating Families of Power Quantile Distributions for Modeling Waiting and Repair Times Data
In this study, we introduce a new rich family of distributions defined by a simple power quantile function. We discuss some of its interesting...
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Statistical and probabilistic analysis of interarrival and waiting times of Internet2 anomalies
Motivated by the need to introduce design improvements to the Internet network to make it robust to high traffic volume anomalies, we analyze...
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Remaining Loads in a PH/M/c Queue with Impatient Customers
There are three contributions to the literature in this note. Firstly, we point out that under some weak conditions the result in Swensen (
1986 ) on...
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Statistical Challenges for Causal Inference Using Time-to-Event Real-World Data
Real-world data (RWD) have been increasingly used in drug development, e.g., for indirect comparisons of treatments in real-world settings and...
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Complex-Valued Time Series Models and Their Relations to Directional Statistics
The fluctuation of stationary time series often shows a certain periodic behavior and this pattern is usually summarized via a spectral density....
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Performance and Optimization Analysis of a Queue with Delayed Uninterrupted Multiple Vacation and N-Policy
This paper considers an M / G /1 queue with delayed uninterrupted multiple vacation and N -policy, in which (i) the server remains dormant from vacation...
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Shocks, Scans, and Reliability Systems
This chapter summarizes the close connection between one of the widely studied shock models known as δ-shock model and runs/scans. Under discrete...
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Shocks, Scans, and Reliability Systems
This chapter summarizes the close connection between one of the widely studied shock models known as δ-shock model and runs/scans. Under discrete...
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On the estimation of partially observed continuous-time Markov chains
Motivated by the increasing use of discrete-state Markov processes across applied disciplines, a Metropolis–Hastings sampling algorithm is proposed...
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Continuous-Time Markov Chain Modeling
As we mentioned earlier, the Russian mathematician Andrei Andreyevich Markov (1856–1922) introduced sequences of values of a random variable in which...