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Sequences of Improved Two-Sided Bounds for the Renewal Function and the Solutions of Renewal-Type Equations
Renewal-type and renewal equations usually do not have analytical solutions, and hence bounds for the functions satisfying such equations have a...
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Two-sided Bounds for Renewal Equations and Ruin Quantities
In this paper, the objective is to provide sequences of improved non-increasing (non-decreasing) upper (lower) bounds for the solution of (defective)...
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A Semi-Markov Model with Geometric Renewal Processes
We consider a repairable system modeled by a semi-Markov process (SMP), where we include a geometric renewal process for system degradation upon...
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Analysis of Renewal Batch Arrival Queues with Multiple Vacations and Geometric Abandonment
We investigate the dynamics of customer geometric abandonment within a queueing framework characterized by renewal input batch arrivals and multiple...
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Memory of Distributions: A Renewal Theoretic Approach
Here we propose a new definition of memory of distributions in a renewal-theoretic framework and study the corresponding notions of ageing and...
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Asymptotics for a Bidimensional Renewal Risk Model with Subexponential Main Claims and Delayed Claims
This paper considers a bidimensional renewal risk model with main claims and delayed claims. Concretely, suppose that an insurance company...
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A Flexible Generalized Poisson Likelihood for Spatial Counts Constructed by Renewal Theory, Motivated by Groundwater Quality Assessment
In recent years, the availability of spatial count data has massively increased. Due to the ubiquity of over- or under-dispersion in count data, we...
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Markovian Arrival Process Subject to Renewal Generated Binomial Catastrophes
This paper investigates a population model which grows as per the Markovian arrival process and is influenced by binomial catastrophes that occur...
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The semiparametric accelerated trend-renewal process for recurrent event data
Recurrent event data arise in many biomedical longitudinal studies when health-related events can occur repeatedly for each subject during the...
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Ruin and Dividend Measures in the Renewal Dual Risk Model
In this manuscript we consider the dual risk model with financial application, where the random gains occur under a renewal process. We particularly...
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Accelerating the estimation of renewal Hawkes self-exciting point processes
The renewal Hawkes process is a nascent point process model that generalizes the Hawkes process. Although it has shown strong application potential,...
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Non-parametric test for decreasing renewal dichotomous Markov noise shock model
Sepehrifar and Yarahmadian (Stat Pap 58:1115–1124, 2017) had developed a non-parametric test for testing exponentiality against decreasing renewal...
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Second Order Asymptotics for Infinite-Time Ruin Probability in a Compound Renewal Risk Model
Consider a compound renewal risk model, in which a single accident may cause more than one claim. Under the condition that the common distribution of...
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Estimation of component reliability from superposed renewal processes by means of latent variables
We present a new way to estimate the lifetime distribution of a reparable system consisted of similar (equal) components. We consider as a reparable...
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On degradation-based imperfect repair and induced generalized renewal processes
In this paper, we suggest and justify a new, basic approach to modelling the imperfect repair and the corresponding imperfect repair processes for...
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Assessment of Distributional Goodness-of-Fit for Modeling the Superposition of Renewal Process Data
Parametric maximum likelihood methods can be used to estimate the renewal distribution based on aggregate data from superpositions of a group of...
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Exact Results and Bounds for the Joint Tail and Moments of the Recurrence Times in a Renewal Process
The best known result about the joint distribution of the backward and forward recurrence times in a renewal process concerns the asymptotic behavior...
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Maximum Likelihood Estimation for an Inhomogeneous Gamma Process with a Log-linear Rate Function
An inhomogeneous gamma process is a compromise between a renewal process and a nonhomogeneous Poisson process, since its failure probability at a...