Search
Search Results
-
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...
-
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)...
-
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...
-
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...
-
-
-
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...
-
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...
-
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...
-
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...
-
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...
-
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...
-
A Renewal Generated Geometric Catastrophe Model with Discrete-Time Markovian Arrival Process
Any event that results in sudden change of the normal functioning of a system may be thought of as a catastrophe. Stochastic processes involving...
-
Beautiful Gini
You may very well be familiar with the Gini Coefficient, also known as the Gini index: a quantitative gauge with which socioeconomic inequality is...
-
Inference for continuous-time long memory randomly sampled processes
From a continuous-time long memory stochastic process, a discrete-time randomly sampled one is drawn using a renewal sampling process. We establish...
-
On Survival of Coherent Systems Subject to Random Shocks
We consider coherent systems subject to random shocks that can damage a random number of components of a system. Based on the distribution of the...
-
Reducing degradation and age of items in imperfect repair modeling
We develop new models for imperfect repair and the corresponding generalized renewal processes for stochastic description of repairable items that...
-
-
Limit theorems for branching processes with immigration in a random environment
We investigate branching processes with immigration in a random environment. Using Goldie’s implicit renewal theory we prove that under a generalized...
-
Screening for chronic diseases: optimizing lead time through balancing prescribed frequency and individual adherence
Screening for chronic diseases, such as cancer, is an important public health priority, but traditionally only the frequency or rate of screening has...
