scholarly journals An alternating renewal process describes the buildup of perceptual segregation

2015 ◽  
Vol 8 ◽  
Author(s):  
Sara A. Steele ◽  
Daniel Tranchina ◽  
John Rinzel
Keyword(s):  
Renewal Process ◽  
Alternating Renewal Process

scholarly journals Homogeneous Discrete Time Alternating Compound Renewal Process: A Disability Insurance Application

2015 ◽  
Vol 2015 ◽  
pp. 1-13
Author(s):  
Guglielmo D’Amico ◽  
Fulvio Gismondi ◽  
Jacques Janssen ◽  
Raimondo Manca
Keyword(s):  
Discrete Time ◽  
Renewal Process ◽  
Real Life ◽  
Disability Insurance ◽  
Insurance Contract ◽  
Compound Renewal Process ◽  
Simple Tool ◽  
Life Problems ◽  
Alternating Renewal Process

Discrete time alternating renewal process is a very simple tool that permits solving many real life problems. This paper, after the presentation of this tool, introduces the compound environment in the alternating process giving a systematization to this important tool. The claim costs for a temporary disability insurance contract are presented. The algorithm and an example of application are also provided.

Waiting-Time for a Large Gap in an Alternating Renewal Process

Technometrics ◽  
1970 ◽  
Vol 12 (3) ◽  
pp. 697-699 ◽  
Author(s):  
Tyler Haynes ◽  
Edward A. Davis
Keyword(s):  
Waiting Time ◽  
Renewal Process ◽  
Alternating Renewal Process

Regenerative processes in the infinite mean cycle case

2001 ◽  
Vol 38 (01) ◽  
pp. 165-179 ◽  
Author(s):  
K. V. Mitov ◽  
N. M. Yanev
Keyword(s):  
Renewal Process ◽  
Limit Theorems ◽  
Domain Of Attraction ◽  
Regenerative Process ◽  
Distribution Functions ◽  
Regenerative Processes ◽  
Alternating Renewal Process ◽  
Different Types ◽  
Mean Cycle ◽  
Regenerative Cycle

A class of non-negative alternating regenerative processes is considered, where the process stays at zero random time (waiting period), then it jumps to a random positive level and hits zero after some random period (life period), depending on the evolution of the process. It is assumed that the waiting time and the lifetime belong to the domain of attraction of stable laws with parameters in the interval (½,1]. An integral representation for the distribution functions of the regenerative process is obtained, using the spent time distributions of the corresponding alternating renewal process. Given the asymptotic behaviour of the process in the regenerative cycle, different types of limiting distributions are proved, applying some new results for the corresponding renewal process and two limit theorems for the convergence in distribution.

scholarly journals Author Correction: Limits of Risk Predictability in a Cascading Alternating Renewal Process Model

2018 ◽  
Vol 8 (1) ◽  
Author(s):  
Xin Lin ◽  
Alaa Moussawi ◽  
Gyorgy Korniss ◽  
Jonathan Z. Bakdash ◽  
Boleslaw K. Szymanski
Keyword(s):  
Renewal Process ◽  
Process Model ◽  
Alternating Renewal Process

On random motions with velocities alternating at Erlang-distributed random times

2001 ◽  
Vol 33 (03) ◽  
pp. 690-701 ◽  
Author(s):  
Antonio Di Crescenzo
Keyword(s):  
Stochastic Process ◽  
Random Process ◽  
Bessel Function ◽  
Real Line ◽  
Renewal Process ◽  
The Real ◽  
Alternating Renewal Process ◽  
Transition Densities ◽  
Random Motions ◽  
Random Times

We analyse a non-Markovian generalization of the telegrapher's random process. It consists of a stochastic process describing a motion on the real line characterized by two alternating velocities with opposite directions, where the random times separating consecutive reversals of direction perform an alternating renewal process. In the case of Erlang-distributed interrenewal times, explicit expressions of the transition densities are obtained in terms of a suitable two-index pseudo-Bessel function. Some results on the distribution of the maximum of the process are also disclosed.

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