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Journal articles on the topic 'Backward recurrence times'

Author: Grafiati

Published: 2 June 2025

Last updated: 19 July 2025

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1

Allison, Paul D. "Survival Analysis of Backward Recurrence Times." Journal of the American Statistical Association 80, no. 390 (1985): 315–22. http://dx.doi.org/10.1080/01621459.1985.10478114.

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2

Keiding, Niels, Jason P. Fine, Oluf H. Hansen, and Rémy Slama. "Accelerated failure time regression for backward recurrence times and current durations." Statistics & Probability Letters 81, no. 7 (2011): 724–29. http://dx.doi.org/10.1016/j.spl.2011.02.009.

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3

Winter, B. B. "Joint simulation of backward and forward recurrence times in a renewal process." Journal of Applied Probability 26, no. 02 (1989): 404–7. http://dx.doi.org/10.1017/s002190020002739x.

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It is shown that, in a renewal process with inter-arrival distributionF,an observation from the asymptotic (whent→∞) joint distribution of backward and forward recurrence times attcan be simulated by simulating an observation of the pair (UW, (1 –U)W), whereUandWare independent random variables withU~ uniform(0, 1) andWdistributed according to the length-biased version ofF.

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4

Winter, B. B. "Joint simulation of backward and forward recurrence times in a renewal process." Journal of Applied Probability 26, no. 2 (1989): 404–7. http://dx.doi.org/10.2307/3214046.

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It is shown that, in a renewal process with inter-arrival distribution F, an observation from the asymptotic (when t →∞) joint distribution of backward and forward recurrence times at t can be simulated by simulating an observation of the pair (UW, (1 – U)W), where U and W are independent random variables with U ~ uniform(0, 1) and W distributed according to the length-biased version of F.

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5

Zelen, Marvin. "Forward and Backward Recurrence Times and Length Biased Sampling: Age Specific Models." Lifetime Data Analysis 10, no. 4 (2004): 325–34. http://dx.doi.org/10.1007/s10985-004-4770-1.

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6

Gakis, K. G., and B. D. Sivazlian. "The correlation of the backward and forward recurrence times in a renewal process." Stochastic Analysis and Applications 12, no. 5 (1994): 543–49. http://dx.doi.org/10.1080/07362999408809372.

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7

Hala, Abbas Laz* Mohamed Gomma Elnour. "RENEWAL PROCESS IN QUEUING PROBLEM AND REPLACEMENT OF MACHINE." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 5, no. 12 (2016): 304–11. https://doi.org/10.5281/zenodo.199493.

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The paper is studying the renewal process. There are many fields in which it’s used for example: the renewable energy (solar energy, wind energy), maintenance and replacement decision models, queuing system and other field in electronics. In this study our objective is to find the probability density function related to a renewal at a given time. Also to drive the renewal equation, how to find the current lifetime and residual life time. We obtain that as expected value of a renewal process which is the renewal function or mean-value function of the renewal process. Also we use the renewal equ

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8

Eliyati, Ning, Sri Indra Maiyanti, Oki Dwipurwani, and Shaly Wanda Hamidah. "MODEL REGRESI COX UNTUK MENGANALISIS PENGARUH FAKTOR ASUPAN MAKANAN TERHADAP RISIKO KEKAMBUHAN ENDOMETRIOSIS." BAREKENG: Jurnal Ilmu Matematika dan Terapan 15, no. 1 (2021): 103–14. http://dx.doi.org/10.30598/barekengvol15iss1pp103-114.

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This research purpose is to analyze the relationship between food intake factors (fruit, soy, milk, caffeine, red meat, garlic, ginger, seafood, cheese, green tea, brown rice, wheat, potatoes, bean sprouts, mustard greens, soft drinks and alcohol) on hazard of endometriosis recurrence, using the Cox proportional hazard model backward method. The results of the food intake factors that significantly reduced the risk of endometriosis recurrence are fruit 1-4 times/week (p-value 0.01), fruit 5-7 1-4 times/week (p-value 0.08), mustard greens 1-7 times/week (p-value 0.006), bean sprouts 3-7 (p-valu

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9

Lam, C. Y. Teresa. "Joint simulation of backward and forward recurrence times in a superposition of independent renewal processes." Journal of Applied Probability 28, no. 4 (1991): 930–33. http://dx.doi.org/10.2307/3214699.

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It is shown that, in a superposition of finitely many independent renewal processes, an observation from the limiting (when t →∞) joint distribution of backward and forward recurrence times at t can be simulated by simulating an observation of the pair (UW, (1 – U)W), where U and Ware independent random variables with U ~ uniform(0, 1) and W distributed according to the limiting total life distribution of the superposition process.

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10

Lam, C. Y. Teresa. "Joint simulation of backward and forward recurrence times in a superposition of independent renewal processes." Journal of Applied Probability 28, no. 04 (1991): 930–33. http://dx.doi.org/10.1017/s002190020004287x.

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It is shown that, in a superposition of finitely many independent renewal processes, an observation from the limiting (when t →∞) joint distribution of backward and forward recurrence times at t can be simulated by simulating an observation of the pair (UW, (1 – U)W), where U and Ware independent random variables with U ~ uniform(0, 1) and W distributed according to the limiting total life distribution of the superposition process.

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11

Cristóbal, José A., José T. Alcalá, and Jorge L. Ojeda. "Nonparametric estimation of a regression function from backward recurrence times in a cross-sectional sampling." Lifetime Data Analysis 13, no. 2 (2007): 273–93. http://dx.doi.org/10.1007/s10985-007-9033-5.

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12

Gakis, K. G., and B. D. Sivazlian. "The use of multiple integrals in the study of the backward and forward recurrence times for the ordinary renewal process." Stochastic Analysis and Applications 10, no. 4 (1992): 409–16. http://dx.doi.org/10.1080/07362999208809279.

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13

Losidis, Sotirios, and Konstadinos Politis. "The covariance of the backward and forward recurrence times in a renewal process: the stationary case and asymptotics for the ordinary case." Stochastic Models 35, no. 1 (2019): 51–62. http://dx.doi.org/10.1080/15326349.2019.1575752.

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14

Baccelli, François, and Serguei Foss. "On the saturation rule for the stability of queues." Journal of Applied Probability 32, no. 2 (1995): 494–507. http://dx.doi.org/10.2307/3215303.

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This paper focuses on the stability of open queueing systems under stationary ergodic assumptions. It defines a set of conditions, the monotone separable framework, ensuring that the stability region is given by the following saturation rule: ‘saturate' the queues which are fed by the external arrival stream; look at the ‘intensity' μ of the departure stream in this saturated system; then stability holds whenever the intensity of the arrival process, say λ satisfies the condition λ < μ, whereas the network is unstable if λ > μ. Whenever the stability condition is satisfied, it is also sh

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15

Baccelli, François, and Serguei Foss. "On the saturation rule for the stability of queues." Journal of Applied Probability 32, no. 02 (1995): 494–507. http://dx.doi.org/10.1017/s0021900200102931.

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This paper focuses on the stability of open queueing systems under stationary ergodic assumptions. It defines a set of conditions, the monotone separable framework, ensuring that the stability region is given by the following saturation rule: ‘saturate' the queues which are fed by the external arrival stream; look at the ‘intensity' μ of the departure stream in this saturated system; then stability holds whenever the intensity of the arrival process, say λ satisfies the condition λ &lt; μ, whereas the network is unstable if λ &gt; μ. Whenever the stability condition is satisfied, it is

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16

Yamaguchi, Kazuo. "4. Accelerated Failure-Time Mover-Stayer Regression Models for the Analysis of Last-Episode Data." Sociological Methodology 33, no. 1 (2003): 81–110. http://dx.doi.org/10.1111/j.0081-1750.2003.t01-1-00128.x.

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This article introduces new models for the analysis of last-episode data—that is, data about the timing of the last occurrence of a repeatable event. The new models are elaborations and extensions of a particular model for backward recurrence times from a renewal process introduced by Allison (1985), and they are accelerated failure-time mover-stayer regression models that permit the separation of covariate effects on event timing from those on event occurrence. Using the data of last residential move from the 1990 Census of Population and Housing, an application of the models, which are found

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17

Anderson, Justin Q., P. A. Praveen Janantha, Diego A. Alcala, Mingzhong Wu, and Lincoln D. Carr. "Physical realization of complex dynamical pattern formation in magnetic active feedback rings." New Journal of Physics 24, no. 3 (2022): 033018. http://dx.doi.org/10.1088/1367-2630/ac47cb.

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Abstract We report the clean experimental realization of cubic–quintic complex Ginzburg–Landau (CQCGL) physics in a single driven, damped system. Four numerically predicted categories of complex dynamical behavior and pattern formation are identified for bright and dark solitary waves propagating around an active magnetic thin film-based feedback ring: (1) periodic breathing; (2) complex recurrence; (3) spontaneous spatial shifting; and (4) intermittency. These nontransient, long lifetime behaviors are observed in self-generated spin wave envelopes circulating within a dispersive, nonlinear yt

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18

Thorisson, Hermann. "On regenerative and ergodic properties of the k-server queue with non-stationary Poisson arrivals." Journal of Applied Probability 22, no. 4 (1985): 893–902. http://dx.doi.org/10.2307/3213956.

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We consider the stable k-server queue with non-stationary Poisson arrivals and i.i.d. service times and show that the non-time-homogeneous Markov process Zt = (the queue length and residual service times at time t) can be subordinated to a stable time-homogeneous regenerative process. As an application we show that if the system starts from given conditions at time s then the distribution of Zt stabilizes (but depends on t) as s tends backwards to –∞. Also moment and stochastic domination results are established for the delay and recurrence times of the regenerative process leading to results

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19

Thorisson, Hermann. "On regenerative and ergodic properties of the k-server queue with non-stationary Poisson arrivals." Journal of Applied Probability 22, no. 04 (1985): 893–902. http://dx.doi.org/10.1017/s0021900200108125.

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We consider the stable k-server queue with non-stationary Poisson arrivals and i.i.d. service times and show that the non-time-homogeneous Markov process Zt = (the queue length and residual service times at time t) can be subordinated to a stable time-homogeneous regenerative process. As an application we show that if the system starts from given conditions at time s then the distribution of Zt stabilizes (but depends on t) as s tends backwards to –∞. Also moment and stochastic domination results are established for the delay and recurrence times of the regenerative process leading to results

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20

Craddock, Charles, Myriam Labopin, Gerard Socie, et al. "Contrasting Factors Determine the Kinetics of Disease Relapse after Allogeneic Stem Cell Transplantation (allo-SCT) for Acute Myeloid Leukaemia (AML): a Survey from the Acute Leukaemia Working Party of the EBMT." Blood 124, no. 21 (2014): 3945. http://dx.doi.org/10.1182/blood.v124.21.3945.3945.

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Abstract Disease relapse remains the major cause of treatment failure in patients allografted for AML. Post transplant interventions, such as donor lymphocyte infusion or adjunctive targeted therapies, represent novel strategies with the potential to reduce the risk of disease recurrence. Such approaches are however critically dependent on timely intervention prior to disease relapse. Whilst the factors predicting the overall risk of relapse have been well characterized determinants of the kinetics of disease relapse have not been extensively studied. We therefore performed a systematic analys

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21

Smart, Alicia, Theodore S. Hong, Natasa Petkovska, et al. "Hypofractionated radiation therapy for unresectable/locally recurrent intrahepatic cholangiocarcinoma." Journal of Clinical Oncology 37, no. 4_suppl (2019): 412. http://dx.doi.org/10.1200/jco.2019.37.4_suppl.412.

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412 Background: Our objective was to evaluate outcomes for patients with unresectable/locally recurrent intrahepatic cholangiocarcinoma (ICC) treated with hypofractionated proton or photon radiation therapy (HF-RT). Methods: We retrospectively identified 66 patients with ICC who were treated with HF-RT from 2008-18. 51 patients had intrahepatic disease only, and 15 patients had extrahepatic disease at time of RT but received RT for biliary control. Median age at RT was 76 years (range: 30-92), including 27 patients (41%) ≥ 80 years. Median RT dose was 58.05 Gy (range: 37.5-67.5), delivered in

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22

Shimizu, Hiroki, Ryousuke Yamashita, Takuya Hashiguchi, Tasuku Miyata, and Yuuma Tamaru. "Square Layout Four-Point Method for Two-Dimensional Profile Measurement and Self-Calibration Method of Zero-Adjustment Error." International Journal of Automation Technology 12, no. 5 (2018): 707–13. http://dx.doi.org/10.20965/ijat.2018.p0707.

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An on-machine measurement method, called the square-layout four-point (SLFP) method with angle compensation, for evaluating two-dimensional (2-D) profiles of flat machined surfaces is proposed. In this method, four displacement sensors are arranged in a square and mounted to the scanning table of a 2-D stage. For measuring the 2-D profile of a target plane, height data corresponding to all measuring points are acquired by means of the raster scanning motion. At the same time, pitching data of the first primary scan line and rolling data of the first subsidiary scan line are monitored by means

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23

Losidis, Sotirios. "Covariance between the forward recurrence time and the number of renewals." Modern Stochastics: Theory and Applications, December 15, 2021, 1–16. http://dx.doi.org/10.15559/21-vmsta194.

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Recurrence times and the number of renewals in $(0,t]$ are fundamental quantities in renewal theory. Firstly, it is proved that the upper orthant order for the pair of the forward and backward recurrence times may result in NWUC (NBUC) interarrivals. It is also demonstrated that, under DFR interarrival times, the backward recurrence time is smaller than the forward recurrence time in the hazard rate order. Lastly, the sign of the covariance between the forward recurrence time and the number of renewals in $(0,t]$ at a fixed time point t and when $t\to \infty $ is studied assuming that the inte

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24

Losidis, Sotirios, Konstadinos Politis, and Georgios Psarrakos. "Bivariate dependence, stochastic orders and conditional tails of the recurrence times in a renewal process." Modern Stochastics: Theory and Applications, 2024, 1–15. http://dx.doi.org/10.15559/24-vmsta266.

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The structure of dependence between the forward and the backward recurrence times in a renewal process is considered. Monotonicity properties, as a function of time, for the tail of the bivariate distribution for the recurrence times are discussed, as well as their link with aging properties of the interarrival distribution F. A necessary and sufficient condition for the renewal function to be concave is also obtained. Finally, some properties of the conditional tail for one of the two recurrence times, given some information on the other, are studied. The results are illustrated by some numer

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25

Pasricha, Puneet, and Dharmaraja Selvamuthu. "A Markov regenerative process with recurrence time and its application." Financial Innovation 7, no. 1 (2021). http://dx.doi.org/10.1186/s40854-021-00255-z.

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AbstractThis study proposes a non-homogeneous continuous-time Markov regenerative process with recurrence times, in particular, forward and backward recurrence processes. We obtain the transient solution of the process in the form of a generalized Markov renewal equation. A distinguishing feature is that Markov and semi-Markov processes result as special cases of the proposed model. To model the credit rating dynamics to demonstrate its applicability, we apply the proposed stochastic process to Standard and Poor’s rating agency’s data. Further, statistical tests confirm that the proposed model

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26

Chadjiconstantinidis, Stathis, and Konstadinos Politis. "Bounds for the distribution and moments of the forward and backward recurrence times in a renewal process." Journal of Computational and Applied Mathematics, July 2024, 116166. http://dx.doi.org/10.1016/j.cam.2024.116166.

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27

Xu, Chuang, Mads Christian Hansen, and Carsten Wiuf. "Full classification of dynamics for one-dimensional continuous-time Markov chains with polynomial transition rates." Advances in Applied Probability, September 12, 2022, 1–35. http://dx.doi.org/10.1017/apr.2022.20.

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Abstract This paper provides a full classification of the dynamics for continuous-time Markov chains (CTMCs) on the nonnegative integers with polynomial transition rate functions and without arbitrary large backward jumps. Such stochastic processes are abundant in applications, in particular in biology. More precisely, for CTMCs of bounded jumps, we provide necessary and sufficient conditions in terms of calculable parameters for explosivity, recurrence versus transience, positive recurrence versus null recurrence, certain absorption, and implosivity. Simple sufficient conditions for exponenti

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28

Peshwe, Krithika, Ya-Huei Li, nida akram, Amre Nouh, and Yan Hou. "Abstract TP334: Racial Disparities in Functional Outcomes and Stroke Recurrence in Young Patients with Ischemic Stroke." Stroke 56, Suppl_1 (2025). https://doi.org/10.1161/str.56.suppl_1.tp334.

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Introduction: Studies have reported racial disparities in acute stroke treatment and follow-up care in young patients which lead to less desirable outcomes for minorities. This study aimed to identify potentially modifiable factors for better stroke treatment and prevention in minority populations. Methods: Young patients aged 18-50 years who were admitted with ischemic stroke during 09/2016-12/2022 were retrospectively identified and stratified as non-Hispanic White (WH), non-Hispanic Black (BL), and Hispanic (HS). Racial differences in risk factors, stroke etiology, acute intervention, and f

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29

Michelitsch, Thomas M., Giuseppe D’Onofrio, Federico Polito, and Alejandro P. Riascos. "Random walks with stochastic resetting in complex networks: A discrete-time approach." Chaos: An Interdisciplinary Journal of Nonlinear Science 35, no. 1 (2025). https://doi.org/10.1063/5.0238517.

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We consider a discrete-time Markovian random walk with resets on a connected undirected network. The resets, in which the walker is relocated to randomly chosen nodes, are governed by an independent discrete-time renewal process. Some nodes of the network are target nodes, and we focus on the statistics of first hitting of these nodes. In the non-Markov case of the renewal process, we consider both light- and fat-tailed inter-reset distributions. We derive the propagator matrix in terms of discrete backward recurrence time probability density functions, and in the light-tailed case, we show th

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30

Li, Kang, Yi Song, Ling Qin, et al. "A CpG Methylation Signature as a Potential Marker for Early Diagnosis of Hepatocellular Carcinoma From HBV-Related Liver Disease Using Multiplex Bisulfite Sequencing." Frontiers in Oncology 11 (October 20, 2021). http://dx.doi.org/10.3389/fonc.2021.756326.

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BackgroundAberrant methylation of CpG sites served as an epigenetic marker for building diagnostic, prognostic, and recurrence models for hepatocellular carcinoma (HCC).MethodsUsing Illumina 450K and EPIC Beadchip, we identified 34 CpG sites in peripheral blood mononuclear cell (PBMC) DNA that were differentially methylated in early HCC versus HBV-related liver diseases (HBVLD). We employed multiplex bisulfite sequencing (MBS) based on next-generation sequencing (NGS) to measure methylation of 34 CpG sites in PBMC DNA from 654 patients that were divided into a training set (n = 442) and a test

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31

Cheng, Lin, Zezhou Feng, Zhaonan Hao, Minmin Si, Rui Yuan, and Zhiyuan Feng. "Molar distalization in orthodontics: a bibliometric analysis." Clinical Oral Investigations 28, no. 2 (2024). http://dx.doi.org/10.1007/s00784-024-05520-w.

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Abstract Objectives The study endeavors to undertake a bibliometric analysis on molar distalization, with the objective of illuminating its evolutionary trajectory, current status, and prognosticating future research hotspots and trends. Material and methods A comprehensive exploration of the literature on molar distalization was carried out by conducting a search in the Web of Science (WOS) core database of the University of Hong Kong Electronic Library. The search for topic terms employed included “molar distalization,” “molar distalisation,” “move molar distally,” “molar distal movement,” a

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