{"title":"Asymptotics of Sum of Heavy-tailed Risks with Copulas","authors":"Fan Yang, Yi Zhang","doi":"10.1007/s11009-023-10066-7","DOIUrl":"https://doi.org/10.1007/s11009-023-10066-7","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"43 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136348597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Ruin Problems for Risk Processes with Dependent Phase-Type Claims","authors":"Oscar Peralta, Matthieu Simon","doi":"10.1007/s11009-023-10065-8","DOIUrl":"https://doi.org/10.1007/s11009-023-10065-8","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"40 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135431078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Semi-Markov Model with Geometric Renewal Processes","authors":"Jingqi Zhang, Mitra Fouladirad, Nikolaos Limnios","doi":"10.1007/s11009-023-10060-z","DOIUrl":"https://doi.org/10.1007/s11009-023-10060-z","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"37 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135774380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Three Distributions in the Extended Occupancy Problem","authors":"Ben O’Neill","doi":"10.1007/s11009-023-10053-y","DOIUrl":"https://doi.org/10.1007/s11009-023-10053-y","url":null,"abstract":"Abstract The classical and extended occupancy distributions are useful for examining the number of occupied bins in problems involving random allocation of balls to bins. We examine the extended occupancy problem by framing it as a Markov chain and deriving the spectral decomposition of the transition probability matrix. We look at three distributions of interest that arise from the problem, all involving the noncentral Stirling numbers of the second kind. These distributions give a useful generalisation to the binomial and negative-binomial distributions. We examine how these distributions relate to one another, and we derive recursive properties and mixture properties that characterise the distributions.","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136102436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Paul A. Jenkins, Murray Pollock, Gareth O. Roberts
{"title":"Flexible Bayesian Inference for Diffusion Processesusing Splines","authors":"Paul A. Jenkins, Murray Pollock, Gareth O. Roberts","doi":"10.1007/s11009-023-10056-9","DOIUrl":"https://doi.org/10.1007/s11009-023-10056-9","url":null,"abstract":"Abstract We introduce a flexible method to simultaneously infer both the drift and volatility functions of a discretely observed scalar diffusion. We introduce spline bases to represent these functions and develop a Markov chain Monte Carlo algorithm to infer, a posteriori, the coefficients of these functions in the spline basis. A key innovation is that we use spline bases to model transformed versions of the drift and volatility functions rather than the functions themselves. The output of the algorithm is a posterior sample of plausible drift and volatility functions that are not constrained to any particular parametric family. The flexibility of this approach provides practitioners a powerful investigative tool, allowing them to posit a variety of parametric models to better capture the underlying dynamics of their processes of interest. We illustrate the versatility of our method by applying it to challenging datasets from finance, paleoclimatology, and astrophysics. In view of the parametric diffusion models widely employed in the literature for those examples, some of our results are surprising since they call into question some aspects of these models.","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"43 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136262695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
François Castella, Bruno Sericola, Emmanuelle Anceaume, Yves Mocquard
{"title":"Continuous-Time Stochastic Analysis of Rumor Spreading with Multiple Operations","authors":"François Castella, Bruno Sericola, Emmanuelle Anceaume, Yves Mocquard","doi":"10.1007/s11009-023-10058-7","DOIUrl":"https://doi.org/10.1007/s11009-023-10058-7","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135366355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Binomial Approximation to Locally Dependent Collateralized Debt Obligations","authors":"Amit N. Kumar, P. Vellaisamy","doi":"10.1007/s11009-023-10057-8","DOIUrl":"https://doi.org/10.1007/s11009-023-10057-8","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136033235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Simulation Analysis of a Base Station Using Finite Buffer M/G/1 Queueing System with Variant Sleeps","authors":"V. Deepa, M. Haridass","doi":"10.1007/s11009-023-10052-z","DOIUrl":"https://doi.org/10.1007/s11009-023-10052-z","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135893084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Strategic Behavior and Optimization of an M/M/1 Queuewith N-Policy and Hysteretic Control","authors":"Lingjiao Zhang, Jinting Wang, Yilin Wang","doi":"10.1007/s11009-023-10054-x","DOIUrl":"https://doi.org/10.1007/s11009-023-10054-x","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135834488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}