Jorge Navarro, Francesco Buono, Jorge M. Arevalillo
{"title":"A New Separation Index and Classification Techniques Based on Shannon Entropy","authors":"Jorge Navarro, Francesco Buono, Jorge M. Arevalillo","doi":"10.1007/s11009-023-10055-w","DOIUrl":"https://doi.org/10.1007/s11009-023-10055-w","url":null,"abstract":"Abstract The purpose is to use Shannon entropy measures to develop classification techniques and an index which estimates the separation of the groups in a finite mixture model. These measures can be applied to machine learning techniques such as discriminant analysis, cluster analysis, exploratory data analysis, etc. If we know the number of groups and we have training samples from each group (supervised learning) the index is used to measure the separation of the groups. Here some entropy measures are used to classify new individuals in one of these groups. If we are not sure about the number of groups (unsupervised learning), the index can be used to determine the optimal number of groups from an entropy (information/uncertainty) criterion. It can also be used to determine the best variables in order to separate the groups. In all the cases we assume that we have absolutely continuous random variables and we use the Shannon entropy based on the probability density function. Theoretical, parametric and non-parametric techniques are proposed to get approximations of these entropy measures in practice. An application to gene selection in a colon cancer discrimination study with a lot of variables is provided as well.","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136060079","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":"'Yes, I've got the job, but my challenge is keeping the job': an evaluation of a new pathway to open employment to meet the needs of people with acquired brain injury in Australia.","authors":"Em Bould, Libby Callaway, Natasha K Brusco","doi":"10.1017/BrImp.2022.6","DOIUrl":"10.1017/BrImp.2022.6","url":null,"abstract":"<p><strong>Background and objectives: </strong>In Australia, people with disability continue to experience low employment rates (48%), compared to the national average (79%), and employment is even lower (30%) for people with acquired brain injury (ABI). This paper evaluates a pilot study of a new mainstream employment pathway following ABI, called Employment CoLab.</p><p><strong>Method: </strong>Employment CoLab was piloted across multiple industries using a mix of reasonable employer adjustments, insurance-funded supports and/or access to capacity-building supports. Semi-structured interviews were undertaken with four stakeholders; (1) Employees with ABI (<i>n</i> = 5, age 31-49 years, time since injury M(R) = 11(4-26) years); (2) Employers/co-workers (<i>n</i> = 3); (3) Allied health professionals/vocational providers (<i>n</i> = 4); and (4) Injury insurance funders who hold portfolio responsibility for disability employment (<i>n</i> = 5). An explorative economic evaluation was also conducted to compare the cost to the funder for Employment CoLab compared to traditional employment pathways.</p><p><strong>Results: </strong>Employment CoLab offered a new approach for people with ABI to gain and sustain open employment. Four major themes were identified from participant interviews: valuing employment and diversity; barriers to mainstream employment; reflections on being employed; and being supported over time. The economic evaluation was unable to detect if the pathway was, or was not, less costly when compared to traditional employment pathways.</p><p><strong>Conclusions: </strong>Employment CoLab is a person-centred collaborative approach which, together with effective social disability insurance approaches, has built new opportunities for inclusive mainstream economic participation following ABI.</p>","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":"15 1","pages":"395-411"},"PeriodicalIF":0.8,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74107451","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":"Optimal Investment-Consumption and Life Insurance Strategy with Mispricing and Model Ambiguity","authors":"Ailing Gu, Xinya He, Shumin Chen, H. Yao","doi":"10.1007/s11009-023-10051-0","DOIUrl":"https://doi.org/10.1007/s11009-023-10051-0","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48595007","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":"Asymptotics for a Bidimensional Renewal Risk Model with Subexponential Main Claims and Delayed Claims","authors":"Shijie Wang, Yueli Yang, Yang Liu, Lianqiang Yang","doi":"10.1007/s11009-023-10050-1","DOIUrl":"https://doi.org/10.1007/s11009-023-10050-1","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45422100","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":"The Effect of Loss Preference on Queueing with Information Disclosure Policy","authors":"Jian Cao, Yongjiang Guo, Zhongxin Hu","doi":"10.1007/s11009-023-10047-w","DOIUrl":"https://doi.org/10.1007/s11009-023-10047-w","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42783716","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":"Modeling and Control of Data Transmission","authors":"Tanhao Huang, Jian Siqi, Jinwen Chen, Dai Yanan","doi":"10.1007/s11009-023-10048-9","DOIUrl":"https://doi.org/10.1007/s11009-023-10048-9","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44402016","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 Non-equilibrium Geometric No-arbitrage Principle","authors":"Wanxiao Tang, P. Zhao","doi":"10.1007/s11009-023-10049-8","DOIUrl":"https://doi.org/10.1007/s11009-023-10049-8","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45763528","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":"Construction of Jointly Distributed Random Samples Drawn from the Beta Two-Parameter Process","authors":"Hassan Akell, F. Sajadi, I. Kazemi","doi":"10.1007/s11009-023-10046-x","DOIUrl":"https://doi.org/10.1007/s11009-023-10046-x","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41861741","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":"On Computing the Multivariate Poisson Probability Distribution","authors":"Bora Çekyay, J. Frenk, S. Javadi","doi":"10.1007/s11009-023-10036-z","DOIUrl":"https://doi.org/10.1007/s11009-023-10036-z","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46453643","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":"Nonparametric Estimation of Trend for Stochastic Processes Driven by G-Brownian Motion with Small Noise","authors":"Xuekang Zhang, Shounian Deng, W. Fei","doi":"10.1007/s11009-023-10045-y","DOIUrl":"https://doi.org/10.1007/s11009-023-10045-y","url":null,"abstract":"","PeriodicalId":18442,"journal":{"name":"Methodology and Computing in Applied Probability","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43164752","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}