{"title":"流行病学数学模型的比较分析——解释金融市场羊群效应的适应性","authors":"S. Tomar","doi":"10.2139/ssrn.2814843","DOIUrl":null,"url":null,"abstract":"There are different approaches in the use of mathematical model to explain the spread of infectious disease. In epidemiological study the models like Cox,B Spline, SIR and Transmission probability are used to explain herding effect. Bulk of the studies shows the use of these models in Epidemiological research. This paper tries to find the rational of choosing particular models. The collected data sample could be left truncated, right truncated, interval censured and similarly the approximation required to fit the dataset in models could be different. This paper tries to find out the appropriate model which can be used to describe herding phenomena in case of financial market. One of the key finding is that it is better to use B spline model due to the present of left truncated data in a stock market crash or in a bank run.","PeriodicalId":365755,"journal":{"name":"ERN: Other Econometrics: Mathematical Methods & Programming (Topic)","volume":"112 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comparative Analysis of Mathematical Models in Epidemiology - There Adaptation to Explain Herding in Financial Markets\",\"authors\":\"S. Tomar\",\"doi\":\"10.2139/ssrn.2814843\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"There are different approaches in the use of mathematical model to explain the spread of infectious disease. In epidemiological study the models like Cox,B Spline, SIR and Transmission probability are used to explain herding effect. Bulk of the studies shows the use of these models in Epidemiological research. This paper tries to find the rational of choosing particular models. The collected data sample could be left truncated, right truncated, interval censured and similarly the approximation required to fit the dataset in models could be different. This paper tries to find out the appropriate model which can be used to describe herding phenomena in case of financial market. One of the key finding is that it is better to use B spline model due to the present of left truncated data in a stock market crash or in a bank run.\",\"PeriodicalId\":365755,\"journal\":{\"name\":\"ERN: Other Econometrics: Mathematical Methods & Programming (Topic)\",\"volume\":\"112 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-07-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ERN: Other Econometrics: Mathematical Methods & Programming (Topic)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.2814843\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ERN: Other Econometrics: Mathematical Methods & Programming (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.2814843","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Comparative Analysis of Mathematical Models in Epidemiology - There Adaptation to Explain Herding in Financial Markets
There are different approaches in the use of mathematical model to explain the spread of infectious disease. In epidemiological study the models like Cox,B Spline, SIR and Transmission probability are used to explain herding effect. Bulk of the studies shows the use of these models in Epidemiological research. This paper tries to find the rational of choosing particular models. The collected data sample could be left truncated, right truncated, interval censured and similarly the approximation required to fit the dataset in models could be different. This paper tries to find out the appropriate model which can be used to describe herding phenomena in case of financial market. One of the key finding is that it is better to use B spline model due to the present of left truncated data in a stock market crash or in a bank run.