When addressing various financial problems,such as estimating stock portfolio risk,it is necessary to derive the distribution of the sum of the dependent random variables.Although deriving this distribution requires i...When addressing various financial problems,such as estimating stock portfolio risk,it is necessary to derive the distribution of the sum of the dependent random variables.Although deriving this distribution requires identifying the joint distribution of these random variables,exact estimation of the joint distribution of dependent random variables is difficult.Therefore,in recent years,studies have been conducted on the bound of the sum of dependent random variables with dependence uncertainty.In this study,we obtain an improved Hoeffding inequality for dependent bounded variables.Further,we expand the above result to the case of sub-Gaussian random variables.展开更多
During the coronavirus disease 2019(COVID-19)pandemic,the Japanese government implemented several infection control measures,such as states of emergency(SoE)and school closures,and encouraged universal masking and han...During the coronavirus disease 2019(COVID-19)pandemic,the Japanese government implemented several infection control measures,such as states of emergency(SoE)and school closures,and encouraged universal masking and hand hygiene.Initial activity restrictions and improved hygiene were found to be associated with declines in the incidence of infuenza during the 2019–2020 winter season[1].Prior studies have found that the incidence of seven pediatric infections,such as pharyngoconjunctivitis and varicella,decreased during and after the school closures in Japan[2].As activity restrictions continue to be lifted,there is growing concern that pediatric infections may suddenly return given that the pool of susceptible children increased during the pandemic[3].In this study,we use national infectious disease sentinel data from January 2012 to October 2021 to assess changes in the reported number of pediatric infections in Japan during the COVID-19 pandemic.We hypothesize that the reporting of many infectious diseases decreased during the early stages of the pandemic but ultimately returned to normal when activity restrictions were lifted.展开更多
基金This work was supported by JSPS Grant-in-Aid for Young Scientists(Grant No.18K12873)Waseda University Grants for Special Research Projects(“Tokutei Kadai”)(Grant No.2019C-688).
文摘When addressing various financial problems,such as estimating stock portfolio risk,it is necessary to derive the distribution of the sum of the dependent random variables.Although deriving this distribution requires identifying the joint distribution of these random variables,exact estimation of the joint distribution of dependent random variables is difficult.Therefore,in recent years,studies have been conducted on the bound of the sum of dependent random variables with dependence uncertainty.In this study,we obtain an improved Hoeffding inequality for dependent bounded variables.Further,we expand the above result to the case of sub-Gaussian random variables.
基金supported by a research grant from the Ministry of Education,Culture,Sports,Science and Technology of Japan(21H03203)The funding source of this study had no role in the study design,data collection,data analysis,data interpretation,or writing of the report.The views expressed in this paper are solely those of the authors.
文摘During the coronavirus disease 2019(COVID-19)pandemic,the Japanese government implemented several infection control measures,such as states of emergency(SoE)and school closures,and encouraged universal masking and hand hygiene.Initial activity restrictions and improved hygiene were found to be associated with declines in the incidence of infuenza during the 2019–2020 winter season[1].Prior studies have found that the incidence of seven pediatric infections,such as pharyngoconjunctivitis and varicella,decreased during and after the school closures in Japan[2].As activity restrictions continue to be lifted,there is growing concern that pediatric infections may suddenly return given that the pool of susceptible children increased during the pandemic[3].In this study,we use national infectious disease sentinel data from January 2012 to October 2021 to assess changes in the reported number of pediatric infections in Japan during the COVID-19 pandemic.We hypothesize that the reporting of many infectious diseases decreased during the early stages of the pandemic but ultimately returned to normal when activity restrictions were lifted.
