{"title":"Random Variables","authors":"박동조","doi":"10.1142/9789813276208_0002","DOIUrl":null,"url":null,"abstract":"If our atomic events are people, such as survey participants who might walk by our corner, then the height of the next person is a random variable. So are and eye color. If our atomic events are complex numbers, then the real part of the next complex number is a random variable. If our atomic events are cards that we draw from a deck, then the number of pips on the next card is a random variable; so are the suit and whether the card is a face card. If our atomic events are pairs of people (say, the next two participants in our survey), then we can make a random variable by testing whether they have the same birthday, or by squaring the difference between the lengths of their left thumbs.","PeriodicalId":227655,"journal":{"name":"Handbook of Heavy-Tailed Distributions in Asset Management and Risk Management","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Handbook of Heavy-Tailed Distributions in Asset Management and Risk Management","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9789813276208_0002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
If our atomic events are people, such as survey participants who might walk by our corner, then the height of the next person is a random variable. So are and eye color. If our atomic events are complex numbers, then the real part of the next complex number is a random variable. If our atomic events are cards that we draw from a deck, then the number of pips on the next card is a random variable; so are the suit and whether the card is a face card. If our atomic events are pairs of people (say, the next two participants in our survey), then we can make a random variable by testing whether they have the same birthday, or by squaring the difference between the lengths of their left thumbs.