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Multivariate Random Variables
| Content Provider | Scilit |
|---|---|
| Author | Mukhopadhyay, Nitis |
| Copyright Year | 2020 |
| Description | Suppose that we draw two random digits, each from the set {0,1,…9}, with equal probability. Let Χ$ _{1}$ , X$ _{2}$ be respectively the sum and the difference of the two selected random digits. Using the sample space technique, one can easily verify that P ( X 1 = 0 ) = 1 100 , P ( X 1 = 1 ) = 2 100 , P ( X 1 = 2 ) = 3 100 and eventually obtain the distribution, namely Ρ (X$ _{1}$ = i) for i = 0,1,…, 18. Similarly, one can also evaluate P(X$ _{2}$ = j) for j = − 9, − 8,8,9. Now, suppose that one has observed X$ _{1}$ = 3. Then there is no chance for X$ _{2}$ to take a value such as 2. In other words, the bivariate discrete random variable (Χ$ _{1}$, X$ _{2}$) varies together in a certain way. This sense of joint variation is the subject matter of the present chapter. Book Name: Probability and Statistical Inference |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2009-0-19997-6&isbn=9780429258336&doi=10.1201/9780429258336-3&format=pdf |
| DOI | 10.1201/9780429258336-3 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2020-08-30 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Probability and Statistical Inference History and Philosophy of Science Random Variable Suppose Easily Random Digits Eventually |
| Content Type | Text |
| Resource Type | Chapter |
