File:Generalized inversion method.svg
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Summary
| Description |
English: F(x)=Pr{X≤x} is a cumulative distribution function of random variable X. U is a random variable uniformly distributed on [0,1]. In general, y=F(x) (0≤y≤1) does not necessarily have inverse function F-1(y). However, we can define the inverse function by F-1(y)=inf{x|F(x)≥y} since F(x) is non-decreasing and right-continuous. Thus, we can take F-1(y) in the inversion method. F-1(U) has the same distribution as X. |
| Date | |
| Source | Own work |
| Author | Ta2o |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:39, 23 June 2019 | | 630 × 630 (69 KB) | wikimediacommons>Ta2o | User created page with UploadWizard |
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