Timeline for Multiple integral and integral with respect to a function of variables
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jan 27, 2022 at 10:15 | vote | accept | Ashok | ||
| Jan 7, 2022 at 2:43 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jan 7, 2022 at 2:32 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Jan 7, 2022 at 2:00 | comment | added | Iosif Pinelis | @Ashok : There is no way to prove that. Indeed, as I said, the integral $\int f(T)\Phi(T,\theta)dT$, where his $f(T)$ is introduced in his paper, cannot possibly have a meaning. Therefore, there is no rigorous way to relate his non-rigorous $f(T)$ with the rigorous notion of the conditional expectation $E_\th(t(X)|T(X))$. In general, one cannot possibly prove rigorously that something rigorous is the same as something non-rigorous. What my answer gives is a rigorous interpretation of non-rigorous results in that non-rigorous paper. | |
| Jan 7, 2022 at 1:31 | comment | added | Ashok | Thanks Iosif. How do we prove that the $f(T(X))$ he is referring to is indeed $E_\theta(t(X)|T(X))$? | |
| Jan 6, 2022 at 16:47 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |