21 дек. 2013 г. · Proof: We may assume that for each n,m, that the function is non-negative, i.e., ∀n,m∈N.f(n,m)≥0.

9 июн. 2018 г. · Now suppose we're working in discrete settings, so we have sequences a:N×N→[0,1]. The most natural definition of an integral over one ...

18 дек. 2016 г. · But that theorem is for bijective functions f:N→N. How can we use it to obtain the second equality in the theorem stated above ?

31 янв. 2016 г. · I have a question regarding the application of the Fubini's Theorem to the expectation of the product of two random variables.

7 дек. 2016 г. · Under Fubini's theorem that under certain conditions, integrals can commute with each other, summations can commute with each other, and integrals can commute ...

28 июл. 2023 г. · In probability theorey there is a different form of Fubini's theorem that includes Markov kernels (regular conditional distributions) that does not need ...

27 авг. 2015 г. · I think a counterexample can be found if A or B is a discrete set and f is completely dicontinuous (so, for example, ... How does Fubini's Theorem ...

19 нояб. 2011 г. · This is a theorem that will work: Theorem. If {fn}n is a positive sequence of integrable functions and f=∑nfn then ∫f=∑n∫fn.

12 сент. 2011 г. · We apply Fubini's theorem. Our product measure will be a product of the distribution of X and Lebesgue measure. So ∫∞0P(X>t)dt=∫ ...

1 мар. 2015 г. · What we have done, of course, is to use the discrete version of Fubini's theorem to interchange the order of summation. In the continuous ...