Consider a situation in which balls are falling into N cells with arbitrary probabilities. A limiting distribution for the number of occupied cells after n falls is obtained, when n and N → ∞, so that ...

CBSE Class 12 Maths Formulas Probability: Every student knows the Pythagoras theorems and the quadratic equations. This is essential mathematical knowledge that most people possess, whether math ...

Several important multivariate probability inequalities can be formulated in terms of multivariate convolutions of the form ∫ $f_{1}(x)f_{2}(x-\theta )dx$, where ...

We live in a world where a lot of things seem to happen by pure chance, from winning the Lotto to losing your car keys. But the truth is, the likelihood of many everyday things happening is heavily ...

What reason is there to suppose that the future will resemble the past, or that unobserved particulars will resemble observed ones? None, of course, until resemblances are further specified, e.g., ...