The first step is to ensure that the given distribution actually is a valid probability distribution. As mentioned earlier, ...

We prove large and moderate deviation principles for the distribution of an empirical mean conditioned by the value of the sum of discrete i.i.d. random variables. Some applications for combinatoric ...

This is a preview. Log in through your library . Abstract This paper studies a new class of Z-valued random variables, called beta unimodal, which are 'dot products' (in the sense of Steutel and van ...

This is a graduate-level course focused on techniques and models in modern discrete probability. Topics include: the first and second moment methods, Chernoff bounds and large deviations, martingales, ...

This is a graduate-level course focused on techniques and models in modern discrete probability. Topics include: the first and second moment methods, martingales, concentration inequalities, branching ...

IIT Kanpur is offering two new free online courses on data science on the SWAYAM NPTEL platform. The courses are being offered in two parts, and learners will first have to take the course titled ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...