Introduction to probability, random processes and basic statistical methods to address the random nature of signals and systems that engineers analyze, characterize and apply in their designs. It ...

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 ...

In this paper we introduce discrete-time semi-Markov random evolutions (DTSMREs) and study asymptotic properties, namely, averaging, diffusion approximation, and diffusion approximation with ...

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 ...

Probability Distribution Notes: Probability is a fundamental aspect of mathematics that helps us understand and quantify uncertainty. Mastery of this subject is essential for students, as it has ...

A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . . For example, stock prices are discrete random variables, ...

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 ...

Apply arithmetic mean of frequency distribution to find the expected value of a random variable The expected value of discrete random variable as summation of product of discrete random variable by ...