A discrete random variable is a type of random variable that can only take on a countable number of distinct values. A discrete random variable is a variable whose possible values are distinct and ...

Abstract: In this chapter, we introduce the concept of a random variable and develop the procedures for characterizing random variables, including the cumulative distribution function, as well as the ...

ABSTRACT: This in virtue of the notion of likelihood ratio and the tool of moment generating function, the limit properties of the sequences of random discrete random variables are studied, and a ...

Continuous Variable: can take on any value between two specified values. Obtained by measuring. Covariance: a measure of the direction of the linear relationship between two variables. Discrete ...

Abstract: This work provides new bounds on the difference between the entropies of two discrete random variables in terms of the local and total variation distances between their probability mass ...

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 ...

Numerical inversion of a Probability-generating function of a discrete random variable according to Davies, Robert B. "Numerical inversion of a characteristic function." Biometrika 60.2 (1973): ...

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 ...