A continuous random variable can assume an uncountably infinite number of values within a given range, differentiating it fundamentally from a discrete random variable which can only take on distinct, ...

Abstract: Moments of continuous random variables admitting a probability density function are studied. We show that, under certain assumptions, the moments of a random variable can be characterized in ...

Abstract: In this paper, we discuss nonparametric estimation of the probability density function (PDF) of a univariate random variable. This problem has been the subject of a vast amount of scientific ...

1 Department of Mathematics, Kotebe University of Education, Addis Ababa, Ethiopia 2 Department of Statistics, Addis Ababa University, Addis Ababa, Ethiopia The main purpose of this paper is to ...

What Is A Probability Density Function? A probability density function, also known as a bell curve, is a fundamental statistics concept, that describes the likelihood of a continuous random variable ...

This Python function creates a time-series (discrete-time random process) with a specific autocorrelation function (ACF) and continuous probability distribution, e.g with predefined probability ...