A simple procedure for deriving the probability density function (pdf) for sums of uniformly distributed random variables is offered. This method is suited to introductory courses in probability and ...

Density functions are nonnegative for all real numbers but greater than zero only at a finite or countably infinite number of points. Density functions are nonnegative for all real numbers and are ...

Brazilian Journal of Probability and Statistics, Vol. 35, No. 3 (2021), pp. 435-441 (7 pages) The aim of this note is to give an elegant proof of a result due to E. G. Olds which concerns the density ...

The probability density function of a uniform random variable looks like a horizontal line segment over the support. This indicates that for any interval of a given length within the support, the ...

Probability, Random Variables, Statistics, and Random Processes: Fundamentals & Applications is a comprehensive undergraduate-level textbook. With its excellent topical coverage, the focus of this ...

Abstract: To deal with the uncertain relationship between random variables and harmonic spectrum in existing random pulsewidth modulation (PWM), this article links the uniformly distributed random ...

Created with R2024a. Compatible with R2024a and later releases. You can use these live scripts as demonstrations in lectures, class activities, or interactive assignments outside class. This module ...

Conjunction of two probability laws can give rise to a possibility law. Using two probability densities over two disjoint ranges, we can define the fuzzy mean of a fuzzy variable with the help of ...