The addition rule for probabilities determines the chance of either mutually exclusive or overlapping events happening, using ...

Abstract: The sum of random variables arises as a challenge in several wireless communication problems, particularly those characterized by the Fox H distribution. In this paper, we derive the moment ...

Brain activities often follow an exponential family of distributions. The exponential distribution is the maximum entropy distribution of continuous random variables in the presence of a mean. The ...

The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing research field. Probability distributions which emerges from the nonextensive formalism(q-distributions) have ...

AIs can outperform humans easily on short tasks, but longer ones are the true hurdle to overcome before we can deem them to be truly intelligent systems. When you purchase through links on our site, ...

Abstract: In this article, the reliability assessment methods for the exponential load-sharing system is proposed based on the system accelerated life testing data under the equal load-sharing rule.

dxxx(x,) returns the density or the value on the y-axis of a probability distribution for a discrete value of x pxxx(q,) returns the cumulative density function (CDF) or the area under the curve to ...

1 Department of Mathematics, Pan African University Institute for Basic Sciences, Technology and Innovation (PAUSTI), Nairobi, Kenya. 2 Department of Mathematics and Actuarial Science, Kenyatta ...

Probability distribution is an essential concept in statistics, helping us understand the likelihood of different outcomes in a random experiment. Whether you’re a student, researcher, or professional ...