Probability distributions play a vital role in various fields, including statistics, engineering, finance, and computer science. One essential distribution is the Exponential Distribution, renowned ...

👉Normal Distribution: Characteristics: Symmetrical, bell-shaped curve centered around the mean; mean, median, and mode are equal. Applications: IQ scores, heights, test scores. 👉Bernoulli ...

This paper introduces the Type II Exponentiated Half-Logistic Exponential (TIIEHLEx) distribution, a three-parameter model designed for enhanced flexibility in modeling positive-valued data. We derive ...

Probability distributions are the core of statistics, offering invaluable assistance in describing and modeling real-world data situations. Particularly, to better understand and model real-world ...

Abstract: Studies with the Gaussian and Cauchy probability distributions have shown that the performance of the standard PSO algorithm can be improved. But these versions may also get stuck in local ...

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 ...

This paper introduces a new distribution based on the exponential distribution, known as Size-biased Double Weighted Exponential Distribution (SDWED). Some characteristics of the new distribution are ...

Abstract: The usual answer to the question “What probability distribution maximizes entropy or differential entropy of a random variable X subject to the constraint that the expected value of a ...

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 ...