Learning how a physical system behaves usually means repeating measurements and using statistics to uncover patterns. That ...

Abstract: The approximation of a nonlinear function of a random variable by a linear function is considered. An exponential function, which arises in problems such as random sampling and random ...

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 ...

Abstract: In this correspondence, we give a sufficient condition for the exponential decay of the tail probability of a nonnegative random variable. We consider the Laplace-Stieltjes transform of the ...

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, ...

As the exponential advancement of technology accelerates through the knee of the curve, organizational IT departments must lean into the curve and adapt foundational management and governance ...

Buckle up, it’s going to be a wild ride. The pace of change over the last few decades is only set to accelerate in the coming years, as improvements in biology, medicine, spacecraft, manufacturing, ...

IN 2020, AMAZON turned 26 years old. Over the previous quarter of a century, the company had transformed shopping. With retail revenues in excess of $213bn (£150bn), it was larger than Germany’s ...

We want to generate 10,000 Uniformly distributed random number on [0,1] using LGM and compare with built-in python function. LGM empirical mean = 0.4996 LGM empirical standard deviation = 0.2872 Built ...