Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

The “right” safe starting withdrawal rate is a moving target, depending on equity valuations, bond yields, prospects for inflation, and a retiree’s own life expectancy and asset allocation, among ...

Abstract: This paper addresses the problem of designing nonlinear discrete-time dynamical systems for prospective use in low-complexity random signal generators. Drawing upon ergodic systems theory, ...

Random number generation is an essential feature in Excel, allowing users to perform tasks such as simulations, creating test datasets, or experimenting with spreadsheet models. Excel provides three ...

Abstract: In this paper, we propose a model of a parameter estimator filter for Black Box-type Stochastic Systems (BBSS), that is, only its inputs and outputs are known; considering its intrinsic ...

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...

The host invites you to pick a door, any door. Let’s say you pick door one. The host throws open one of the doors you did not select, revealing a goat. Then the host gives you the option of switching ...

The electric power distribution system in the U.S. has over 55 million miles of power lines with over 180 million utility poles. Utility poles line our streetways, and highways and carry power to ...

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 ...