Abstract: Convolution and matched filtering are often used to detect a known signal in the presence of noise. The probability of detection and probability of missed detection are well known and widely ...

Interest Rate Probability Distributions Implied by Derivatives Prices is a daily measure of the distribution of future short-term interest rates, calculated from prices of fixed-income derivatives ...

Abstract: We provide a mathematical proof that the convolution or “faltung” method of adding probability distributions is equivalent to the characteristic function method that is widely accepted by ...

The hazard produced by natural phenomena on infrastructure and urban populations has been widely studied in the last 50 years. Researchers have recognised that the real danger posed by these phenomena ...

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 ...

A method is presented for the calculation on a machine of the moments of a probability distribution, necessitating little more than n additions and n references to memory for each moment, instead of ...

If a fund has a gain in a security and then sells that security, it must distribute those capital gains to shareholders on record within its fiscal year. Even if you reinvest that distribution back ...

Private foundations contribute a staggering $105.21 billion to public charities annually, representing $1 out of every $5 donated. Internal Revenue Code Section 4942 requires private nonoperating PFs ...

Required minimum distributions (RMDs) are the minimum amounts you must withdraw from your retirement accounts, including traditional IRAs and 401(k)s, once you reach age 73. The amount you have to ...

As investors reach the age of retirement after years of diligently investing, many wonder about the rules for retirement account distributions and how much should be withdrawn from these accounts.