Proponents of artificial intelligence (AI), and especially individuals with a personal incentive to promote investments in the field, often talk about creating and selling AI products that clients can ...

ABSTRACT: We obtain an infinite series expression for the joint probability density function of occupation times in a Three-State Markov chain. By extending the identity given by Darroch, we ...

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 ...

Brian Cox explores the odds of alien life, touching on the Drake Equation, Fermi Paradox, and cosmic scale. A thought-provoking look at why we may be alone—or just not listening closely enough.

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 ...

1 Department of Mathematics, Kotebe University of Education, Addis Ababa, Ethiopia 2 Department of Statistics, Addis Ababa University, Addis Ababa, Ethiopia The main purpose of this paper is to ...

Department of Basic Science, Nippon Veterinary and Life Science University, Tokyo, Japan. According to the uncertainty principle, the motion of the single electron in the 1s orbit of a hydrogen atom ...

Abstract: Probability estimation measures the likelihood of different outcomes in a statistical context. It commonly involves estimating either the parameters or the entire distribution of a random ...