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 ...

A trio of physicists from Princeton University, CIT's Jet Propulsion Laboratory and Spectral Sensor Solutions, all in the U.S., is proposing the possibility of generating electricity using energy from ...

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 tool is now available to paid subscribers. MIT Technology Review’s How To series helps you get things done. Today, OpenAI released its video generation model Sora to the public. The announcement ...

Alabama Power has filed a petition to purchase the rights to a natural gas power generating station in Autauga County, a move that the utility said could result in larger bills for customers.

As is well known, the normal distribution is a key tool in probability and statistics. It can be described as a distribution that obeys a universal rule derived from one of the most important theorems ...

WASHINGTON – General Randy George, the 41st Chief of Staff of the Army, has consistently communicated that the Army must remain focused on its warfighting mission and continue training to fight at ...

Solar and wind now make up more than 20% of total US electrical generating capacity, according to new data from the Federal Energy Regulatory Commission (FERC). The renewable energy mix – biomass, ...

Function-calling agent models, a significant advancement within large language models (LLMs), face the challenge of requiring high-quality, diverse, and verifiable datasets. These models interpret ...

Abstract: In this work, we propose two information generating functions: general weighted information and relative information generating functions, and study their properties. It is shown that the ...

What Is A Probability Density Function? A probability density function, also known as a bell curve, is a fundamental statistics concept, that describes the likelihood of a continuous random variable ...