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 ...

Abstract: Probability density function (PDF) curves are among the few charts on a Cartesian coordinate system that are commonly presented without y-axes. This design decision may be due to the lack of ...

Abstract: The stochastic nature of renewable energy sources (RESs) necessitates treating power system frequency response as a random process with a nonstationary probability density function (PDF).

Article subjects are automatically applied from the ACS Subject Taxonomy and describe the scientific concepts and themes of the article. The application presented here utilizes the R Shiny platform to ...

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 ...

As a person with a chronic illness, I'm no stranger to bloodwork. I used to pore over my lab results, googling the various meanings, and trying not to panic when a test fell out of range. Function ...

Gen Z cat lovers don't just believe in the cat distribution system − they spread the message via memes and T-shirts. Stories of the so-called cat distribution system seem to propel the phenomenon ...

Umama Ali is an experienced content writer with a passion for gaming. He has been immersed in video games for as long as he can remember. When he is not playing video games, he can be found playing ...

The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...

While fighting for survival in Minecraft, players will come across a variety of Enchantments that provide certain benefits to aid them in specific situations such as Density. Added as part of 1.21 ...