If someone told you that they were “probably” going to have pasta for dinner, but you later found out that they ate pizza, would you feel surprised – or even lied to? More seriously, what does it mean ...

Abstract: This paper proposes a direct model for conditional probability density forecasting of residential loads, based on a deep mixture network. Probabilistic residential load forecasting can ...

Clay Halton was a Business Editor at Investopedia and has been working in the finance publishing field for more than five years. He also writes and edits personal finance content, with a focus on ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

Before ChatGPT could write essays, explain tax code, or summarize earnings reports, it had to master something far simpler but no less profound: probability. While headlines may credit “artificial ...

In The Art of Uncertainty: How to Navigate Chance, Ignorance, Risk and Luck (Norton, Mar.), the statistician explores how to think about what one doesn’t know. You devote a chapter to exploring ...

To watch baseball or any other sport is to confront the fundamental unpredictability of the universe, its utter refusal to bend to your wishes, no matter how fervent. In recent years, some ...

When is it appropriate to completely reinvent the wheel? To an outsider, that seems to happen a lot in category theory, and probability theory isn’t spared from this treatment. We’ve had a useful ...

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 ...