We call the collection of possible outcomes for an experiment or trial the sample space, often written as \(\varepsilon\) (and sometimes as \(S\)). In probability, an event is a collection of one or ...

The world is full of uncertainty: accidents, storms, unruly financial markets, noisy communications. The world is also full of data. Probabilistic modeling and the related field of statistical ...

When we talk about probability, we're really talking about how likely something is to happen. It's like asking, "What are the chances?" But sometimes we need to look at how different events relate to ...

Do you feel intimidated by the idea of investing in the stock market? Well, if you do, You’re not alone! It can be overwhelming to wrap your head around all the financial terms and calculations. By ...

Parts I and II of this paper have described a new theory for the analysis of games with incomplete information. Two cases have been distinguished: consistent games in which there exists some basic ...

This course provides a solid basis for further study in statistics and data analysis or in pattern recognition and operations research. It is especially appropriate for students with an undergraduate ...

Abstract: In Dempster-Shafer evidence theory, basic probability assignment (BPA) plays a important role in representing uncertain and unknown information. How to generate highquality BPA is essential, ...

The paper develops a new theory for the analysis of games with incomplete information where the players are uncertain about some important parameters of the game situation, such as the payoff ...