Brazilian Journal of Probability and Statistics, Vol. 35, No. 3 (2021), pp. 435-441 (7 pages) The aim of this note is to give an elegant proof of a result due to E. G. Olds which concerns the density ...

Discover how probability distribution methods can help predict stock market returns and improve investment decisions. Learn ...

A new proof, based on the duality theorem of linear programming, is given of a theorem of V. Strassen, which states essentially that the minimum distance between random variables with given ...

Explain why probability is important to statistics and data science. See the relationship between conditional and independent events in a statistical experiment. Calculate the expectation and variance ...

A random variable is a mathematical function that maps outcomes of random experiments to numbers. It can be thought of as the numeric result of operating a non-deterministic mechanism or performing a ...

Despite nearly 100 years of development in econometrics, the treatment of random shocks remains quite naïve. Economists overuse normal distribution, the classic bell curve, to model the influence of ...

Economics deals with systematic interaction between variables—supply, demand, investment, and consumption. Statistical tools that economists deploy add the idea of random variables—’shocks’—to these ...