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 ...

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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 ...

In the early development of probability theory, only discrete random variables (although not called random variables at the time) were considered. Isaac Newton (1643-1727) considered the idea of ...

The binomial distribution models the number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success. The chi-square distribution is often used in ...

Chance and uncertainty play a role in many aspects of life. A solid understanding of probability enhances critical thinking and empowers us to make well-informed decisions in everyday situations such ...

ABSTRACT: The ratio R of two random quantities is frequently encountered in probability and statistics. But while for unidimensional statistical variables the distribution of R can be computed ...

Department of Applied Maths & Statistics, ICMC, Universidade de S?o Paulo, S?o Paulo, Brazil. Department of Statistics, CCET, Universidade Federal de S?o Carlos, S?o Carlos, Brazil. In this paper is ...