Random Variables and Probability Distributions

Thomas Cleff ()
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Thomas Cleff: Pforzheim University of Applied Sciences

Chapter Chapter 7 in Applied Statistics and Multivariate Data Analysis for Business and Economics, 2025, pp 189-242 from Springer

Abstract: Abstract This chapter focuses on both discrete and continuous random variables and their corresponding probability distributions. Discrete random variables are introduced through the binomial, hypergeometric, and Poisson distributions, while continuous random variables are illustrated with the uniform, normal, chi-square, t, and F distributions. The chapter emphasizes the mathematical foundations of these distributions, including their expected values and variances. Practical applications are discussed, along with techniques for calculating probabilities using software tools like R, Excel, and Stata.

Keywords: Random variables; Discrete distribution; Continuous distribution; Binomial distribution; Hypergeometric distribution; Poisson distribution; Uniform distribution; Normal distribution; Chi-squared distribution; t distribution; F distribution; Probability function; Distribution functions (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sptchp:978-3-031-78070-7_7

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DOI: 10.1007/978-3-031-78070-7_7

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