Abstract
Multiple r.v.s are often involved in various random experiments. For instance, an educator might examine the joint behavior of study time and grades, while a physician may investigate the joint behavior of blood pressure and weight. Similarly, an economist could study the joint behavior of business volume and profit. Indeed, most practical problems entail multiple underlying r.v.s of interest. In some scenarios, more than one r.v. will be of interest. Therefore, the joint probability distributions for two discrete and two continuous r.v.s will be discussed and finally generalized for more than two variables.
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References
Castaneda LB, Arunachalam V, Dharmaraja S (2012) Introduction to probability and stochastic processes with applications. Wiley, New York
Chung KL (1968) A course in probability theory. Harcourt Brace & World, New York
Feller W (1968) An introduction to probability theory and its applications:, vol I. Wiley, New York
Fisz M (1963) Probability theory and mathematical statistics, 3rd edn. Wiley, New York
Laha RG, Rohatgi VK (1979) Probability theory. Wiley, New York
Meyer PL (1965) Introductory probability and statistical applications. Oxford and IBH Publishing
Ross SM (1998) A first course in probability. Pearson
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Selvamuthu, D., Das, D. (2024). Multiple Random Variables and Joint Distributions. In: Introduction to Probability, Statistical Methods, Design of Experiments and Statistical Quality Control. University Texts in the Mathematical Sciences. Springer, Singapore. https://doi.org/10.1007/978-981-99-9363-5_5
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DOI: https://doi.org/10.1007/978-981-99-9363-5_5
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