caa a22 4500 605519676 CHVBK 20210128100731.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s11009-014-9425-4 doi (NATIONALLICENCE)springer-10.1007/s11009-014-9425-4 Mukhopadhyay Nitis Department of Statistics, University of Connecticut, 06269-4120, Storrs, CT, USA aut Squares of Non-Standard-Normal or Non-Student's-t1 RVs Which Have Chi-Square1 or F1,1 Distributions: A Return Visit [Elektronische Daten] [Nitis Mukhopadhyay] In some quarters, especially beginners learning statistics and probability, one generally accepts a claim such as a χ 1 2 ${\chi _{1}^{2}}$ random variable (rv) must be the square of a standard normal rv or a F 1,1 rv must be the square of a Student's t 1 rv. This feeds into more misconceptions later. Hence, we begin with a brief but general construct and then illustrate a number of rvs explicitly which are drastically different from a standard normal or Student's t 1 rv whose squares are distributed as χ 1 2 $\chi _{1}^{2}$ or F 1,1 respectively. This simply presented note reinforces basic understanding of lessons in such core topics covered in classrooms for both undergraduate and graduate students. Springer Science+Business Media New York, 2014 Asymmetric distributions nationallicence Cauchy distribution nationallicence Laplace distribution nationallicence Skewed distributions nationallicence Spiky distributions nationallicence Wavy distributions nationallicence Weibull distribution nationallicence Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/3(2015-09-01), 817-822 1387-5841 17:3<817 2015 17 11009 https://doi.org/10.1007/s11009-014-9425-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-014-9425-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mukhopadhyay Nitis Department of Statistics, University of Connecticut, 06269-4120, Storrs, CT, USA aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/3(2015-09-01), 817-822 1387-5841 17:3<817 2015 17 11009