How does the t distribution play a role in some approximate solutions to the Behrens-Fisher problem?

Aug 28, 2020 ... The t-distribution, also known as Student's t-distribution, is a way of describing data that follow a bell curve when plotted on a graph, ... (2) Student's t-distribution is less peaked than a normal distribution, at the same time, t-distribution has “fatter tails”. In this way, it seems like that ... If Y has a Student's t distribution with ν degrees of freedom, then X = 1 2 + 1 2 Y ν + Y 2 has beta distribution with the shape parameters a = ν/2 and b = ν/2. Aug 20, 2013 ... Derive Student T distribution using transformation theorem ... If X1∈N(0,1) and X2∈χ2(n) are independent random variables, then X1/√X2/n∈t(n) ... for degrees of freedom d.f. not in the table, use the closest d.f . Critical Values for Student's t Distribution. Jun 9, 2024 ... The t-distribution, also known as the Student's t-distribution, is a statistical function that creates a probability distribution. Aug 27, 2015 ... I want to confirm how to implement Parametric VaR using a Student t-distribution. The formula is one that I have found but I'm not sure if its correct. Feb 2, 2019 ... The normal distribution is a special case of Student's t t t-distribution with the ν \nu ν parameter (i.e., the degree of freedom) set to ... The t-distribution is a hypothetical probability distribution. It is also known as the student's t-distribution and used to make presumptions about a mean when ... tcdf( computes the Student t distribution probability between lowerbound and upperbound for the specified df (degrees of freedom), which must be > 0.