411 REFERENCE · Wiktionary
Student's t distribution
Reference material by Wiktionary contributors. This retains its source identity and is not 411 news reporting.
English
Alternative forms
en Student's t-distribution
Etymology
From the pen-name of Irish statistician William Sealy Gosset, which he used for a 1908 paper in Biometrika, under the pseudonym en Student. The distribution was popularised through the work of en Ronald Fisher, who referred to it as Student's distribution and used the letter t to represent the test value.
Noun
Student's t distribution
en statistics A distribution that arises when the population standard deviation is unknown and has to be estimated from the data.
en 2009 Francesco Sardanelli; Giovanni Di Leo Biostatistics for Radiologists: Planning, Performing, and Writing a Radiologic Study [2008, Biostatistica in Radiologia] Springer https://books.google.com.au/books?id=bVknKyVUaBcC&pg=PA59&dq=%22Student%27s+t-distribution%22%7C%22Student%27s+t-distributions%22&hl=en&sa=X&ved=0ahUKEwj5r9PDpJrWAhUrqVQKHR2IAlAQ6AEIzQEwHw#v=onepage&q=%22Student's%20t-distribution%22%7C%22Student's%20t-distributions%22&f=false 59 A complete description of the Student's t distribution is beyond the aims of this book.
en 2011 Rand Wilcox Modern Statistics for the Social and Behavioral Sciences: A Practical Introduction Taylor & Francis (CRC Press) https://books.google.com.au/books?id=Yj5LKoBq9ZUC&pg=PA155&dq=%22Student%27s+t-distribution%22%7C%22Student%27s+t-distributions%22&hl=en&sa=X&ved=0ahUKEwj5r9PDpJrWAhUrqVQKHR2IAlAQ6AEIrwEwGg#v=onepage&q=%22Student's%20t-distribution%22%7C%22Student's%20t-distributions%22&f=false 155 In contrast, the 0.95 confidence interval for μ is (577.1,623.4), assuming T does indeed have a Student's t distribution.
en 2012 Paul D. Kaplan Frontiers of Modern Asset Allocation https://books.google.com.au/books?id=7srEhI-H-8oC&pg=PA358&dq=%22Student%27s+t-distribution%22%7C%22Student%27s+t-distributions%22&hl=en&sa=X&ved=0ahUKEwj5r9PDpJrWAhUrqVQKHR2IAlAQ6AEIhQIwKA#v=onepage&q=%22Student's%20t-distribution%22%7C%22Student's%20t-distributions%22&f=false 358 Wiley Markowitz contends that the weight of the evidence supports a conclusion that the Student's t-distribution is a better model of stock returns than either the normal distribution or the stable Paretian.
en 2013 Manuel Ammann; Stephan Süss Asymmetric dependence patterns in financial time series Alexandra Dias; Mark Salmon; Chris Adcock Copulae and Multivariate Probability Distributions in Finance Taylor & Francis (Routledge) https://books.google.com.au/books?id=l5FUg4ODKlAC&pg=PA95&dq=%22Student%27s+t-distribution%22%7C%22Student%27s+t-distributions%22&hl=en&sa=X&ved=0ahUKEwj5r9PDpJrWAhUrqVQKHR2IAlAQ6AEI6QIwOw#v=onepage&q=%22Student's%20t-distribution%22%7C%22Student's%20t-distributions%22&f=false 95 To the best of our knowledge, our study is the first empirical implementation of the skewed t-copula to generate meta-skewed Student's t-distributions.
en 2014 Mohammad Ahsanullah; B.M. Golam Kibria; Mohammad Shakil Normal and Student's t Distributions and Their Applications https://books.google.com.au/books?id=Hw3GBAAAQBAJ&pg=PA51&dq=%22Student%27s+t-distribution%22%7C%22Student%27s+t-distributions%22&hl=en&sa=X&ved=0ahUKEwj5r9PDpJrWAhUrqVQKHR2IAlAQ6AEIRDAH#v=onepage&q=%22Student's%20t-distribution%22%7C%22Student's%20t-distributions%22&f=false 51 Springer The graph of the probability density function of the Student's t distribution is a symmetric and bell-shaped curve, differing for different sample sizes.
Usage notes
Sometimes referred to as Student's t distribution (a noun phrase with Student's used as determiner).
The isolated letter t is often italicised.
Synonyms
statistics en Student's t, en t distribution
Coordinate terms
en bell curve Poisson distribution
Related terms
en Student's t test
Translations
probability distribution
Czech: cs Studentovo t-rozdělení n
Finnish: fi t-jakauma, fi Studentin t-jakauma
en eponyms