Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - A generalised student's t-distribution
AU - Papastathopoulos, Ioannis
AU - Tawn, Jonathan Angus
PY - 2013/1
Y1 - 2013/1
N2 - We introduce a natural extension of the Student’s tt-distribution that also allows for a negative shape parameter or more commonly referred to as the degrees of freedom of this distribution. This distribution unifies all types of tail decay and allows extra flexibility in the kurtosis of the tt-distribution. We illustrate the use of this distribution with an application to pharmaceutical data.
AB - We introduce a natural extension of the Student’s tt-distribution that also allows for a negative shape parameter or more commonly referred to as the degrees of freedom of this distribution. This distribution unifies all types of tail decay and allows extra flexibility in the kurtosis of the tt-distribution. We illustrate the use of this distribution with an application to pharmaceutical data.
KW - Generalised t-distribution
KW - Symmetric short-tailed
KW - Shape parameter
KW - Liver toxicity
U2 - 10.1016/j.spl.2012.09.002
DO - 10.1016/j.spl.2012.09.002
M3 - Journal article
VL - 83
SP - 70
EP - 77
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
SN - 0167-7152
IS - 1
ER -