Acknowledgment of priority Usage~of~the~Lambert~W~function~in~statistics
aoas790.tex
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% Institute of Mathematical Statistics (IMS)
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\doi{10.1214/14-AOAS790} % kopijuoti is laisko
\volume{8}
\issue{4}
\pubyear{2014}
\firstpage{2567}
\lastpage{2567}
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\begin{document}
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\begin{frontmatter}

\title{Acknowledgment of priority
Usage~of~the~Lambert~W~function~in~statistics}
\runtitle{Acknowledgment of priority}
\pdftitle{Acknowledgment of priority: Usage of the Lambert $W$ function in statistics}

\begin{aug}
\author[A]{\fnms{Georg M.}~\snm{Goerg}\corref{}\ead[label=e1]{im@gmge.org}}%,
% \and
\runauthor{G. M. Goerg}
\affiliation{Google, Inc.}
\address[A]{Google, Inc.\\
111 8th Avenue\\
New York, New York 10011\\
USA\\
\printead{e1}}
\end{aug}

% HISTORY:
\received{\smonth{9} \syear{2014}}
\revised{\smonth{10} \syear{2014}}

% ABSTRACT

% KEYWORDS
% Pirmas kwd is didziosios raides
\end{frontmatter}

In my 2011 \textit{Annals of Applied Statistics} article [\citet
{GMGLambertWSkewed}] I wrote that ``Whereas the Lambert $W$ function
plays an important role in mathematics, physics, chemistry, biology and
other fields, it has not yet been used in statistics.'' This was
incorrect. At the time of publication I was unaware of \citet
{Stehlik03LambertWLoglikTest}, who used the Lambert $W$ function to
derive the exact distribution of the likelihood ratio test statistic.
He has also used it in more recent work such as \citet
{Stehlik06exactLR,Stehliketal10favorable}, or
\citet{Stehlik14exacttesting} amongst others. While Stehl\'{i}k's
use of the
Lambert $W$ function was focused on the distribution of the likelihood ratio
test statistic, my work dealt with the modeling of skewed random
variables and symmetrizing data
using the Lambert $W$ function as a variable transformation.

I thus want to take this opportunity to acknowledge that Stehl\'{i}k
has used the Lambert $W$ function prior to my usage in \citet
{GMGLambertWSkewed}.

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\bauthor{\bsnm{Goerg},~\bfnm{Georg~M.}\binits{G.~M.}}
(\byear{2011}).
\btitle{Lambert {$W$} random variables---a new family of generalized
skewed distributions with applications to risk estimation}.
\bjournal{Ann. Appl. Stat.}
\bvolume{5}
\bpages{2197--2230}.
\bid{doi={10.1214/11-AOAS457}, issn={1932-6157}, mr={2884937}}
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%Goerg, G.~M. (2011).
%Lambert {W} random variables - a new family of generalized skewed
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%\textit{The Annals of Applied Statistics} \textbf{5}(3), p. 2197--2230.
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\bauthor{\bsnm{Stehl{\'{\i}}k},~\bfnm{Milan}\binits{M.}}
(\byear{2003}).
\btitle{Distributions of exact tests in the exponential family}.
\bjournal{Metrika}
\bvolume{57}
\bpages{145--164}.
\bid{doi={10.1007/s001840200206}, issn={0026-1335}, mr={1969249}}
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\bauthor{\bsnm{Stehl{\'{\i}}k},~\bfnm{Milan}\binits{M.}}
(\byear{2006}).
\btitle{Exact likelihood ratio scale and homogeneity testing of some
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\bjournal{Statist. Probab. Lett.}
\bvolume{76}
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\bauthor{\bsnm{Stehl{\'{\i}}k},~\bfnm{M.}\binits{M.}}
(\byear{2014}).
\btitle{Exact testing of the scale parameter with the missing
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\bjournal{Commun. Dependability Qual. Manag.}
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%Stehl\'{i}k, M. (2014).
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(\byear{2010}).
\btitle{On the favorable estimation for fitting heavy tailed data}.
\bjournal{Comput. Statist.}
\bvolume{25}
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[\protect\citeauthoryear{Goerg{2011]{GMGLambertWSkewed % \begin{barticle[mr] \bauthor{\bsnm{Goerg,~nm{Georg~M.\binits{G.~M. (\byear{2011). \btitle{Lambert {$W$ random variables---a new family of generalized skewed distributions with applications to risk estimation. \bjournal{Ann. Appl. Stat. \bvolume{5 \bpages{2197--2230. \bid{doi={10.1214/11-AOAS457, issn={1932-6157, mr={2884937
1503.01308.extracted_bib
[\protect\citeauthoryear{Stehl{\'{\i k{2003]{Stehlik03LambertWLoglikTest % \begin{barticle[mr] \bauthor{\bsnm{Stehl{\'{\ik,~nm{Milan\binits{M. (\byear{2003). \btitle{Distributions of exact tests in the exponential family. \bjournal{Metrika \bvolume{57 \bpages{145--164. \bid{doi={10.1007/s001840200206, issn={0026-1335, mr={1969249
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[\protect\citeauthoryear{Stehl{\'{\ik{2006]{Stehlik06exactLR % \begin{barticle[mr] \bauthor{\bsnm{Stehl{\'{\ik,~nm{Milan\binits{M. (\byear{2006). \btitle{Exact likelihood ratio scale and homogeneity testing of some loss processes. \bjournal{Statist. Probab. Lett. \bvolume{76 \bpages{19--26. \bid{doi={10.1016/j.spl.2005.06.005, issn={0167-7152, mr={2213239
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[\protect\citeauthoryear{Stehl{\'{\ik et~al.{2010]{Stehliketal10favorable % \begin{barticle[mr] \bauthor{\bsnm{Stehl{\'{\ik,~nm{Milan\binits{M., \bauthor{\bsnm{Potock{\'y,~nm{Rastislav\binits{R., \bauthor{\bsnm{Waldl,~nm{Helmut\binits{H. \AND \bauthor{\bsnm{Fabi{\'an,~nm{Zden{\v{ek\binits{Z. (\byear{2010). \btitle{On the favorable estimation for fitting heavy tailed data. \bjournal{Comput. Statist. \bvolume{25 \bpages{485--503. \bid{doi={10.1007/s00180-010-0189-1, issn={0943-4062, mr={2720398