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\citation{asimov}
\citation{asimov}
\citation{asimov}
\citation{asimov}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}}
\newlabel{sec:intro}{{1}{1}}
\newlabel{eq:lambda}{{1}{1}}
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\newlabel{eq:H1}{{3}{1}}
\citation{Kendall2}
\newlabel{eq:muhat}{{4}{2}}
\newlabel{eq:sigmamu}{{5}{2}}
\newlabel{eq:sigma0}{{6}{2}}
\newlabel{eq:sigma1}{{7}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Definition of the test statistic $q$ and distribution for $\sigma _0 = \sigma _1$}{2}}
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\newlabel{eq:likelihood}{{8}{2}}
\citation{asimov}
\newlabel{eq:qdef}{{9}{3}}
\newlabel{eq:qequalsig}{{10}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Distribution of $q$ for $\sigma _0 \not =\sigma _1$}{3}}
\newlabel{sec:qdist}{{3}{3}}
\newlabel{eq:xm}{{13}{3}}
\newlabel{eq:qm}{{14}{3}}
\newlabel{eq:xpm}{{15}{3}}
\newlabel{eq:qpp}{{16}{3}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces {\relax \fontsize  {9}{11}\selectfont  \abovedisplayskip 8\p@ plus2\p@ minus4\p@ \abovedisplayshortskip \z@ plus\p@ \belowdisplayshortskip 4\p@ plus2\p@ minus2\p@ \def \leftmargin \leftmargini \parsep 4.5\p@ plus2\p@ minus\p@ \topsep 9\p@ plus3\p@ minus5\p@ \itemsep 4.5\p@ plus2\p@ minus\p@ {\leftmargin \leftmargini \topsep 4\p@ plus2\p@ minus2\p@ \parsep 2\p@ plus\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip The test statistic $q$ as a function of the measured variable $x$. The curve has been computed using $\mu _0 = 0$, $\mu _1 = 1$, $\sigma _0 = 0.632$ and $\sigma _1 = 0.775$, which result from Eqs.\nobreakspace  {}(6\hbox {}) and (7\hbox {}) using $s = 5$ and $b = 10$. } \label {fig:qvsx}}}{4}}
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\newlabel{eq:qdist1}{{17}{4}}
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\@writefile{toc}{\contentsline {section}{\numberline {4}Cumulative distribution of $q$}{4}}
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\bibcite{asimov}{1}
\bibcite{Kendall2}{2}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces \relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \parsep 4.5\p@ plus2\p@ minus\p@ \topsep 9\p@ plus3\p@ minus5\p@ \itemsep 4.5\p@ plus2\p@ minus\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip Distributions of $q$ given values of $\mu = 0$ and $\mu =1$ using values of $\sigma _0$ and $\sigma _1$ based on the values of $s$ and $b$ shown. These give $\sigma _0 = 0.632$ and $\sigma _1 = 0.775$ for (a) and $\sigma _0 = 0.5$ and $\sigma _1 = 0.548$ for (b).}}{5}}
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\newlabel{eq:cumul2}{{21}{5}}
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