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corrected some pages
Several small corrections were done to several proofs and definitions.
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P/bin-test.md

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@@ -92,7 +92,7 @@ $$ \label{eq:y-cvals}
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\end{split}
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$$
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Given the test statistic's CDF in \eqref{eq:y-cdf}, this is fulfilled by the values $c_1$ and $c_2$ defined in \eqref{eq:bin-test-c1} and \eqref{eq:bin-test-c2}. Thus, the null hypothesis $H_0$ [can be rejected](/D/cval), if the [observed test statistic](/D/test) is inside the rejection region:
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Given the test statistic's CDF in \eqref{eq:y-cdf}, this is fulfilled by the values $c_1$ and $c_2$ defined in \eqref{eq:bin-test-c1} and \eqref{eq:bin-test-c2}. Thus, the null hypothesis $H_0$ [can be rejected](/D/cval), if the [observed test statistic is inside the rejection region](/D/test):
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$$ \label{eq:bin-test-rej-qed}
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y \in \left\lbrace 0, \ldots, c_1 \right\rbrace \cup \left\lbrace c_2, \ldots, n \right\rbrace \; .

P/dent-addvec.md

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@@ -14,6 +14,12 @@ topic: "Differential entropy"
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theorem: "Addition upon matrix multiplication"
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sources:
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- authors: "Cover, Thomas M. & Thomas, Joy A."
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year: 1991
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title: "Properties of Differential Entropy, Relative Entropy, and Mutual Information"
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in: "Elements of Information Theory"
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pages: "sect. 8.6, p. 253"
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url: "https://www.google.de/books/edition/Elements_of_Information_Theory/j0DBDwAAQBAJ"
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- authors: "Wikipedia"
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year: 2021
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title: "Differential entropy"

P/prob-tot.md

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in: "Kendall's Advanced Theory of Statistics, Vol. 1: Distribution Theory"
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pages: "p. 288, eq. (d); p. 289, eq. 8.7"
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url: "https://www.wiley.com/en-us/Kendall%27s+Advanced+Theory+of+Statistics%2C+3+Volumes%2C+Set%2C+6th+Edition-p-9780470669549"
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- authors: "Alan Stuart & J. Keith Ord"
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year: 1994
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title: "Probability and Statistical Inference"
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in: "Kendall's Advanced Theory of Statistics, Vol. 1: Distribution Theory"
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pages: "ch. 8.6, p. 289, eq. 8.7"
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url: "https://www.wiley.com/en-us/Kendall%27s+Advanced+Theory+of+Statistics%2C+3+Volumes%2C+Set%2C+6th+Edition-p-9780470669549"
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- authors: "Wikipedia"
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year: 2021
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title: "Law of total probability"

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