add some sections to chapter 1.

[these_qian.git] / these.mtc4

{\reset@font\mtcSfont\mtc@string\contentsline{section}{\noexpand \leavevmode \numberline {4.1}Some famous statistical tests of random number generators}{\reset@font\mtcSfont 36}{section.10.1}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.1.1}NIST statistical test suite}{\reset@font\mtcSSfont 36}{subsection.10.1.1}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.1.2}Diehard battery of tests}{\reset@font\mtcSSfont 37}{subsection.10.1.2}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.1.3}Comparative test parameters}{\reset@font\mtcSSfont 38}{subsection.10.1.3}}
{\reset@font\mtcPfont\mtc@string\contentsline{paragraph}{\noexpand \leavevmode \numberline {4.1.3.0.1}Frequency test (monobit test)}{\reset@font\mtcPfont 38}{paragraph.10.1.3.0.1}}
{\reset@font\mtcPfont\mtc@string\contentsline{paragraph}{\noexpand \leavevmode \numberline {4.1.3.0.2}Serial test (2-bit test)}{\reset@font\mtcPfont 39}{paragraph.10.1.3.0.2}}
{\reset@font\mtcPfont\mtc@string\contentsline{paragraph}{\noexpand \leavevmode \numberline {4.1.3.0.3}Poker test}{\reset@font\mtcPfont 39}{paragraph.10.1.3.0.3}}
{\reset@font\mtcPfont\mtc@string\contentsline{paragraph}{\noexpand \leavevmode \numberline {4.1.3.0.4}Runs test}{\reset@font\mtcPfont 39}{paragraph.10.1.3.0.4}}
{\reset@font\mtcPfont\mtc@string\contentsline{paragraph}{\noexpand \leavevmode \numberline {4.1.3.0.5}Autocorrelation test}{\reset@font\mtcPfont 39}{paragraph.10.1.3.0.5}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.1.4}TestU01 Statistical Test}{\reset@font\mtcSSfont 39}{subsection.10.1.4}}
{\reset@font\mtcSfont\mtc@string\contentsline{section}{\noexpand \leavevmode \numberline {4.2}Test results for some PRNGs}{\reset@font\mtcSfont 43}{section.10.2}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.2.1}Results of NIST}{\reset@font\mtcSSfont 43}{subsection.10.2.1}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.2.2}Results of Diehard}{\reset@font\mtcSSfont 43}{subsection.10.2.2}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.2.3}Results of comparative test parameters}{\reset@font\mtcSSfont 44}{subsection.10.2.3}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.2.4}Results of TestU01}{\reset@font\mtcSSfont 44}{subsection.10.2.4}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.2.5}Conclusion}{\reset@font\mtcSSfont 44}{subsection.10.2.5}}
{\reset@font\mtcSfont\mtc@string\contentsline{section}{\noexpand \leavevmode \numberline {4.3}Test results and comparative analysis for old CI}{\reset@font\mtcSfont 46}{section.10.3}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.3.1}How to choose good parameters}{\reset@font\mtcSSfont 46}{subsection.10.3.1}}
{\reset@font\mtcSSSfont\mtc@string\contentsline{subsubsection}{\noexpand \leavevmode \numberline {4.3.1.1}Small Crush test and correlation with $k$}{\reset@font\mtcSSSfont 46}{subsubsection.10.3.1.1}}
{\reset@font\mtcSSSfont\mtc@string\contentsline{subsubsection}{\noexpand \leavevmode \numberline {4.3.1.2}Correlation between TestU01 results and $\mathsf {N}$}{\reset@font\mtcSSSfont 46}{subsubsection.10.3.1.2}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.3.2}Results of NIST}{\reset@font\mtcSSfont 46}{subsection.10.3.2}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.3.3}Results of Diehard}{\reset@font\mtcSSfont 48}{subsection.10.3.3}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.3.4}Results of comparative test parameters}{\reset@font\mtcSSfont 48}{subsection.10.3.4}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.3.5}Results of TestU01}{\reset@font\mtcSSfont 48}{subsection.10.3.5}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.3.6}Conclusion}{\reset@font\mtcSSfont 50}{subsection.10.3.6}}
{\reset@font\mtcSfont\mtc@string\contentsline{section}{\noexpand \leavevmode \numberline {4.4}Test results and comparative analysis for new CI}{\reset@font\mtcSfont 51}{section.10.4}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.4.1}Results of NIST}{\reset@font\mtcSSfont 51}{subsection.10.4.1}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.4.2}Results of Diehard}{\reset@font\mtcSSfont 51}{subsection.10.4.2}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.4.3}Results of comparative test parameters}{\reset@font\mtcSSfont 52}{subsection.10.4.3}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.4.4}Results of TestU01}{\reset@font\mtcSSfont 52}{subsection.10.4.4}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.4.5}Conclusion}{\reset@font\mtcSSfont 52}{subsection.10.4.5}}
{\reset@font\mtcSfont\mtc@string\contentsline{section}{\noexpand \leavevmode \numberline {4.5}Assessment of two chaotic iterations schemes based on XORshift Generator}{\reset@font\mtcSfont 54}{section.10.5}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.5.1}NIST}{\reset@font\mtcSSfont 54}{subsection.10.5.1}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.5.2}Diehard}{\reset@font\mtcSSfont 55}{subsection.10.5.2}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.5.3}Comparative test parameters}{\reset@font\mtcSSfont 55}{subsection.10.5.3}}
{\reset@font\mtcSSfont\mtc@string\contentsline{subsection}{\noexpand \leavevmode \numberline {4.5.4}A flexible output}{\reset@font\mtcSSfont 58}{subsection.10.5.4}}