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<div class="category"><a href="index.html" title="cuRAND">cuRAND</a></div>
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<div class="section-link"><a href="introduction.html#introduction">Introduction</a></div>
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<div class="section-link"><a href="compatibility-and-versioning.html#compatibility-and-versioning">1. Compatibility and Versioning</a></div>
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<div class="section-link"><a href="host-api-overview.html#host-api-overview">2. Host API Overview</a></div>
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<div class="section-link"><a href="host-api-overview.html#generator-types">2.1. Generator Types</a></div>
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<div class="section-link"><a href="host-api-overview.html#seed">2.2.1. Seed</a></div>
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<div class="section-link"><a href="host-api-overview.html#performance-notes2">2.7. Performance Notes</a></div>
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<div class="section-link"><a href="device-api-overview.html#pseudorandom-sequences">3.1. Pseudorandom Sequences</a></div>
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<div class="section-link"><a href="device-api-overview.html#bit-generation-3">3.1.3. Bit Generation with Philox_4x32_10 generator</a></div>
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<div class="section-link"><a href="device-api-overview.html#distributions">3.1.4. Distributions</a></div>
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<div class="section-link"><a href="device-api-overview.html#quasirandom-sequences">3.2. Quasirandom Sequences</a></div>
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<div class="section-link"><a href="device-api-overview.html#device-api-for-discrete-distributions">3.4. Device API for discrete distributions</a></div>
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<div class="section-link"><a href="device-api-overview.html#poisson-api-example">3.8. Poisson API Example</a></div>
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<div class="section-link"><a href="testing.html#testing">4. Testing</a></div>
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<div class="section-link"><a href="group__DEVICE.html#group__DEVICE">5.2. Device API</a></div>
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<div class="section-link"><a href="bibliography.html#bibliography">A. Bibliography</a></div>
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<div class="section-link"><a href="acknowledgements.html#acknowledgements">B. Acknowledgements</a></div>
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<div class="section-link"><a href="notices-header.html#notices-header">Notices</a></div>
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<!-- --></a><h2 class="topictitle2">A. Bibliography</h2>
<div class="body conbody">
<p class="p" id="bibliography__saito"><a name="bibliography__saito" shape="rect">
<!-- --></a>[1] Mutsuo Saito. A Variant of Mersenne Twister Suitable for Graphic Processors. <cite class="cite">arXiv:1005.4973v2 [cs.MS]</cite>, Jun 2010.
</p>
<p class="p" id="bibliography__joekuo"><a name="bibliography__joekuo" shape="rect">
<!-- --></a>[2] S. Joe and F. Y. Kuo. Remark on Algorithm 659: Implementing Sobol's quasirandom sequence generator. <cite class="cite">ACM Transactions on Mathematical Software</cite>, 29:49-57, March 2003.
</p>
<p class="p" id="bibliography__matousek"><a name="bibliography__matousek" shape="rect">
<!-- --></a>[3] Jiri Matousek. Journal of Complexity. <cite class="cite">ACM Transactions on Mathematical Software</cite>, 14(4):527-556, December 1998.
</p>
<p class="p" id="bibliography__owen"><a name="bibliography__owen" shape="rect">
<!-- --></a>[4] Art B. Owen. Local Antithetic Sampling with Scrambled Nets. <cite class="cite">The Annals of Statistics</cite>, 36(5):2319-2343, 2008.
</p>
<p class="p" id="bibliography__xorwow"><a name="bibliography__xorwow" shape="rect">
<!-- --></a>[5] George Marsaglia. Xorshift RNGs. <cite class="cite">Journal of Statistical Software</cite>, 8(14), 2003. Available at <a class="xref" href="http://www.jstatsoft.org/v08/i14/paper" target="_blank" shape="rect">http://www.jstatsoft.org/v08/i14/paper</a>.
</p>
<p class="p" id="bibliography__testu01"><a name="bibliography__testu01" shape="rect">
<!-- --></a>[6] Pierre L'Ecuyer and Richard Simard. TestU01: A C library for empirical testing of random number generators. <cite class="cite">ACM Transactions on Mathematical Software</cite>, 33(4), August 2007. Available at <a class="xref" href="http://www.iro.umontreal.ca/~lecuyer/myftp/papers/testu01.pdf" target="_blank" shape="rect">http://www.iro.umontreal.ca/~lecuyer/myftp/papers/testu01.pdf</a>.
</p>
<p class="p" id="bibliography__nist"><a name="bibliography__nist" shape="rect">
<!-- --></a>[7] Andrew Rukhin and Juan Soto and James Nechvatal and Miles Smid and Elaine
Barker and Stefan Leigh and Mark Levenson and Mark Vangel and David Banks and Alan
Heckert and James Dray and San Vo. "A Statistical Test Suite for the Validation of
Random Number Generators and Pseudorandom Number Generators
for Cryptographic Applications. Special Publication 800-22 Revision 1a, National Institute of Standards and Technology, April
2010. <a class="xref" href="http://csrc.nist.gov/groups/ST/toolkit/rng/index.html" target="_blank" shape="rect">http://csrc.nist.gov/groups/ST/toolkit/rng/index.html</a>.
</p>
<p class="p" id="bibliography__matsumoto"><a name="bibliography__matsumoto" shape="rect">
<!-- --></a>[8] M. Matsumoto and T. Nishimura. Mersenne Twister: A 623-dimensionally equidistributed uniform pseudorandom number generator.
<cite class="cite">ACM Transactions on Modeling and Computer Simulation</cite>, 8(1):3-30, January 1988.
</p>
<p class="p" id="bibliography__lecuyer"><a name="bibliography__lecuyer" shape="rect">
<!-- --></a>[9] Pierre L'Ecuyer. Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators. <cite class="cite">Operations Research</cite>, 47(1), Jan-Feb 1999.
</p>
<p class="p" id="bibliography__lecuyer-simard"><a name="bibliography__lecuyer-simard" shape="rect">
<!-- --></a>[10] Pierre L'Ecuyer and Richard Simard and E. Jack Chen and W. David Kelton. An Object-Oriented Random-Number Package with
Many Long Streams and Substreams. <cite class="cite">Operations Research</cite>, 50(6), Nov-Dec 2002.
</p>
<p class="p" id="bibliography__pearson"><a name="bibliography__pearson" shape="rect">
<!-- --></a>[11] Karl Pearson. On the criterion that a given system of deviations from the probable in the case of a correlated system
of variables is such that it can be reasonably supposed to have arisen from random sampling. <cite class="cite">Philosophical Magazine</cite>, 50(302):157-175, July 1900.
</p>
<p class="p" id="bibliography__placket"><a name="bibliography__placket" shape="rect">
<!-- --></a>[12] R. L. Placket. Karl Pearson and the chi-squared test. <cite class="cite">International Statistics Review</cite>, 51:59-72, 1983.
</p>
<p class="p" id="bibliography__jarquebera"><a name="bibliography__jarquebera" shape="rect">
<!-- --></a>[13] Carlos M. Jarque and Anil K. Bera. Efficient tests for normality, homoscedasticity and serial independence of regression
residuals. <cite class="cite">Economics Letters</cite>, 6(3):255-259, 1980.
</p>
<p class="p" id="bibliography__kolmogorov"><a name="bibliography__kolmogorov" shape="rect">
<!-- --></a>[14] A. Kolmogorov. Sulla determinazione empirica di una legge di distribuzione. <cite class="cite">G. Inst. Ital. Attuari</cite>, 4(83), 1933.
</p>
<p class="p" id="bibliography__massey"><a name="bibliography__massey" shape="rect">
<!-- --></a>[15] Frank J. Massey. The Kolmogorov-Smirnov test for goodness of fit. <cite class="cite">Journal of the American Statistical Association</cite>, 46(253):68-78, 1951.
</p>
<p class="p" id="bibliography__anderson"><a name="bibliography__anderson" shape="rect">
<!-- --></a>[16] T. W. Anderson and D. A. Darling. Asymptotic theory of certain "goodness-of-fit" criteria based on stochastic processes.
<cite class="cite">Annals of Mathematical Statistics</cite>, 23(2):193-212, 1952.
</p>
<p class="p" id="bibliography__shaw"><a name="bibliography__shaw" shape="rect">
<!-- --></a>[17] John. K. Salmon, Mark A. Moraes, Ron O. Dror, and David E. Shaw. Parallel Random Numbers: As Easy as 1, 2, 3 <cite class="cite">D.E Shaw Research, New York, NY 10036, USA</cite>, 2011.
</p>
<p class="p" id="bibliography__tredak"><a name="bibliography__tredak" shape="rect">
<!-- --></a>[18] P. Trędak, C. Woolley. Efficient implementation of Mersenne Twister MT19937 Random Number Generator on the GPU <cite class="cite">GPU Technology Conference</cite>, 2013.
</p>
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