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Additional codes for the Fourier-Malliavin estimator library
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SS authored and SS committed May 24, 2024
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</pre></p></div></div></div><p> </p></div></div></div><div class="ref_sect" itemprop="content"><h2 id="Inputs">Input Arguments</h2><div class="expandableContent"><div class="arguments"><div class="input_argument_container"><p class="switch"><a class="expandAllLink" href="javascript:void(0);">expand all</a></p><div class="expandableContent"> <div id="inputarg_n" class="clearfix"> </div> <h3 id="input_argument_n" class="expand"> <span> <a href="javascript:void(0);" style="display: block;" title="Expand/Collapse"> <span class="argument_name"><code>n</code> &#8212; Number of elements. </span> </a><span class="example_desc">Non negative integer.</span></span></h3> <div class="collapse"> <p></p> <p class="datatypelist"><strong> Data Types: </strong><code>single|double</code></p> </div> </div><div class="expandableContent"> <div id="inputarg_k" class="clearfix"> </div> <h3 id="input_argument_k" class="expand"> <span> <a href="javascript:void(0);" style="display: block;" title="Expand/Collapse"> <span class="argument_name"><code>k</code> &#8212; Items to choose from the set of n elements. </span> </a><span class="example_desc">Non negative integer.</span></span></h3> <div class="collapse"> <p></p> <p class="datatypelist"><strong> Data Types: </strong><code>single|double</code></p> </div> </div></div></div></div></div><div class="ref_sect" itemprop="content"><h2 id="OutputArgs" >Output Arguments</h2><div class="expandableContent"><div class="arguments"><div class="output_argument_container"><p class="switch"><a class="expandAllLink" href="javascript:void(0);">expand all</a></p><div class="expandableContent"><div id="outputarg_c" class="clearfix"></div><h3 id="output_argument_c" class="expand"><span><a href="javascript:void(0);" style="display: block;" title="Expand/Collapse"><span class="argument_name"><code>c</code> &#8212;The binomial coefficient $n!/k!(n-k)!$.</span></a><span class="example_desc">Integer</span></span></h3><div class="collapse"><p><p> This is the
coefficient of the $x^k$ term in the polynomial expansion of
the binomial power $(1 + x)^n$. This is also the so called
choose function of n and k (nchoosek in MATLAB), i.e. the
number of k-element subsets (the k-combinations) of a set of n
objects. When a coefficient is large, results may be inexact.</p> <p>
The result is only accurate to 15 digits for double-precision
inputs in 32bits computers.</p></p></div></div></div></div></div></div><div class="ref_sect" itemprop="content"><div class="bibliography"><h2 id="References">References</h2> <div><p>Knuth, D. E. (1997). "The Art of Computer Programming", Volume 1:
Fundamental Algorithms, Third ed. Addison-Wesley. [pp. 52--74].</p></div></div></div><div class="ref_sect" itemprop="content"><div class="bibliography"><h2 id="Acknowledgements">Acknowledgements</h2> <div><p>

Matlab function bc has been adapted to this toolbox by FSDA team

</pre></p></div></div></div><p> </p></div></div></div><div class="ref_sect" itemprop="content"><h2 id="Inputs">Input Arguments</h2><div class="expandableContent"><div class="arguments"><div class="input_argument_container"><p class="switch"><a class="expandAllLink" href="javascript:void(0);">expand all</a></p><div class="expandableContent"> <div id="inputarg_n" class="clearfix"> </div> <h3 id="input_argument_n" class="expand"> <span> <a href="javascript:void(0);" style="display: block;" title="Expand/Collapse"> <span class="argument_name"><code>n</code> &#8212; Number of elements. </span> </a><span class="example_desc">Non negative integer.</span></span></h3> <div class="collapse"> <p></p> <p class="datatypelist"><strong> Data Types: </strong><code>single|double</code></p> </div> </div><div class="expandableContent"> <div id="inputarg_k" class="clearfix"> </div> <h3 id="input_argument_k" class="expand"> <span> <a href="javascript:void(0);" style="display: block;" title="Expand/Collapse"> <span class="argument_name"><code>k</code> &#8212; Items to choose from the set of n elements. </span> </a><span class="example_desc">Non negative integer.</span></span></h3> <div class="collapse"> <p></p> <p class="datatypelist"><strong> Data Types: </strong><code>single|double</code></p> </div> </div></div></div></div></div><div class="ref_sect" itemprop="content"><h2 id="OutputArgs" >Output Arguments</h2><div class="expandableContent"><div class="arguments"><div class="output_argument_container"><p class="switch"><a class="expandAllLink" href="javascript:void(0);">expand all</a></p><div class="expandableContent"><div id="outputarg_c" class="clearfix"></div><h3 id="output_argument_c" class="expand"><span><a href="javascript:void(0);" style="display: block;" title="Expand/Collapse"><span class="argument_name"><code>c</code> &#8212;The binomial coefficient $n!/k!(n-k)!$.</span></a><span class="example_desc">Integer</span></span></h3><div class="collapse"><p><p> This is the
coefficient of the $x^k$ term in the polynomial expansion of
the binomial power $(1 + x)^n$. This is also the so called
choose function of n and k (nchoosek in MATLAB), i.e. the
number of k-element subsets (the k-combinations) of a set of n
objects. When a coefficient is large, results may be inexact.</p> <p>
The result is only accurate to 15 digits for double-precision
inputs in 32bits computers.</p></p></div></div></div></div></div></div><div class="ref_sect" itemprop="content"><div class="bibliography"><h2 id="References">References</h2> <div><p>Knuth, D. E. (1997). "The Art of Computer Programming", Volume 1:
Fundamental Algorithms, Third ed. Addison-Wesley. [pp. 52--74].</p></div></div></div><div class="ref_sect" itemprop="content"><div class="bibliography"><h2 id="Acknowledgements">Acknowledgements</h2> <div><p>

Matlab function bc has been adapted to this toolbox by FSDA team

</p></div></div></div><div class="ref_sect"><h2 id="SeeAlso">See Also</h2><p><span itemprop="seealso"><a href="matlab:web(fullfile(docroot,'matlab/ref/nchoosek.html'))" itemprop="url"><span itemprop="name"><code>nchoosek</code></span></a></span></div><i>This page has been automatically generated by our routine <a href="publishFS.html">publishFS</a></i></div></section></div></div></div></div><div id="divbottom"></div></body></html>
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