Probability

<body topmargin="0" leftmargin="0" stylesrc="../_private/template_title.htm" bgcolor="#FFFFFF" link="#333366" vlink="#000000" alink="#000000"> <table border="0" cellspacing="0" width="100%" cellpadding="10" style="border-collapse: collapse" bordercolor="#111111" id="table2"> <tr> <td width="100%" bgcolor="#FFFFCC"> <p class="header_black">Mathematics: <span class="header_gold">Probability</span></td> </tr> </table> <div align="left"> <table border="0" cellspacing="4" style="border-collapse: collapse" bordercolor="#111111" width="100%" cellpadding="0" id="table3"> <tr> <td width="740" bgcolor="#FFFFFF"> <div align="center"> <table border="0" cellpadding="10" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="468" id="table4"> <tr> <td> <script type="text/javascript"></script> <script type="text/javascript" src="http://pagead2.googlesyndication.com/pagead/show_ads.js"> </script> </td></tr> </table> <table border="0" cellpadding="6" cellspacing="0" height="206" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table5"> <tr> <td valign="top" align="right" height="198" width="150"> <p align="left"> <map name="FPMap312"> <area href="../titles/evans_hastings_peacock_(2000).htm" shape="rect" coords="0, 0, 116, 199"> </map> <img border="0" src="../images/book_evans.gif" usemap="#FPMap312" width="117" height="200"></td> <td valign="top" align="left" height="198"> <table border="0" cellspacing="1" style="border-collapse: collapse" bordercolor="#111111" cellpadding="0" width="100%" id="table6"> <tr> <td width="100%"> <p class="book_title"> Statistical Distributions</td> </tr> <tr> <td width="102%" class="book_details_tags" valign="top" height="16" align="left"> <table border="0" cellpadding="2" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table7"> <tr> <td width="100%" colspan="3"> <p class="book_details">M. Evans, N. Hastings, B. Peacock </td> </tr> <tr> <td width="50" class="book_details_tags"> <map name="FPMap246"> <area href="../main/ratings.htm" shape="rect" coords="0, 0, 89, 15"> </map> <img border="0" src="../images/star_5.gif" usemap="#FPMap246" width="90" height="16"></td> <td width="50" class="book_details_tags"> <map name="FPMap309"> <area href="../main/ratings.htm" shape="rect" coords="0, 0, 89, 15"> </map><img border="0" src="../images/tech_2.gif" usemap="#FPMap309" width="90" height="16"></td> <td width="100%" class="book_details_tags"> <p align="right"><map name="FPMap313"> <area target="_self" href="../titles/evans_hastings_peacock_(2000).htm" shape="rect" coords="0, 0, 90, 25" > </map> <img border="0" src="../images/pointer_review.gif" usemap="#FPMap313" width="90" height="25" ></td> </tr> </table> </td> </tr> <tr> <td class="book_details_tags" valign="top" align="left"> <p class="body">This is a handy reference providing essential formulas for important probability distributions. What is the moment generating function for the exponential distribution? How do you calculate the kurtosis of a lognormal distribution? If you square a normally distributed random variable, what distribution describes the result? ... <a href="../titles/evans_hastings_peacock_(2000).htm">Read more</a></td> </tr> </table> </td> </tr> </table> </div> <div align="center"> <table border="0" cellpadding="6" cellspacing="0" height="206" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table8"> <tr> <td valign="top" align="right" height="198" width="150"> <p align="left"> <map name="FPMap314"> <area href="../titles/degroot_m_(2002).htm" shape="rect" coords="0, 0, 162, 199"> </map> <img border="0" src="../images/book_degroot_and_schervish_(2002).jpg" usemap="#FPMap314" width="163" height="200"></td> <td valign="top" align="left" height="198"> <table border="0" cellspacing="1" style="border-collapse: collapse" bordercolor="#111111" cellpadding="0" width="100%" id="table9"> <tr> <td width="100%"> <p class="book_title">Probability and Statistics</td> </tr> <tr> <td width="102%" class="book_details_tags" valign="top" height="16" align="left"> <table border="0" cellpadding="2" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table10"> <tr> <td width="100%" colspan="3"> <p class="book_details">Morris H. Degroot and Mark J. Schervish </td> </tr> <tr> <td width="50" class="book_details_tags"> <map name="FPMap315"> <area href="../main/ratings.htm" shape="rect" coords="0, 0, 89, 15"> </map> <img border="0" src="../images/star_5.gif" usemap="#FPMap315" width="90" height="16"></td> <td width="50" class="book_details_tags"> <map name="FPMap316"> <area href="../main/ratings.htm" shape="rect" coords="0, 0, 89, 15"> </map><img border="0" src="../images/tech_3.gif" usemap="#FPMap316" width="90" height="16"></td> <td width="100%" class="book_details_tags"> <p align="right"><map name="FPMap317"> <area target="_self" href="../titles/degroot_m_(2002).htm" shape="rect" coords="0, 0, 90, 25" > </map> <img border="0" src="../images/pointer_review.gif" usemap="#FPMap317" width="90" height="25" ></td> </tr> </table> </td> </tr> <tr> <td class="book_details_tags" valign="top" align="left"> <p class="body">This is a standard introduction to probability and statistics. If you are new to probability or you can't remember what a probability density function is, this is the perfect book for self study. DeGroot and Schervish takes a non-measure-theoretic approach to probability. Topics include ... <a href="../titles/degroot_m_(2002).htm">Read more</a></td> </tr> </table> </td> </tr> </table> </div> <div align="center"> <table border="0" cellpadding="6" cellspacing="0" height="206" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table11"> <tr> <td valign="top" align="right" height="198" width="150"> <p align="left"> <map name="FPMap452"> <area href="../titles/nelsen_r_(1999).htm" shape="rect" coords="0, 0, 128, 199"> </map> <img border="0" src="../images/book_nelson_r_(1999).gif" usemap="#FPMap452" width="129" height="200"></td> <td valign="top" align="left" height="198"> <table border="0" cellspacing="1" style="border-collapse: collapse" bordercolor="#111111" cellpadding="0" width="100%" id="table12"> <tr> <td width="100%"> <p class="book_title">An Introduction to Copulas</td> </tr> <tr> <td width="102%" class="book_details_tags" valign="top" height="16" align="left"> <table border="0" cellpadding="2" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table13"> <tr> <td width="100%" colspan="3"> <p class="book_details">Roger B. Nelsen</td> </tr> <tr> <td width="50" class="book_details_tags"> <map name="FPMap329"> <area href="../main/ratings.htm" shape="rect" coords="0, 0, 89, 15"> </map> <img border="0" src="../images/star_5.gif" usemap="#FPMap329" width="90" height="16"></td> <td width="50" class="book_details_tags"> <map name="FPMap2"> <area href="../main/ratings.htm" shape="rect" coords="0, 0, 89, 15"> </map> <img border="0" src="../images/tech_4.gif" usemap="#FPMap2" width="90" height="16"></td> <td width="100%" class="book_details_tags"> <p align="right"><map name="FPMap330"> <area target="_self" href="../titles/nelsen_r_(1999).htm" shape="rect" coords="0, 0, 90, 25" > </map> <img border="0" src="../images/pointer_review.gif" usemap="#FPMap330" width="90" height="25" ></td> </tr> </table> </td> </tr> <tr> <td class="book_details_tags" valign="top" align="left"> <p class="body"><strong style="font-weight: 400">Copulas are constructs of probability theory that have attracted increased attention in the past few decades. In only the past few years, financial professionals have turned to them for modeling high-dimensional problems, such as value-at-risk or portfolio credit risk </strong>... <a href="../titles/nelsen_r_(1999).htm">Read more</a></td> </tr> </table> </td> </tr> </table> </div> <div align="center"> <div align="center"> <table border="0" cellpadding="6" cellspacing="0" height="206" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table14"> <tr> <td valign="top" align="right" height="198" width="150"> <p align="left"> <map name="FPMap446"> <area href="../titles/williams_david_1995.htm" shape="rect" coords="0, 0, 131, 199"> </map> <img border="0" src="../images/book_williams_david_1991.gif" usemap="#FPMap446" width="132" height="200"></td> <td valign="top" align="left" height="198"> <table border="0" cellspacing="1" style="border-collapse: collapse" bordercolor="#111111" cellpadding="0" width="100%" id="table15"> <tr> <td width="100%"> <p class="book_title">Probability with Martingales</td> </tr> <tr> <td width="102%" class="book_details_tags" valign="top" height="16" align="left"> <table border="0" cellpadding="2" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table16"> <tr> <td width="100%" colspan="3"> <p class="book_details">David Williams</td> </tr> <tr> <td width="50" class="book_details_tags"> <map name="FPMap241"> <area target="_self" href="http://www.riskbook.com/main/ratings.htm" shape="rect" coords="0, 0, 89, 15"> </map> <img border="0" src="../images/star_5.gif" usemap="#FPMap241" width="90" height="16"></td> <td width="50" class="book_details_tags"> <map name="FPMap445"> <area target="_self" coords="1, 0, 89, 15" shape="rect" href="http://www.riskbook.com/main/ratings.htm"> </map> <img border="0" src="../images/tech_5.gif" usemap="#FPMap445" width="90" height="16"></td> <td width="100%" class="book_details_tags"> <p align="right"><map name="FPMap447"> <area target="_self" href="../titles/williams_david_1995.htm" shape="rect" coords="0, 0, 90, 25" > </map> <img border="0" src="../images/pointer_review.gif" usemap="#FPMap447" width="90" height="25" ></td> </tr> </table> </td> </tr> <tr> <td class="book_details_tags" valign="top" align="left"> <p class="body"><strong style="font-weight: 400">This is a popular book for quantitative professionals who want to master measure-theoretic probability before proceeding to stochastic calculus. A set of lecture notes converted to book form, it is a minimalist treatment that emphasizes the study of martingales. It is far shorter than Billingsley (<a href="../titles/billingsley_patrick_1995.htm">1995</a>) or even Resnick (<a href="../titles/resnick_s_(1999).htm">1999</a>), but is just as authoritative as those book</strong> ... <a href="../titles/williams_david_1995.htm">Read more</a></td> </tr> </table> </td> </tr> </table> </div> <table border="0" cellpadding="6" cellspacing="0" height="206" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table17"> <tr> <td valign="top" align="right" height="198" width="150"> <p align="left"> <map name="FPMap322"> <area coords="0, 0, 126, 199" shape="rect" href="../titles/resnick_s_(1999).htm"> </map> <img border="0" src="../images/book_resnick.gif" usemap="#FPMap322" width="127" height="200"></td> <td valign="top" align="left" height="198"> <table border="0" cellspacing="1" style="border-collapse: collapse" bordercolor="#111111" cellpadding="0" width="100%" id="table18"> <tr> <td width="100%"> <p class="book_title">A Probability Path</td> </tr> <tr> <td width="102%" class="book_details_tags" valign="top" height="16" align="left"> <table border="0" cellpadding="2" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table19"> <tr> <td width="100%" colspan="3"> <p class="book_details">Sidney I. Resnick</td> </tr> <tr> <td width="50" class="book_details_tags"> <map name="FPMap323"> <area coords="2, 1, 89, 15" shape="rect" href="../main/ratings.htm"> </map> <img border="0" src="../images/star_6.gif" usemap="#FPMap323" width="90" height="16"></td> <td width="50" class="book_details_tags"> <map name="FPMap324"> <area coords="1, 0, 89, 15" shape="rect" href="../main/ratings.htm"> </map><img border="0" src="../images/tech_5.gif" usemap="#FPMap324" width="90" height="16"></td> <td width="100%" class="book_details_tags"> <p align="right"><map name="FPMap325"> <area target="_self" href="../titles/resnick_s_(1999).htm" shape="rect" coords="0, 0, 90, 25" > </map> <img border="0" src="../images/pointer_review.gif" usemap="#FPMap325" width="90" height="25" ></td> </tr> </table> </td> </tr> <tr> <td class="book_details_tags" valign="top" align="left"> <p class="body">Many practitioners are familiar with elementary probability theory, but need to learn stochastic calculus. Between these two topics, there is a vast gulf of knowledge that needs to be filled in. The linchpin is a measure-theoretic treatment of probability theory. Many texts ... <a href="../titles/resnick_s_(1999).htm">Read more</a></td> </tr> </table> </td> </tr> </table> <div align="center"> <table border="0" cellpadding="6" cellspacing="0" height="206" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table20"> <tr> <td valign="top" align="right" height="198" width="150"> <p align="left"> <map name="FPMap448"> <area href="../titles/billingsley_patrick_1995.htm" shape="rect" coords="0, 0, 131, 199"> </map> <img border="0" src="../images/book_billingsley_1995.gif" usemap="#FPMap448" width="132" height="200"></td> <td valign="top" align="left" height="198"> <table border="0" cellspacing="1" style="border-collapse: collapse" bordercolor="#111111" cellpadding="0" width="100%" id="table21"> <tr> <td width="100%"> <p class="book_title">Probability and Measure</td> </tr> <tr> <td width="102%" class="book_details_tags" valign="top" height="16" align="left"> <table border="0" cellpadding="2" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table22"> <tr> <td width="100%" colspan="3"> <p class="book_details">Patrick Billingsley</td> </tr> <tr> <td width="50" class="book_details_tags"> <map name="FPMap449"> <area target="_self" href="http://www.riskbook.com/main/ratings.htm" shape="rect" coords="0, 0, 89, 15"> </map> <img border="0" src="../images/star_5.gif" usemap="#FPMap449" width="90" height="16"></td> <td width="50" class="book_details_tags"> <map name="FPMap450"> <area target="_self" coords="1, 0, 89, 15" shape="rect" href="http://www.riskbook.com/main/ratings.htm"> </map> <img border="0" src="../images/tech_5.gif" usemap="#FPMap450" width="90" height="16"></td> <td width="100%" class="book_details_tags"> <p align="right"><map name="FPMap451"> <area target="_self" href="../titles/billingsley_patrick_1995.htm" shape="rect" coords="0, 0, 90, 25" > </map> <img border="0" src="../images/pointer_review.gif" usemap="#FPMap451" width="90" height="25" ></td> </tr> </table> </td> </tr> <tr> <td class="book_details_tags" valign="top" align="left"> <p class="body"><strong style="font-weight: 400">There are plenty of standard texts introducing measure-theoretic probability. Billingsley is easily the most cited. Like many books, it assuming no prior knowledge of measure theory, teaching it alongside probability theory</strong> ... <a href="../titles/billingsley_patrick_1995.htm">Read more</a></td> </tr> </table> </td> </tr> </table> <table border="0" cellpadding="10" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="468" id="table23"> <tr> <td> <script type="text/javascript"></script> <script type="text/javascript" src="http://pagead2.googlesyndication.com/pagead/show_ads.js"> </script> </td></tr> </table> </div> </div> </td> <td bgcolor="#FFFFFF">  </td> </tr> </table> </div> <div align="center"> <center> <table border="0" cellpadding="10" cellspacing="0" style="border-collapse: collapse" bordercolor="#111111" width="100%" id="table24"> <tr> <td width="50%" bgcolor="#FFFFCC" align="left" valign="top"> <script type="text/javascript"></script> <script type="text/javascript" src="http://pagead2.googlesyndication.com/pagead/show_ads.js"> </script> </td><td width="50%" bgcolor="#CCCCFF" align="left" valign="top"> <p class="body" style="margin-bottom: 6; 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