<html> <head> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1"> <style type="text/css" style="display:none;"> P {margin-top:0;margin-bottom:0;} </style> </head> <body dir="ltr"> <div style="font-family: Verdana, Geneva, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);"> Caros, </div> <div style="font-family: Verdana, Geneva, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);"> Gostaria de convidá-los para o seminário do prof. Eduardo Horta da UFRS, abaixo.<br> Grato</div> <div style="font-family: Verdana, Geneva, sans-serif; font-size: 12pt; color: rgb(0, 0, 0);"> Duda <br> </div> <div> <div lang="PT-BR"> <div class="x_WordSection1"> <p class="x_MsoNormal" style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;"> </p> <p class="x_MsoNormal" style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;"> </p> <table class="x_MsoNormalTable" border="0" cellspacing="0" cellpadding="0" align="left" width="100%" style="width:100.0%; background:white; margin-left:4.8pt; margin-right:4.8pt"> <tbody> <tr> <td width="100%" style="width:100.0%; padding:0cm 0cm 0cm 0cm"> <table class="x_MsoNormalTable" border="0" cellspacing="0" cellpadding="0" align="left" width="100%" style="width:100.0%; 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padding:0cm 0cm 0cm 0cm"> <table class="x_MsoNormalTable" border="0" cellspacing="0" cellpadding="0" align="left" width="100%" style="width:100.0%; background:white; margin-left:4.8pt; margin-right:4.8pt"> <tbody> <tr> <td width="100%" colspan="3" style="width:100.0%; padding:0cm 0cm 0cm 0cm"> <p class="x_xxmsonormal" align="center" style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;text-align:center; line-height:105%"> <span style="font-size:13.5pt; line-height:105%; font-family:"Arial",sans-serif; color:black"> </span></p> </td> </tr> <tr> <td width="100%" colspan="3" style="width:100.0%; padding:0cm 0cm 0cm 0cm"> <p class="x_xxmsonormal" align="center" style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;text-align:center; line-height:105%"> <span style="font-size:13.5pt; line-height:105%; font-family:"Arial",sans-serif; color:black"><img width="599" height="169" id="x__x0000_i1025" alt="cid:image001.jpg@01D5E726.E0661E60" style="width:6.2395in; height:1.7604in" data-outlook-trace="F:1|T:1" src="cid:image001.jpg@01D670BF.CD5B5E70"></span><span style="font-family:"Arial",sans-serif"></span></p> </td> </tr> <tr style="height:36.0pt"> <td width="100%" colspan="3" style="width:100.0%; padding:0cm 0cm 0cm 0cm; height:36.0pt"> </td> </tr> <tr style="height:27.0pt"> <td width="0%" style="width:.06%; padding:0cm 0cm 0cm 0cm; height:27.0pt"></td> <td width="99%" style="width:99.88%; padding:0cm 0cm 0cm 0cm; height:27.0pt"> <div align="center"> <table class="x_MsoNormalTable" border="0" cellspacing="0" cellpadding="0" width="0" style="width:450.0pt; background:#FEFEFE"> <tbody> <tr style="height:57.75pt"> <td width="600" colspan="3" style="width:450.0pt; padding:0cm 0cm 0cm 0cm; height:57.75pt"> <p class="x_xxmsonormal" align="center" style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;margin-bottom:12.0pt; text-align:center; line-height:105%"> <b><span style="font-size:14.0pt; line-height:105%; font-family:"Arial",sans-serif; color:#2F5597">Smoothing Quantile Regressions</span></b><b><span style="font-size:14.0pt; line-height:105%; font-family:"Arial",sans-serif"></span></b></p> </td> </tr> <tr> <td width="38" style="width:28.2pt; background:transparent; padding:0cm 0cm 0cm 0cm"> <p class="x_xxmsonormal" style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;line-height:115%"> <span style="font-family:"Arial",sans-serif; color:#3B3838"> </span><span style="font-family:"Arial",sans-serif"></span></p> </td> <td width="525" style="width:393.6pt; background:transparent; padding:0cm 0cm 0cm 0cm"> <p class="x_MsoNormal" style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;text-align:justify; line-height:115%"> <span style="font-size:10.5pt; line-height:115%; font-family:"Arial",sans-serif; color:#595959">We propose to smooth the objective function, rather than only the indicator on the check function, in a linear quantile regression context. Not only does the resulting smoothed quantile regression estimator yield a lower mean squared error and a more accurate Bahadur-Kiefer representation than the standard estimator, but it is also asymptotically differentiable. We exploit the latter to propose a quantile density estimator that does not suffer from the curse of dimensionality. This means estimating the conditional density function without worrying about the dimension of the covariate vector. It also allows for two-stage efficient quantile regression estimation. Our asymptotic theory holds uniformly with respect to the bandwidth and quantile level. Finally, we propose a rule of thumb for choosing the smoothing bandwidth that should approximate well the optimal bandwidth. Simulations confirm that our smoothed quantile regression estimator indeed performs very well in finite samples.</span></p> <p class="x_MsoNormal" style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;text-align:justify; line-height:115%"> <span style="font-size:10.5pt; line-height:115%; font-family:"Arial",sans-serif; color:#595959"> </span></p> <p class="x_xxmsonormal" align="right" style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;text-align:right; line-height:115%"> <b><sup><span style="font-family:"Arial",sans-serif; color:#3B3838"> </span></sup></b><b><sup><span style="font-family:"Arial",sans-serif; color:#1F497D"> </span></sup></b><b><sup><span style="font-family:"Arial",sans-serif; color:#3B3838"> </span></sup></b><sup><span style="font-size:9.0pt; line-height:115%; font-family:"Arial",sans-serif; color:#595959">Texto informado pelo autor</span></sup><b><sup><span style="font-size:9.0pt; line-height:115%; font-family:"Arial",sans-serif; color:#3B3838">.</span></sup></b><span style="font-family:"Arial",sans-serif"></span></p> <p style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin-bottom:0cm; margin-bottom:.0001pt; text-align:justify"> <b><span style="font-family:"Arial",sans-serif; color:#1F4E79">Quando:</span></b><span style="font-family:"Arial",sans-serif"></span></p> <p class="x_xxmsonormal" style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;line-height:115%"> <span style="font-size:10.5pt; line-height:115%; font-family:"Arial",sans-serif; color:#595959">20 de Agosto de 2020, ŕs <b>16h</b></span><span style="font-family:"Arial",sans-serif; color:#595959"></span></p> <p class="x_xxmsonormal" style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;line-height:115%"> <span style="font-size:10.5pt; line-height:115%; font-family:"Arial",sans-serif; color:#595959">Via Zoom</span><span style="font-family:"Arial",sans-serif"></span></p> <p class="x_MsoNormal" style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;text-align:justify"> <span style="font-size:10.5pt; font-family:"Arial",sans-serif; color:#595959">Registre-se com antecedęncia para este seminário: <br> </span><span style="font-size:10.0pt; font-family:"Arial",sans-serif; color:black"><a href="https://ide-fgv-br.zoom.us/meeting/register/tJItf-Cvqj8iHNTLDTNN4cVvEVqVW7lN4DIS">https://ide-fgv-br.zoom.us/meeting/register/tJItf-Cvqj8iHNTLDTNN4cVvEVqVW7lN4DIS</a></span><span style="font-family:"Verdana",sans-serif; color:black"> </span></p> <p class="x_MsoNormal" style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;text-align:justify"> <span style="font-size:6.0pt; font-family:"Arial",sans-serif; color:black"> </span></p> <p class="x_MsoNormal" style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;text-align:justify"> <span style="font-size:10.5pt; font-family:"Arial",sans-serif; color:#595959">Após o registro, vocę receberá um e-mail de confirmaçăo contendo informaçőes sobre conexăo no seminário.</span><span style="font-family:"Arial",sans-serif"></span></p> <p class="x_xxmsonormal" style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;line-height:115%"> <b><span style="font-family:"Arial",sans-serif; color:#3B3838"> </span></b><span style="font-family:"Arial",sans-serif"></span></p> <p class="x_xxmsonormal" style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;line-height:115%"> <b><span style="font-family:"Arial",sans-serif; color:#1F4E79">Palestrante:</span></b><b><span style="font-family:"Arial",sans-serif"></span></b></p> <p class="x_MsoNormal" style="margin: 0cm 0cm 0.0001pt; font-size: 11pt; font-family: Calibri, sans-serif;margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;text-align:justify; line-height:115%"> <b><span style="font-size:10.5pt; line-height:115%; font-family:"Arial",sans-serif; color:#595959">Eduardo Horta</span></b><span style="font-size:10.5pt; line-height:115%; font-family:"Arial",sans-serif; color:#595959"> - is an Assistant Professor and Early Career Researcher in the Department of Statistics at the Federal University of Rio Grande do Sul, Brazil. He holds a PhD in Economics from the same University (2015), having spent a season as Visitor Graduate Student (Sandwich Doctorate) at Queen Mary University of London (2013). His research interests include functional time series, stochastic processes, financial econometrics, nonparametric methods and quantile regression.</span><span style="font-family:"Verdana",sans-serif; color:black"></span></p> <p class="x_xxxxxmsonormal" style="margin-right: 0cm; margin-left: 0cm; font-size: 12pt; font-family: "Times New Roman", serif;margin: 0cm 0cm 0.0001pt; font-size: 12pt; font-family: "Times New Roman", serif;"> <span style="font-family:"Arial",sans-serif"></span></p> </td> <td width="38" style="width:28.2pt; background:transparent; padding:0cm 0cm 0cm 0cm"> </td> </tr> </tbody> </table> </div> </td> <td width="0%" style="width:.06%; padding:0cm 0cm 0cm 0cm; height:27.0pt"></td> </tr> <tr> <td width="100%" colspan="3" style="width:100.0%; padding:0cm 0cm 0cm 0cm"> <div align="center"> <table class="x_MsoNormalTable" border="0" cellspacing="0" cellpadding="0" width="0" style="width:456.4pt; background:white"> <tbody> <tr style="height:53.95pt"> <td width="609" colspan="8" style="width:456.4pt; 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