<html><body><div style="font-family: times new roman, new york, times, serif; font-size: 12pt; color: #000000"><div><br></div><div><br></div><div> <div><span style="font-size: medium;">Sayın liste üyeleri,</span></div><div style="color: #000; font-weight: normal; font-style: normal; text-decoration: none; font-family: Helvetica,Arial,sans-serif; font-size: 12pt;"><div style="font-family: times new roman, new york, times, serif; font-size: 12pt; color: #000000;"><div style="font-size: 12pt; text-decoration: none; font-family: Helvetica,Arial,sans-serif; font-weight: normal; color: #000; font-style: normal;"><div style="font-size: 12pt; font-family: times new roman, new york, times, serif; color: #000000;"><div style="font-size: 12pt; text-decoration: none; font-family: Helvetica,Arial,sans-serif; font-weight: normal; color: #000; font-style: normal;"><div style="font-size: 12pt; font-family: times new roman, new york, times, serif; color: #000000;"><div style="font-size: 12pt; text-decoration: none; font-family: Helvetica,Arial,sans-serif; font-weight: normal; color: #000; font-style: normal;"><div style="font-size: 12pt; font-family: times new roman, new york, times, serif; color: #000000;"><div><p style="margin: 0px;"><span style="font-size: medium;"></span> </p><p style="margin: 0px;"><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">İzmir Ekonomi Üniversitesi Fen Edebiyat Fakültesi Matematik Bölümü tarafından düzenlenen Matematik – İstatistik Seminerleri </span></p><p style="margin: 0px;"><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">kapsamında 18 Mart 2016 Cuma günü Dr. C. Murat Özkut tarafından saat 14.00'da M403 no.lu derslikte verilecek seminerin detayları aşağıda belirtilmiştir.</span></p><p style="margin: 0px;"><br></p><p style="margin: 0px;">Tüm ilgilenenler davetlidir.</p><p style="margin: 0px;"><br></p><p style="margin: 0px;"><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">Saygılarımla,</span></p><p style="margin: 0px;"> </p><p style="margin: 0px;">Sevin Gümgüm, PhD</p><p style="margin: 0px;"><br></p><p style="margin: 0px;">İzmir Ekonomi Üniversitesi<br>Matematik Bölümü</p><p style="margin: 0px;"> </p><p style="margin: 0px;">------------------------------------------------------------------------------------------------------------------</p><p style="margin: 0px;"><br></p><p style="margin: 0px;">Dear all, İzmir University of Economics, Department of Mathematics continues its Mathematics-Statistics seminars on <span class="Object" id="OBJ_PREFIX_DWT116_com_zimbra_date">March 18</span>, 2016, at 14.00 at M403, with Dr. C. Murat Özkut.</p><p style="margin: 0px;"><br></p><p style="margin: 0px;">His talk is entitled as "Marshall-Olkin Type Shock Models and Their Applications".</p><p style="margin: 0px;"><br></p><p style="margin: 0px;">All are most welcome to attend.</p><p style="margin: 0px;"><br></p><p style="margin: 0px;">Please find the more detailed announcement below.</p><p style="margin: 0px;"> </p><p style="margin: 0px;">Sincerely</p><p style="margin: 0px;"><br></p><p style="margin: 0px;">Sevin Gümgüm, PhD</p><p style="margin: 0px;"> </p><p style="margin: 0px;">İzmir University of Economics</p><p style="margin: 0px;">Department of Mathematics</p><p style="margin: 0px;"><br></p><p style="margin: 0px;"><br></p><p style="margin: 0px;"><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"></span> </p><p style="margin: 0px;"><br></p><p style="margin: 0px;"><strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">Seminar Details:</span></strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"></span></p><p style="margin: 0px;"><br></p><ul><li style="line-height: normal;"><strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">Speaker:</span></strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"> Dr. C. Murat Özkut<br></span></li><li style="line-height: normal;"><strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">Title:</span></strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"> Marshall-Olkin Type Shock Models and Their Applications</span></span><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"><br></span></li><li style="line-height: normal;"><strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">Date: </span></strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"><span class="Object" id="OBJ_PREFIX_DWT297_com_zimbra_date"><span class="Object" id="OBJ_PREFIX_DWT299_com_zimbra_date"><span class="Object" id="OBJ_PREFIX_DWT117_com_zimbra_date">March 18</span></span></span></span><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">, 2016</span><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"> </span></li><li style="line-height: normal;"><strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">Place: </span></strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">M403</span><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"> </span></li><li style="line-height: normal;"><strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">Time: </span></strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">14:00-14:50 </span></li><li style="line-height: normal;"><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"><em><strong><span style="font-size: 12pt; font-family: 'Times New Roman','serif';">Abstract:</span></strong></em></span></span></span></span><div dir="ltr" id="yui_3_16_0_1_1457074703241_2974"><span id="yui_3_16_0_1_1457074703241_2976" lang="EN-US">In traditional Marshall-Olkin type shock models and their modifications, there are three type of shocks that arrive at random times. These shocks destroy the components of a system which has two or more components. In this study, we assume that if the magnitude of the shock exceeds some predefined threshold, then the corresponding component is destroyed; otherwise it continues to survive. It is obvious that, this approach is different from classical Marshall-Olkin type shock models. More precisely, we assume that the shock time and the magnitude of the shock are dependent random variables with given bivariate distribution. For different examples of underlying bivariate distributions of lifetimes and shock magnitudes, the joint distributions of lifetimes of the components were investigated. The multivariate extension of the proposed model is also discussed. </span></div><div id="yui_3_16_0_1_1457074703241_2819"> </div><p style="margin: 0px;" align="left"><br></p><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"><span style="font-size: 12pt; font-family: 'Times New Roman','serif';"><em><span style="font-size: small; font-family: NimbusRomNo9L-Regu;"><span style="font-size: small; font-family: NimbusRomNo9L-Regu;"></span></span></em></span></span></li></ul></div></div></div><div><br></div></div></div><div><br></div></div></div></div></div><div><br></div><br></div></div></body></html>