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<div><span style="color: rgb(38, 40, 42); font-size: 13px;">Bom dia,</span><br></div><div id="ydp5295e047yahoo_quoted_4888038058" class="ydp5295e047yahoo_quoted"><div style="font-family:'Helvetica Neue', Helvetica, Arial, sans-serif;font-size:13px;color:#26282a;"><div><div id="ydp5295e047yiv1689970550"><div dir="ltr"><div><br></div><div>
<span style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:12.8px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;float:none;display:inline;">Prezados,</span><br style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:12.8px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;"><br style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:12.8px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;"><span style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:12.8px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;float:none;display:inline;">No dia 04 de maio teremos mais uma edição dos<span> </span></span><span class="ydp5295e047yiv1689970550gmail-il" style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:12.8px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;">Papos</span><span style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:12.8px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;float:none;display:inline;"><span> </span></span><span class="ydp5295e047yiv1689970550gmail-il" style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:12.8px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;">Aleatórios</span><span style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:12.8px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;float:none;display:inline;"><span> </span>com a presença do Prof. Eduardo Ferioli.
<span style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:small;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;float:none;display:inline;">O resumo e as informações pertinentes a esse papo encontram-se no cartaz em anexo.</span> Convidamos todos os interessados para essa palestra.</span></div><div><br></div><div>Data: 04/maio/2018 (sexta-feira)</div><div>Horário: 14:30</div><div>Local: UFF - Niterói - Campus do Gragoatá - Bloco H - sala 205</div><div><br></div><div>Palestrante: Eduardo Ferioli (
<span style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:12.8px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;float:none;display:inline;">Dep. Estatística - IME-UFF</span>
)</div><div>Título:
<span style="color:rgb(34,34,34);font-family:arial, sans-serif;font-size:12.8px;font-style:normal;font-weight:400;letter-spacing:normal;text-indent:0px;text-transform:none;white-space:normal;word-spacing:0px;background-color:rgb(255,255,255);text-decoration-color:initial;float:none;display:inline;">The Renewal Spitzer Process</span>
</div><div><br></div><div>Resumo: Renewal processes are traditional on the theory of stochastic process and are used for modelling lifetimes of components. Multidimensional renewal process are those with interaction, so that failure rates depends on the ages of di erent components. In 1986 Frank Spitzer, [4], proposes a multidimensional version of the Renewal Theorem on (RZ</div><div>+) where the renewal rate of each compontent is the gradient of a potential function of ages. Andjel and Vares in [1] have shown the conditions to ergodicity and uniqueness of invariant measure for that process when the rate of failure is the average age of neighbours plus a stabilization constant, c. Sidoravicus and Vares in [3] have extended the results for (RZ d+ ). Both [1] and [3] have prooved that if c = 0 the process does not converge to an invariant measure. [2] have studied the behaviour of o the process for small</div><div>values of c. Our aim in this project is to invastigate environments in which the c > 0 hypothesis can be exibilized.</div><div><br></div><div>References</div><div>[1] E.D. Andjel and M.E. Vares. Ergodicity of an in nite renewal process. Stochastic Process. Appl., 1992.</div><div>[2] Eduardo F Gomes. Processo de renovação de spitzer. Master's thesis, Graduate Program in Statistics - IM/UFRJ, 2014.</div><div>[3] V. Sidoravicius and M.E. Vares. Ergodicity of spitzer's renewal model. Stochastic Process. Appl., 1995.</div><div>[4] F. Spitzer. A multidimensional renewal theory. Probability, Stathistical Mechanics and Number Theory Advances in Mathematics Supplemental Studies, 1986.</div><div><br></div><div>Maiores detalhes dos Papos Aleatórios podem ser vistos em <a href="https://sites.google.com/view/paposaleatorios" rel="nofollow" target="_blank">https://sites.google.com/view/paposaleatorios.<br></a></div><div><br></div><div><div><div class="ydp5295e047yiv1689970550gmail_signature"><div dir="ltr"><div><div dir="ltr"><div style="font-size:12.8px;">Att,</div><div style="font-size:12.8px;"> </div><div style="font-size:12.8px;">Patrícia Lusié</div><div style="font-size:12.8px;">Professora Adjunta</div><div style="font-size:12.8px;">Departamento de Estatística</div><div style="font-size:12.8px;">Instituto de Matemática e Estatística - UFF</div><div><br></div></div></div></div></div></div>
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