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Traducción y notas de Andrés Rivadulla del Ars Conjectandi de Jakob Bernoulli![]()
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The Stehfest-Gaver method of inverting Laplace transforms is a very useful tool in approximating non-ruin probabilities. An accuracy of 6 to 10 significant digits is obtained in every case studied (Tables 1,2 and 3) except for Log-normal claim s[...]![]()
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Multivariate characteristic of risk processes are of high interest to academic actuaries. In such modele the probability of ruin ie obtained not only considering initial reserves u but the severity of ruin y and the surplus before ruin x. This r[...]![]()
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The non-ruin probability, for initial reserves u, in the classical can be calculated using the so-called Bromwich-Mellin inversion formula, an outstanding result from Residues Theory first introduced for these purposes by Seal(1977) for exponent[...]![]()
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En esta tesis se estudia la superposición y el emparejamientos de configuraciones o conjuntos de puntos en el espacio, considerando distintas transformaciones geométricas entre las mismas. El estudio de imágenes médicas o la comparación estructu[...]![]()
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Frey and Schmidt (1996) obtained a recursive method of approximating finite time multivariate ruin probability based on a Mc-Laurin expansion for the classical case and exponentially tailed distributions of the claim size. In this work a general[...]![]()
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Falin, Guennadi I. ; Rodrigo Fernández, Antonio ; Vázquez Furelos, Mercedes | Facultad de Ciencias Económicas y Empresariales. Decanato | 1994This article deals with a new model for the M/G/1 retrial queue. We consider the process (M(t),N(t)) where M(t) is the total number of arrivals from the last departure until time t and N(t) is the number of customers in orbit at time t. We obtai[...]![]()
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The so-called Renewal Theory is a frequently used methodology in applied mathematics. Renewal Theory is mainly focussed on solving a Volterra integral equation of the second kind known as Renewal Integral EquationAn interesting problem arises wh[...]![]()
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Vázquez, Mercedes | Facultad de Ciencias Económicas y Empresariales. Instituto Complutense de Análisis Económico (ICAE) | 1994In this article we analyze a model of a retrial queueing system where customers in the orbit join a queue with FCFS discipline. We adopt a nostationary regime. We derive some probabilities using fue theory of semiregenerative processes. We obtai[...]![]()
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Vázquez, Mercedes | Facultad de Ciencias Económicas y Empresariales. Instituto Complutense de Análisis Económico (ICAE) | 1994In this article we study a retrial queueing system in which customers in orbit join a queue with a FIFO discipline. We use the process (M(t),N(t) where M(t) represents the number of arrivals during a elapsed service time until t while N(t) stand[...]![]()
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Uno de los problemas más frecuentemente abordados por la literatura actuarial es el cálculo de la probabilidad de supervivencia para el horizonte infinito, modelizado mediante una siguiente ecuación de Volterra de segunda clase. Entre los modelo[...]![]()
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Mera Rivas, María Eugenia ; Morán Cabré, Manuel | Facultad de Ciencias Económicas y Empresariales. Decanato | 2000We prove that the upper porosity of any Radon probability measure is either 0 or 1/2![]()
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Para un problema de localización en una hipótesis nula puntual se relaciona el p-valor con la probabilidad final de la hipótesis nula, cuando la distribución inicial se escoge convenientemente. Se generalizan estos resultados al caso de distribu[...]