Displaying similar documents to “An extended problem to Bertrand's paradox”

Large losses-probability minimizing approach

Michał Baran (2004)

Applicationes Mathematicae

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The probability minimizing problem for large losses of portfolio in discrete and continuous time models is studied. This gives a generalization of quantile hedging presented in [3].

Approximations of the ultimate ruin probability in the classical risk model using the Banach's fixed-point theorem and the continuity of the ruin probability

Jaime Martínez Sánchez, Fernando Baltazar-Larios (2022)

Kybernetika

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In this paper, we show two applications of the Banach's Fixed-Point Theorem: first, to approximate the ultimate ruin probability in the classical risk model or Cramér-Lundberg model when claim sizes have some arbitrary continuous distribution and second, we propose an algorithm based in this theorem and some conditions to guarantee the continuity of the ruin probability with respect to the weak metric (Kantorovich). In risk theory literature, there is no methodology based in the Banach's...

Random split of the interval [0,1]

B. Kopociński (2004)

Applicationes Mathematicae

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We define two splitting procedures of the interval [0,1], one using uniformly distributed points on the chosen piece and the other splitting a piece in half. We also define two procedures for choosing the piece to be split; one chooses a piece with a probability proportional to its length and the other chooses each piece with equal probability. We analyse the probability distribution of the lengths of the pieces arising from these procedures.

Robust inference in probability under vague information.

Giuliana Regoli (1996)

Mathware and Soft Computing

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Vague information can be represented as comparison of previsions or comparison of probabilities, and a robust analysis can be done, in order to make inference about some quantity of interest and to measure the imprecision of the answers. In particular, in some decision problems the answer can be unique.

Survival probability approach to the relaxation of a macroscopic system in the defect-diffusion framework

Paulina Hetman (2004)

Applicationes Mathematicae

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The main objective of this paper is to present a new probabilistic model underlying the universal relaxation laws observed in many fields of science where we associate the survival probability of the system's state with the defect-diffusion framework. Our approach is based on the notion of the continuous-time random walk. To derive the properties of the survival probability of a system we explore the limit theorems concerning either the summation or the extremes: maxima and minima. The...