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L -Khintchine-Bonami inequality in free probability

Artur Buchholz (1998)

Banach Center Publications

We prove the norm estimates for operator-valued functions on free groups supported on the words with fixed length ( f = | w | = l a w λ ( w ) ). Next, we replace the translations by the free generators with a free family of operators and prove inequalities of the same type.

La distribución hipergeométrica como binomial de Poisson.

Jorge Ollero Hinojosa, Héctor Manuel Ramos Romero (1991)

Trabajos de Estadística

En este trabajo demostramos que toda distribución hipergeométrica H(N, X, n) puede ser descrita como suma de pruebas independientes con probabilidades de éxito distintas entre sí. Tal distribución recibe habitualmente el nombre de binomial de Poisson o binomial generalizada.

Lévy copulae for financial returns

Ostap Okhrin (2016)

Dependence Modeling

The paper uses Lévy processes and bivariate Lévy copulae in order to model the behavior of intraday log-returns. Based on assumptions about the form of marginal tail integrals and a Clayton Lévy copula, the model allows for capturing intraday cross-dependency. The model is applied to VaR of the portfolios constructed on stock returns as well as on cryptocurrencies. The proposed method shows fair performance compared to classical time series models.

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