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In the analysis of microarray data, and in some other contemporary statistical problems, it is not uncommon to apply hypothesis tests in a highly simultaneous way. The number, N say, of tests used can be much larger than the sample sizes, n, to which the tests are applied, yet we wish to...
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meaningful estimation theory. We demonstrate that the model explains well the common characteristics of log-returns. We propose a … new wavelet thresholding algorithm for volatility estimation in this model, in which Haar wavelets are combined with the … on the choice of estimation parameters. We show that our approach both gives a very good fit to selected currency …
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In this paper, we study the excursion time of a Brownian motion with drift outside a corridor by using a four states semi-Markov model. In mathematical finance, these results have an important application in the valuation of double barrier Parisian options. In this paper, we obtain an explicit...
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We study the perpetual American option characteristics in the case where the underlying dynamics involve a Brownian motion and a point process with a stochastic intensity. No assumption on the distribution of the jump size is made and we work with an arbitrary positive or negative jump. After...
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the framework of counting process theory. A profile likelihood principle is introduced for estimation of the parameters … estimation procedure for the nonparametric part is also given and its asymptotic properties are derived. We provide an …
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