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We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a Two-State ...

Excursion set theory is a powerful and widely used tool for describing the distribution of dark matter haloes, but it is normally applied with simplifying approximations. We use numerical sampling ...

Copulas are statistical tools used to model and analyze the dependency structure between random variables, especially when their relationship is complex or non-linear. They help separate the marginal ...

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