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stat.ME2026
Tail representations for absolute, signed-power, inverse, and logarithmic moments
Roberto Vila, Eduardo Nakano, Cecilia Castro
Let be a real-valued random variable and let . When can take negative values, is not generally real-valued for non-integer ; formulas for moments of arbitrary…
stat.ME2025
Closed-form solutions for parameter estimation in exponential families based on maximum a posteriori equations
Roberto Vila, Helton Saulo, Eduardo Nakano
In this paper, we derive closed-form estimators for the parameters of certain exponential family distributions through the maximum a posteriori (MAP) equations. A Monte Carlo simul…