4 papers
Unified formulas for conditional quantities and transportation functionals
Roberto Vila, Eduardo Nakano, Chang C. Y. Dorea
This paper develops a unified probabilistic framework based on distributional derivatives and Dirac delta representations for the analysis of conditional and transportation-related…
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…
On unbiased estimators for functions of the rate parameter of the exponential distribution
Roberto Vila, Eduardo Yoshio Nakano
In this paper, we explicitly derive unbiased estimators for various functions of the rate parameter of the exponential distribution in the absence of a location parameter, includin…
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…