3 papers
math.ST2026
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…
math.ST2025
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…
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…