4 papers
Real-order moments, tail representations, and logarithmic means
Roberto Vila, Eduardo Nakano
This paper develops a unified framework for the study of real-order moments of arbitrary random variables. General integral representations are established in terms of cumulative d…
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…
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…