Kunio Takezawa

A Simulation Study for the AIC and Likelihood Cross-validation: The Case of Exponential Versus Weibull Distributions

Kunio Takezawa · Journal of Advances in Mathematics and Computer Science · 2018

Various methods are available for choosing statistical models. It is difficult to know which model selection criterion is the best for specific data. This paper discusses a method for choosing the model selection criterion based on the characteristics of the data and models. As a...

Open access Research Article 10.9734/JAMCS/2018/43344

Predictive Estimator for Simple Regression

Kunio Takezawa · Journal of Advances in Mathematics and Computer Science · 2017

The predictive estimator of the gradient in simple regression is assumed to be the product of the gradient given by least-squares fitting and a constant (ρ). The results of numerical simulations show that when generalized cross-validation is used to obtain the optimal ρ, the resu...

Open access Research Article 10.9734/JAMCS/2017/35869

Numerical Method for Obtaining a Predictive Estimator for the Geometric Distribution

Kunio Takezawa · Journal of Advances in Mathematics and Computer Science · 2016

An optimal estimator in the light of future data (i.e., a predictive estimator) is obtained using numerical simulations. The predictive estimator is assumed to be one of various functions of the maximum likelihood estimator. We then formulate an estimator that yields better resul...

Open access Research Article 10.9734/BJMCS/2016/29941