In the presence of nuisance parameters, the asymptotic loss of the maximum likelihood estimator of an interest parameter was discussed by Akahira and Takeuchi (1982) and Akahira (1986) under suitable regularity conditions from the viewpoint of higher order asymptotics. On the other hand, in statistical estimation in multiparameter cases, the conditional likelihood method is well known as a way ...

Title: Maternal socio-demographic and psychological predictors for risk of developmental delays among young children in Mongolia Authors: Amarjargal Dagvadorj ([email protected]) Duurenbayar Ganbaatar ([email protected]) Olukunmi Balogun ([email protected]) Naohiro Yonemoto ([email protected]) Bayasgalantai Bavuusuren ([email protected]) Kenji Takehara (takehara-k@ncch...

The crystallization kinetics of an Al89La6Ni5 amorphous alloy were studied by thermal analysis. Both continuous heating and isothermal DSC traces showed that the Al89La6Ni5 amorphous alloy undergoes a two-stage crystallization process upon heating. The ®rst transformation, in which fcc-Al precipitates from the amorphous matrix, is a nucleation and three-dimensional di€usion-controlled growth pr...

Takeuchi [37], Takeuchi and Akahira [38] and Pfanzagl [27] among others proved that any rst-order ecient estimators are second-order ecient. Many authors e.g., Ghosh [15], have conjectured that any third-order ecient estimators are fourth-order ecient. Based on concentration probability of estimators about a true parameter, this paper gives a positive answer to the conjecture in a curved expone...

In a regular distribution family, Cramér-Rao inequality holds, and the maximum likelihood estimator (MLE) converges to a normal distribution whose variance is the inverse of the Fisher information because the Fisher information converges and is well-defined in this family. However, in a non-regular location shift family which is generated by a distribution of R whose support is not R (e.g., a W...

The activation energy of nitrogen diffusion in R2Fe,, (R=rare earth) compounds has been determined by applying the Kissinger method to analyse the differential scanning calorimetry (DSC) traces of nitrogenated R2Fe1, compounds. The nitrogen outgas that starts when the nitrides are heated above about 300 “C is a typical decomposition reaction of the type solid + solid + gas to which the Kissinge...

In the presence of nuisance parameters, the asymptotic loss of the maximum likelihood estimator of an interest parameter was discussed by Akahira and Takeuchi (1982) and Akahira (1986) under suitable regularity conditions from the viewpoint of higher order asymptotics. On the other hand, in statistical estimation in multiparameter cases, the conditional likelihood method is well known as a way ...