[Abstract]
　We derive the finite sample bias and mean squared error of the fully aggregated estimator (FAE) for the stationary AR(1) model with intercept, which is proposed by Han, Phillips, and Sul (2011, Econometric Theory). Our analytical results show why the FAE is less biased than the ordinary least square estimator in finite sample case and is not biased by non-normality of error distribution and by intercept term at least O(1/T ), where T is sample size. We also propose a second order unbiased FAE using the analytical result. Finally, we examine the Monte Carlo simulation and show that it is consistent with the theoretical results.

[Abstract]
　This paper analyzes impacts of an outdated but sticky economic circumstance in the Japanese private nursing home market. Under this circumstance, homes cover all longevity risks of the residents. To measure its impacts, I compare consumers’ lifetime payments with and without this circumstance. This analysis provides implications for consumer welfare as a policy evaluation and longevity risk premium that homes assume. For the prediction analysis, I construct a structural econometric model that fits industrial organization of the nursing home market. Then, I propose a flexible prediction technique using a nonparametric Bayesian approach. My prediction analysis finds an excess payment under the circumstance that can be compensate only if a consumer live longer than thirty years in a nursing home. This results indicate rich policy implications for sustainable policy of elderly care in Japan.