Parameter and quantile estimation for the three-parameter gamma distribution based on statistics invariant to unknown location

The three-parameter gamma distribution is widely used as a model for distributions of life spans, reaction times, and for other types of skewed data. In this paper, we propose an efficient method of estimation for the parameters and quantiles of the three-parameter gamma distribution, which avoids the problem of unbounded likelihood, based on statistics invariant to unknown location. Through a Monte Carlo simulation study, we then show that the proposed method performs well compared to other prominent methods in terms of bias and mean squared error. Finally, we present two illustrative examples.     

A consistent method of estimation for the three-parameter lognormal distribution based on Type-II right censored data

ABSTRACT

In this paper, we propose a parameter estimation method for the three-parameter lognormal distribution based on Type-II right censored data. In the proposed method, under mild conditions, the estimates always exist uniquely in the entire parameter space, and the estimators also have consistency over the entire parameter space. Through Monte Carlo simulations, we further show that the proposed method performs very well compared to a prominent method of estimation in terms of bias and root mean squared error (RMSE) in small-sample situations. Finally, two examples based on real data sets are presented for illustrating the proposed method.     

Time Difference Gentrification as a Bloodless Revolution: Class Structure and Spatial Polarization in the Tokyo Metropolitan Area after the 1980s

Economic disparity in Japan has been increasing since approximately 1980. This change has been particularly significant in one of its global cities, the Tokyo metropolitan area, resulting in a dramatic transformation of its socio‐spatial structure. Until the 1980s, economic disparity in Tokyo was not as large as that in the whole of Japan. Moreover, the concentration of high‐income households in the center of Tokyo was not significant. However, the old middle class, which consist of self‐employed individuals, and small capitalist class began to dissolve in the 1980s and 1990s, respectively, resulting in a decline in the population in the center of the city and its surrounding areas. In the 2000s the new middle class began to move into these areas. This was gentrification; however, because of the time difference between the dissolution of the old middle class and small capitalists and the influx of the new middle class, it was not violent but proceeded in a relatively peaceful manner. Until 1990, in areas 20‐40 km from the center of Tokyo, income levels and the proportion of the new middle class were high, however by 2010 the proportion of the working class had increased, and income levels had fallen significantly. Thus, in the Tokyo metropolitan area, the old middle class and the small capitalists in and around the center of Tokyo were replaced by the new middle class, and a hierarchical socio‐spatial structure culminationg in the center of Tokyo developed.     

Population aging, health care, and growth

This paper constructs a small open two-sector (health care and non-health care) overlapping generations model and investigates how changes in the demand for health care induced by population aging influence the economy’s employment structure and per capita income growth rate. We show that population aging induces a shift in labor from the non-health care sector to the health care sector and lowers the per capita income growth rate. This paper also investigates public policy for child care and demonstrates the existence of an intergenerational conflict between current and future generations concerning public policy on child care.     

Recent Trends of Emigration from China: 1982–2000

Using data from several Chinese censuses and surveys, we provide a new perspective for the study of international migration. Focusing on the trends of international migration from China and Fujian province between 1982 and 2000, several findings emerge. First, Fujian and Yunnan provinces became the leading immigrant‐sending provinces in China by 2000. Second, changes in socio‐economic selectivity among emigrants from Fujian province from 1990 to 1995 are also clearly revealed in our analysis. The shift from urbanites to rural peasants among the emigrant population is particularly noteworthy. Third, in the context of Fujian province, factors such as age, education, rural/urban status, and occupation (especially the service sector) are the most important predictors of emigration. The paper ends with a discussion of the prospects of assimilation of Fujianese immigrants in destination societies.     

DO NATURAL DISASTERS PROMOTE LONG‐RUN GROWTH?

In this article, we investigate the long-run relationships among disasters, capital accumulation, total factor productivity, and economic growth. The cross-country empirical analysis demonstrates that higher frequencies of climatic disasters are correlated with higher rates of human capital accumulation, increases in total factor productivity, and economic growth. Though disaster risk reduces the expected rate of return to physical capital, risk also serves to increase the relative return to human capital. Thus, physical capital investment may fall, but there is also a substitution toward human capital investment. Disasters also provide the impetus to update the capital stock and adopt new technologies, leading to improvements in total factor productivity.     

An Efficient Method of Parameter and Quantile Estimation for the Three-Parameter Weibull Distribution Based on Statistics Invariant to Unknown Location Parameter

The three-parameter Weibull distribution is widely used in life testing and reliability analysis. In this article, we propose an efficient method for the estimation of parameters and quantiles of the three-parameter Weibull distribution, which avoids the problem of unbounded likelihood, by using statistics invariant to unknown location. Through a Monte Carlo simulation study, we show that the proposed method performs well compared to other prominent methods based on bias and MSE. Finally, we present two illustrative examples.     

CORPORATE TAX POLICY AND INDUSTRY LOCATION WITH FULLY ENDOGENOUS PRODUCTIVITY GROWTH

This paper considers how national corporate tax policy affects productivity growth through adjustments in geographic patterns of industry in a two‐country model of trade. With trade costs and imperfect knowledge spillovers between countries, production concentrates partially and innovation concentrates fully in the country with the lowest tax rate. A rise in the international corporate tax differential accelerates productivity growth through an increase in the production share of the low‐tax country that improves knowledge spillovers from industry to innovation. The paper also investigates the relationship between the corporate tax differential and the level of market entry, and analytically characterizes the effects of changes in tax policy on national welfare. (JEL F43, O30, O40, R12)