On umvu estimators for the multivariate lognormal distribution and their variances

Uniformly minimum variance unbiased estimators of several parameters of the multivariate lognormal distribution are expressed by using the hypergeometric functions of matrix argument. And the variances are given in special cases.     

A population size estimate of the finless porpoise,Neophocaena phocaenoides, from aerial sighting surveys in Ariake Sound and Tachibana Bay, Japan

We estimated the population size of the finless porpoise (Neophocaena phocaenoides) in Ariake Sound and Tachibana Bay of western Kyushu, southwestern Japan, from aerial sighting surveys using line transect methods. All 12 surveys were conducted from May 1993 to May 1994 (8 in Ariake Sound and 4 in Tachibana Bay). In addition to these, 14 surveys were also carried out to obtain information on porpoise occurrence in Tachibana Bay (5 surveys) and in neighboring Sumo Nada (5) and Yatsushiro Sound (4). In Ariake Sound, 225 porpoise groups (369 animals) were detected during all flights totalling 1,694.4 km. In Tachibana Bay, a total of 997.8 km was surveyed and 55 groups (290 animals) were sighted. However, no sightings were recorded in Sumo Nada (distance searched = 148.7 km) and Yatsushiro Sound (208.4 km). In Ariake Sound, few sightings were recorded from waters shallower than 5 m in depth. In Tachibana Bay all animals were detected from waters of less than 50 m depth. The population size was estimated as 1,983 animals in Ariake Sound (95% CI = 1,382-2,847), 1,110 in Tachibana Bay (95% CI = 642-1,920), and 3,093 in the 2 waters (1.3 individuals/km², 95% CI = 2,278-4,201).     

Comparing Public Attitudes towards Aid to Developing Countries between ‘Traditional’ and ‘Emerging’ Donors: The Case of Japan and Korea

This article explores public attitudes towards aid to developing countries in ‘traditional’ donors and ‘emerging’ donors, taking Japan as an example of the former and Korea as one of the latter. Analyses of comparative social survey data show differences and similarities between the attitudes harboured by the respondents in the two countries. Although previous cross‐national studies included only traditional donors in their analyses, the results of this study reveal the need to focus on the attitude towards aid in emerging donors, especially given their increasing presence in the international aid community.     

Maximum likeihood estimation of an intraclass correlation in a bivariate normal distribution with missing observations

The maximum likeihood estimate is considered for an intraclass correlation coefficent in a bivariate normal distribution when some observations on either of the varibles are missuing. The estimate is given as the soulution of a polynomial equation of degree seven. An approximate confidence interval and a test procedure for the intraclass correlation are constricted based on an asymptotic variance stabilizing transformation of the resulting estimator. The distributional results are also considered under violation of the normality assumption. A Monte Carlo study was performed to examine the finite sample properties of the maximum likelihood estimator and to evaluate the proposed procedures for hypotheses testing and interval estimation.     

The Association Between Perceived Income Inequality and Subjective Well-being: Evidence from a Social Survey in Japan

Previous studies have shown that income inequality in society is negatively associated with individuals subjective well-being (SWB), such as their perceived happiness and self-rated health (SRH). However, it is not realistic to assume that individuals have precise information about actual income distribution measured by the Gini coefficient or other statistical measures. In the current study, we examined how perceived income inequality, rather than actual inequality, was associated with SWB, using cross-sectional data collected from a nationwide, Internet survey conducted in Japan (N = 10,432). We also examined how this association was confounded by individuals’ objective and subjective income status, considering the possibility that individuals with lower income status are more inclined to both perceive income inequality and feel unhappy/unhealthy. In our analysis, we focused on the perception of widening income inequality (as perceived income inequality), perceived happiness and SRH (as SWB), and household income and living standards compared with 1 year ago and compared with others (as income status). We also controlled for personality traits. We obtained three key findings: (1) perceived income inequality was negatively associated with SWB; (2) both perceived income inequality and SWB were associated with income status; and (3) the association between perceived income inequality and SWB was attenuated after controlling for income status, but not fully for perceived happiness. These findings suggest that perceived income inequality, which links actual income inequality to SWB, should be further studied.     

On an extension of the von Mises distribution due to Batschelet

This paper considers the three-parameter family of symmetric unimodal circular distributions proposed by Batschelet in [1 Batschelet, E. 1981. Circular Statistics in Biology, London: Academic Press.  [Google Scholar]], an extension of the von Mises distribution containing distributional forms ranging from the highly leptokurtic to the very platykurtic. The family's fundamental properties are given, and likelihood-based techniques described which can be used to perform estimation and hypothesis testing. Analyses are presented of two data sets which illustrate how the family and three of its most direct competitors can be applied in the search for parsimonious models for circular data.     

Dependent models for observations which include angular ones

This paper discusses some stochastic models for dependence of observations which include angular ones. First, we provide a theorem which constructs four-dimensional distributions with specified bivariate marginals on certain manifolds such as two tori, cylinders or discs. Some properties of the submodel of the proposed models are investigated. The theorem is also applicable to the construction of a related Markov process, models for incomplete observations, and distributions with specified marginals on the disc. Second, two maximum entropy distributions on the cylinder are discussed. The circular marginal of each model is distributed as the generalized von Mises distribution which represents a symmetric or asymmetric, unimodal or bimodal shape. The proposed cylindrical model is applied to two data sets.     

Variances of UMVU Estimators for Means and Variances After Using a Normalizing Transformation

Suppose that the function f is of recursive type and the random variable X is normally distributed with mean μ and variance α². We set C = f(x). Neyman & Scott (1960) and Hoyle (1968) gave the UMVU estimators for the mean E(C) and for the variance Var(C) from independent and identically distributed random variables X₁,…, X_n(n ≧ 2) having a normal distribution with mean μ and variance σ², respectively. Shimizu & Iwase (1981) gave the variance of the UMVU estimator for E(C). In this paper, the variance of the UMVU estimator for Var(C) is given.