Directional mixture models and optimal estimation of the mixing density

The authors develop consistent nonparametric estimation techniques for the directional mixing density. Classical spherical harmonics are used to adapt Euclidean techniques to this directional environment. Minimax rates of convergence are obtained for rotation ally invariant densities verifying various smoothness conditions. It is found that the differences in smoothness between the Laplace, the Gaussian and the von Mises‐Fisher distributions lead to contrasting inferential conclusions.     

Goodness-of-Fit Tests for Multiplicative Models with Dependent Data

Abstract.  Several classical time series models can be written as a regression model between the components of a strictly stationary bivariate process. Some of those models, such as the ARCH models, share the property of proportionality of the regression function and the scale function, which is an interesting feature in econometric and financial models. In this article, we present a procedure to test for this feature in a non-parametric context. The test is based on the difference between two non-parametric estimators of the distribution of the regression error. Asymptotic results are proved and some simulations are shown in the paper in order to illustrate the finite sample properties of the procedure.     

Elementary renewal theorems for widely dependent random variables with applications to precise large deviations

Abstract

On the basis of Wang and Cheng (J. Math. Anal. Appl. 384 (2011) 597–606), this paper further investigates elementary renewal theorems for counting processes generated by random walks with widely orthant dependent increments. The obtained results improve the corresponding ones of the above-mentioned paper mainly in the sense of weakening the moment conditions on the positive parts of the increments. Meanwhile, a revised version of strong law of large numbers for random walks with widely orthant dependent increments is established, which improves Theorem 1.4 of Wang and Cheng (2011 Wang, Y., and D. Cheng. 2011. Basic renewal theorems for a random walk with widely dependent increments and their applications. Journal of Mathematical Analysis and Applications 384 (2):597–606. doi:10.1016/j.jmaa.2011.06.010.[Crossref], [Web of Science ®] , [Google Scholar]) by enlarging the regions of dominating coefficients. Finally, by using the above results, some precise large deviation results for a nonstandard renewal risk model are established, in which the innovations are widely orthant dependent random variables with common heavy tails, and the inter-arrival times are also widely orthant dependent.     

Local asymptotic normality for long-memory process with strong mixing noises

Abstract

We will establish the local asymptotic normality (LAN) for fractional autoregressive long memory model in the case of strong mixing noises. This opens the way in future work to construct an adaptive estimator and construct optimal tests for the parameters. To check the feasibility and validity of our theoretical results a simulations study is considered.     

Vocational education,self‐employment and burnout among Australian workers

We examine the relationship between vocational education and occupational burnout among workers in different forms of employment. Although the self‐employed enjoy higher levels of job autonomy and work‐related satisfaction, we do not know whether they experience lower rates of occupational burnout, and whether vocational education plays a role in this relationship. This latter consideration is important, given that vocational qualifications often lead to self‐employment and prior research demonstrated that formal training may reduce burnout. However, formal education was previously measured in years of schooling, without considering the distinction between academically‐oriented and vocational courses. Therefore, using data from a 2001 national survey of working Australians, we first establish that the self‐employed are significantly less likely to experience burnout. We then demonstrate that some resilience to burnout can be attributed to the attainment of skilled vocational training, net of employment characteristics which are also very important.     

论藏族的丧葬风俗

为什么全民信仰藏传佛教的藏民族,其丧葬的主要类型不是佛教所推崇的火葬而是天葬?为什么最高级的葬法是塔葬而不是最流行的天葬?为什么土葬的兴衰史与苯教的兴衰史相一致?文章从藏族的地理环境、宗教文化与民族史方面进行了论述,提出了藏民族葬俗双因素决定理论:地理环境与宗教交互作用决定了藏民族葬俗,地理环境在很大程度上抵消了宗教的决定性影响,特别是苯教所推崇的土葬和佛教所推崇的火葬的影响;而宗教又削弱了地理环境对葬俗的限制和束缚。     

地理气候环境与鄂伦春族服饰

本文通过研究鄂伦春族与地理气候环境的关系 ,提出地理、气候、环境是影响鄂伦春族服饰文化形成的重要条件 ,在其影响下 ,鄂伦春族的服饰习俗逐渐形成 ,并在这一特定的环境中得到发展     

少数民族地区旅游开发条件比较研究--以甘肃省肃南县和贵州省黎平县为例

文章通过特尔菲法建立少数民族地区旅游开发条件评价的指标体系 ,利用该指标体系对甘肃省肃南县和贵州省黎平县进行单项评分和综合评价 ,并依据分析结果对两地旅游业的发展提出建议。     

Building home on a fault line: Aging out of child welfare with a serious mental health diagnosis

Youth aging out of foster care are at high risk for homelessness. This research explains how and why homelessness occurs among youth with serious mental health struggles after aging out of residential and transitional living programmes. Using a longitudinal constructivist grounded theory design, we analyse 20 in‐depth interviews exploring youth's transition experiences and perceptions of transition success within 4 months of emancipation and at 6 and 12 months postemancipation. Monthly 15‐min check‐ins prevented attrition. A three‐phase transition process was observed driven by participant desires and actions to cultivate psychological home through establishing physical home alone away from social networks. Pre‐emancipation, the promise of home was privacy and opportunity for self‐redefinition. Shortly after emancipation, home became a physical and social space to be, a valuable resource to share and a demonstration of personal transition success. However, later in the year postemancipation, maintaining physical home proves nearly impossible given the risk context. Findings speak to how and why youth aging out appear overly self‐reliant upon emancipation. Cultivating a psychological sense of home has practice implications for child welfare providers who aim to prepare youth to live independently postemancipation.     

A general central limit theorem and a subsampling variance estimator for α‐mixing point processes

We establish a central limit theorem for multivariate summary statistics of nonstationary α‐mixing spatial point processes and a subsampling estimator of the covariance matrix of such statistics. The central limit theorem is crucial for establishing asymptotic properties of estimators in statistics for spatial point processes. The covariance matrix subsampling estimator is flexible and model free. It is needed, for example, to construct confidence intervals and ellipsoids based on asymptotic normality of estimators. We also provide a simulation study investigating an application of our results to estimating functions.