Two new estimators for the proportion of true null hypotheses in multiple test

In multiple hypothesis test, an important problem is estimating the proportion of true null hypotheses. Existing methods are mainly based on the p-values of the single tests. In this paper, we propose two new estimations for this proportion. One is a natural extension of the commonly used methods based on p-values and the other is based on a mixed distribution. Simulations show that the first method is comparable with existing methods and performs better under some cases. And the method based on a mixed distribution can get accurate estimators even if the variance of data is large or the difference between the null hypothesis and alternative hypothesis is very small.     

All Data are Wrong,but Some are Useful? Advocating the Need for Data Auditing

In a recent article from the Annals of Applied Statistics, Cox discussed the main phases of applied statistical research ranging from clarifying study objectives to final data analysis and interpreting results. As an incidental remark to these main phases, we advocate that beyond cleaning and preprocessing the data, it is a good practice to audit the data to determine if they can be trusted at all. A case study based on Ghanaian Official Fishery Statistics is used to illustrate this need, with Benford's law being the tool used to carrying out the data audit. Supplementary materials for this article are available online.     

Continuity of f-projections and applications to the iterative proportional fitting procedure*

This paper proves continuity of f-projections and the continuous dependence of the limit matrix of the iterative proportional fitting procedure (IPF procedure) on the given matrix as well as the given marginals under certain regularity constraints. For finite spaces, the concept of f-projections of finite measures on a compact and convex set is introduced and continuity of f-projections is proven. This result is applied to the IPF procedure. Given a nonnegative matrix as well as row and column marginals the IPF procedure generates a sequence of matrices, called the IPF sequence, by alternately fitting rows and columns to match their respective marginals. The procedure is equivalent to cyclic f-projections. If the IPF sequence converges, the application of the continuity of f-projections yields the continuous dependence of the limit matrix on the given matrix. By generalized convex programming and under some constraints, it is shown that the limit matrix of the IPF sequence continuously depends not only on the given matrix but also on the marginals.     

A note on mixingale limit theorems and stable convergence in law

A gap in the proof of a non stationary mixingale invariance principle is identified and fixed by introducing a skipped subsampling of a partial sum process and letting the skipped interval vanish asymptotically at an appropriate rate as the sample size increases. The corrected proof produces a mixingale limit theorem in the form of a mixing convergence in law, occurring jointly with the stable convergence in law for the same σ-field relative to which they are stable and mixing. The applicability of established results to a high-frequency estimation of the quadratic variation of financial price process is discussed.     

西方“超老化观感”研究述评

“：超老化观感”在本质上反映了一个元观念的转变①,即从一个物质的和理性的世界观转向一个更超越自然的世界观,并且通常伴随着生活满意度的增加;这一转变经历了在自然、自我、社会与个人的关系这三个方面的变化;其关键特征有追求沉思与积极独处、高度自我控制的活动与高生活满意度和获得成熟与智慧;其发展受年龄、性别、种族、生活环境或文化背景等多重因素的影响“。超老化观感”理论在护理、心理咨询、教育等多个领域有独特的实践应用价值,因而,加强该理论的本土化研究将对我国老年学学科建设及老龄事业的发展有重大的指导意义。     

我国生育意愿及其影响因素研究综述：1980～2015

2016年1月1日起实施的全面二孩政策能否有效地鼓励民众的生育行为,这关乎到我国未来几十年合理调整人口结构、稳固新常态发展的成功与否。本文通过对我国1980-2015年有关生育意愿的国内外文献总结回顾,将生育意愿的内涵界定为数量、时间、性别、动机四个维度,并在此基础上结合国内外学者们的研究归纳得出影响生育意愿的五个方面因素：政策、经济、观念、教育、年龄,以期在新政策背景下展望未来,借鉴国外发展的经验,做好养老、医疗、就业、教育方面的准备措施来迎接全面二孩时代,并为有关生育意愿的进一步研究提供参考。     

SROI in the pay for success context: Are they at odds?

The Pay For Success (PFS) and Social Impact Bond (SIB) movements to date have focused heavily on shorter-term outcomes that can be monetized and show clear savings to government entities. In part, this focus derives from the need to specify contract payments based on a narrow set of well measured outcomes (e.g., avoided days in jail and foster care, decreased use of behavioral health services). Meanwhile efforts to measure the social return on investment (SROI) of interventions have sought to expand the view of relevant outcomes to include domains that lend themselves less clearly to monetization. This paper explores the intersection between these two movements with illustrations from a SIB initiative underway focused on homeless families with children in foster care. Challenges and potential for SROI in a third-party payor environment will be discussed as well as opportunities to better leverage the strengths of both types of initiative.