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This paper examines the notion of intermediate inequality and its measurement. Specifically, we investigate whether the intermediateness of an intermediate measure can be preserved through repeated (affine) inequality-neutral income transformation. For all existent intermediate measures of inequality, we show that the intermediateness cannot be preserved through the transformation; each intermediate measure tends to either a relative measure or an absolute measure. This observation is then generalized to the class of unit-consistent inequality measures. An inequality measure is unit-consistent if inequality rankings by the measure are not affected by the measuring units in which incomes are expressed. We show that the unit-consistent class of intermediate measure of inequality consists of generalizations of an existent intermediate measure and, hence, the intermediateness also cannot be retained in the limit through transformations.

In this chapter, we consider the nonparametric estimation of the average treatment effect (ATE) based on direct estimation of the conditional treatment effect. We establish the asymptotic distribution of the proposed ATE estimator. We also consider consistent testing for a parametric functional form for the conditional treatment effect function. A small-scale Monte Carlo simulation study is reported to examine the finite sample performance of the proposed estimator.

Xi Jinping’s speech on the theme of “Continuously Exploring the New Zeitgeist of Marxist Political Economy in China,” dated back to November 2015, has illuminated the historical background, social roots, practical basis, basic characteristics, Zeitgeist, ideological realm and other issues relative to the development of “Systematic Economic Theory” with Chinese characteristics (hereinafter referred to as SETCC). The paper aims to discuss these issues.

Exploring the SETCC marks a fundamental postulation for the development of contemporary Chinese Marxist political economy, and an important indicator of the Chinese wisdom thereof.

Unswervingly adhering to the new development concept as the leading factor, General Secretary Xi Jinping’s elucidation of the theoretical propositions and practical topics of building a modern economic system has, starting from the five aspects of development mainline, strategic support, fundamental approach, necessary road and institutional guarantee, and their interrelationships, unfolded new connotations and opened up a new realm of Xi’s New Economic Zeitgeist with new explorations on the structure and system of SETCC.

This paper first explains the development of Xi Jinping’s economic thoughts and reveals its systematization characteristics.

We develop new high‐order positive, monotone and convex interpolations, which are to be used in the multigrid context. This means that the value of the interpolant is calculated only at the midpoints lying between the locations of the given values. As a consequence, these interpolants can be calculated very efficiently. They are then tested in a time‐dependent very large scale integration process simulation application.

There is a growing literature in nonparametric econometrics in the recent two decades. Given the space limitation, it is impossible to survey all the important recent developments in nonparametric econometrics. Therefore, we choose to limit our focus on the following areas. In Section 2, we review the recent developments of nonparametric estimation and testing of regression functions with mixed discrete and continuous covariates. We discuss nonparametric estimation and testing of econometric models for nonstationary data in Section 3. Section 4 is devoted to surveying the literature of nonparametric instrumental variable (IV) models. We review nonparametric estimation of quantile regression models in Section 5. In Sections 2–5, we also point out some open research problems, which might be useful for graduate students to review the important research papers in this field and to search for their own research interests, particularly dissertation topics for doctoral students. Finally, in Section 6 we highlight some important research areas that are not covered in this paper due to space limitation. We plan to write a separate survey paper to discuss some of the omitted topics.

The socialist political economy with Chinese characteristics is the scientific fruit of Xi Jinping thought on socialist economy with Chinese characteristics for a new era. People-centred philosophy is the core values of the Communist Party of China (CPC) Central Committee's governance of China with Xi Jinping as the core and has become the core values of the socialist political economy with Chinese characteristics. According to Xi Jinping thought on socialist economy with Chinese characteristics, it represents the interests of all people and determines the disciplinary attribute of the socialist political economy with Chinese characteristics, that is, people-centred economics. Xi Jinping has defined the essence of the socialism as eliminating poverty, improving people's livelihood and gradually realising common prosperity. That determines the main line of socialist political economy with Chinese characteristics is to liberate, develop and protect the productive forces and achieve common prosperity. This study aims to discuss the aforementioned statements.

Xi Jinping's scientific judgement on the new stage of development and the principal contradiction facing Chinese society has put forward the requirement of problem orientation for the study of socialist political economy with Chinese characteristics, involving the main contradiction facing Chinese society, high-quality development and modernisation. China's socialist basic economic system consists of a socialist market economy in which public ownership plays the leading role alongside other forms of ownership and distribution according to work is the mainstay, while other forms of distribution coexist alongside it. And this socialist basic economic system, marked out from three dimensions—production, distribution and exchange analysis, is the key of analysis of systems in the socialist political economy with Chinese characteristics. The economic operation analysis in political economy mainly involves resource allocation and the government's macroeconomic regulation and control.

The new thought and new practices about the role of the market and the government in the new era have opened up a new realm for the economic operation analysis in the socialist political economy with Chinese characteristics. The new development philosophy and new development paradigm define the content of the economic development theory in the socialist political economy with Chinese characteristics. The new development paradigm reflects the dual circulation theory of social reproduction.

The socialist political economy with Chinese characteristics is to study laws of economics in various aspects from economic system, economic operation, economic development to foreign economy and provide the basic principles of socialist political economy with Chinese characteristics. Its mainstream economic position will be consolidated continuously.

To meet the high stiffness requirement of bearings used in high-precision spindles, this paper aims to propose a novel kind of bearing composited by hydrostatic cavities and tilting pads with preload.

Cavities are cut on the oil seal surface of a hybrid bearing, in which the tilting pads are set up. The load of the bearing is carried by the hydrostatic cavities and tilting pads. The structural features of this compound bearing and the controlling variables of the main stiffness coefficient are presented. Two basic design principles are proposed on the basis of equal machining clearance (EMC) and equal installation clearance (EIC).

The theoretical analysis indicates that the stiffness of compound bearings under the EMC condition increases to infinity monotonously when the preload coefficient of the tilting pad tends to 1, while the stiffness under the EIC condition has a peak value. Therefore, a synthetic design principle is proposed by synthetically using the above-mentioned two principles. The applicable range of the three principles is discussed through an example.

The study about technological combination of hydrostatic cavity and tilting pad in this paper can provide suggestions for the design of a high-stiffness bearing in a precision spindle.