国家中心城市文化软实力评价研究——以港京沪津穗城市为例

城市文化软实力是城市综合竞争力巨系统下的子系统,由文化核心价值水平、城市制度健全程度、城市政府管理效率及创新、城市国际化水平、城市文化中心影响力等指标组成。本文对港京沪津穗五大国家中心城市的文化软实力进行了分析,并就城市如何提升文化软实力提出了建议。     

Extended scaled prediction variance optimality for modified central composite design

Robust parameter designs (RPDs) enable the experimenter to discover how to modify the design of the product to minimize the effect due to variation from noise sources. The aim of this article is to show how this amount of work can be reduced under modified central composite design (MCCD). We propose a measure of extended scaled prediction variance (ESPV) for evaluation of RPDs on MCCD. Using these measures, we show that we can check the error or bias associated with estimating the model parameters and suggest the values of α recommended for MCCS under minimum ESPV.     

The Frisch–Waugh–Lovell theorem for the lasso and the ridge regression

The Frisch–Waugh–Lovell (FWL) (partitioned regression) theorem is essential in regression analysis. This is partly because it is quite useful to derive theoretical results. The lasso regression and the ridge regression, both of which are penalized least-squares regressions, have become popular statistical techniques. This article describes that the FWL theorem remains valid for these penalized least-squares regressions. More precisely, we demonstrate that the covariates corresponding to unpenalized regression parameters in these penalized least-squares regression can be projected out. Some other results related to the FWL theorem in such penalized least-squares regressions are also presented.     

Asymptotic behaviour of proportions of observations in random regions determined by central order statistics from stationary processes

In this paper, we show that proportions of observations that fall into a random region determined by a given Borel set and a central order statistic converge almost surely, provided that the corresponding population quantile is unique. We also describe three types of possible asymptotic behaviour of these proportions in the case of non-unique population quantile. As an application of our findings we establish limiting properties of numbers of ties with a central order statistics in a discrete sample. Our results are derived not only for independent and identically distributed observations but more generally for strictly stationary and ergodic sequences of random variables.     

Minimum variance unbiased estimation of stress–strength reliability under bivariate normal and its comparisons

In many industrial and natural phenomena, we need the probability that a component is smaller than the other component. Under a stress–strength model, this is reliability of an item. Under independent setup, there are different approaches for the estimation of such reliability. Here, estimation is considered under the dependent case. Under bi-variate setup uniformly minimum variance unbiased estimator is obtained. Also comparison with available estimator based on Maximum Likelihood Estimate (MLE) is done through Mean Square Error (MSE) and bias. Also these are compared by computing L₁ distance between their distribution functions. From this idea and numerical computations, UMVUE appears to be good.     

Tolerance limits under Poisson regression based on small-sample asymptotic methodology

This article explores the calculation of tolerance limits for the Poisson regression model based on the profile likelihood methodology and small-sample asymptotic corrections to improve the coverage probability performance. The data consist of n counts, where the mean or expected rate depends upon covariates via the log regression function. This article evaluated upper tolerance limits as a function of covariates. The upper tolerance limits are obtained from upper confidence limits of the mean. To compute upper confidence limits the following methodologies were considered: likelihood based asymptotic methods, small-sample asymptotic methods to improve the likelihood based methodology, and the delta method. Two applications are discussed: one application relating to defects in semiconductor wafers due to plasma etching and the other examining the number of surface faults in upper seams of coal mines. All three methodologies are illustrated for the two applications.     

Breaking the taboo: a history of monetary financing in Canada, 1930–1975

Monetary financing – the funding of state expenditure via the creation of new money rather than through taxation or borrowing – has become a taboo policy instrument in advanced economies. It is generally associated with dangerously high inflation and/or war. Relatedly, a key institutional feature of modern independent central banks is that they are not obligated to support government expenditure via money creation. Since the financial crisis of 2007–2008, however, unorthodox monetary policies, in particular quantitative easing, coupled with stagnant growth and high levels of public and private debt have led to questions over the monetary financing taboo. Debates on the topic have so far been mainly theoretical with little attention to the social and political dynamics of historical instances of monetary financing. This paper analyses one of the most significant twentieth‐century cases: Canada from the period after the Great Depression up until the monetarist revolution of the 1970s. The period was a successful one for the Canadian economy, with high growth and employment and manageable inflation. It offers some interesting insights into the relationship between states and central banks and present‐day discussions around the governance of money creation.