多元回归系数的所有k-容许估计

对于多元线性模型Y～N（XΘ，）（已知）中的可估函数SXΘ的估计问题，取损失函数为（δ－SXΘ）'（δ－SXΘ）．用风险函数矩阵的前k个顺序特征值之和作为比较不同估计的风险函数大小的标准，我们可定义所谓的"k－容许估计"．本文得到了SXΘ的线性估计AY＋D在一切估计类中k－容许的充要条件．

Performance of the geometric approach to fault detection and isolation in SISO,MISO,SIMO and MIMO systems

In this paper, a geometric approach to fault detection and isolation （FDI） is applied to a Multiple-Input Multipie-Output （MIMO） model of a frame and the FDI results are compared to the ones obtained in the Single-Input Single-Output （SISO）, Multiple-Input Single-Output （MISO）, and Single-Input Multiple-Output （SIMO） cases. A proper distance function based on parameters obtained from parametric system identification method is used in the geometric approach. ARX （Auto Regressive with exogenous input） and VARX （Vector ARX） models with 12 parameters are used in all of the above-mentioned models. The obtained results reveal that by increasing the number of inputs, the classification errors reduce, even in the case of applying only one of the inputs in the computations. Furthermore, increasing the number of measured outputs in the FDI scheme results in decreasing classification errors. Also, it is shown that by using probabilistic space in the distance function, fault diagnosis scheme has better performance in comparison with the deterministic one.

Stability of mine ventilation system based on multiple regression analysis

In order to overcome the disadvantages of diagonal connection structures that are complex and for which it is difficult to derive the discriminant of the airflow directions of airways, we have applied a multiple regression method to analyze the effect, of changing the rules of mine airflows, on the stability of a mine ventilation system. The amount of air （ Qj ） is determined for the major airway and an optimum regression equation was derived for Qi as a function of the independent variable （ Ri ）, i.e., the venti- lation resistance between different airways. Therefore, corresponding countermeasures are proposed according to the changes in airflows. The calculated results agree very well with our practical situation, indicating that multiple regression analysis is simple, quick and practical and is therefore an effective method to analyze the stability of mine ventilation systems.

Considerations About Municipal Government Finance in the State of the Espirito Santo： 2001/2009

Fiscal decentralization in Brazil has promoted a break in the national collection system and granted greater autonomy to states and municipalities against the federal government with regard to fundraising. The theoretical difference emerged, when one observes the greatest proliferation of local entities from the autonomy granted by the Federal Constitution （FC） from 1988 to the various levels of government, many of which almost totally depend on inter-governmental transfers. There are those who advocate the strengthening of public actions from observing the problems of small units （municipalities） and who will now have greater decision-making freedom. Therefore, this article aims to analyze the public finances of municipalities in the core theoretical （all people born in Espirito Santo） state guided by the Fiscal Responsibility Law （FRL） and fiscal decentralization in the country. For this purpose, they were taken as the time frame 2001 and 2009. Methodologically, this paper used a literature review, as well as data from the National Treasury Secretariat （STN）. In addition, authors took as a tool to help multiple regression models to strengthen the results. The principal evidence shows that, even with a slight improvement in the framework of indicators of revenue, these municipalities have proved essentially dependent on resources from the Union. Additionally, the results show a relative reduction of spending on items, such as staff costs and legislation in one year to another. In parallel, there were greater participation of the variables, costs of health and sanitation, education and culture, among others, to explain the variation of the expenditure of municipalities in Espirito Santo in the years observed. The data fit well to the model with a significance level of 1%.

Do Satisfaction and Loyalty Have a Linear Relationship？ Effect of the Education Level on Arts Participation

This paper aims to explore the relationship between perceived satisfaction and loyalty of Spanish arts participants. Evidence suggests that customer satisfaction plays a key role in an organization＇s ability to maintain a relationship with its customers. We examined the link between satisfaction and loyalty within a theoretical framework based on an empirical study in which data from more than 14,000 respondents were obtained. This data allowed us to evaluate the arts consumer from an attitudinal and behavioral perspective looking at their interests, satisfaction level, frequency of attendance, and compare it using the participant＇s education level. A descriptive statistical analysis using ANOVA （analysis of variance）, correlation, partial correlation, and multiple regression provided evidence that, in the context of experiencing an arts show, satisfaction does not have any impact on loyalty but education level plays a significant role in people＇s interest and loyalty.

Variability features of the width of the tropical belt from COSMIC radio occultation data

In this work, we analyzed time-series and trends of the tropical belt edges and widths with three methods based on the tropopause using new global positioning system radio occultation(GPS RO) data from the Constellation Observing System for Meteorology, Ionosphere, and Climate(COSMIC) mission for September 2006–February 2014. The results from the three methods agreed well with previous studies and new features were found. To avoid the El Ni?o Southern Oscillation(ENSO) and Quasi-Biennial Oscillation(QBO) influence, we applied a simple multiple linear regression model to the monthly anomalies to obtain the tropical belt edges and width trends. During the study, we found equatorward movements of the tropical belt edges on both hemispheres. The narrowing of the tropical belt mainly occurred in the Pacific Ocean. We also found that the deseasonalized monthly anomalies of the tropical belt width were closely related with the ENSO and QBO. The tropical belt at a height of 15 km was mostly closely related with the ENSO. The correlations between the QBO and the tropical belt were consistent for the three methods.

Denitrification Rates and Their Controlling Factors in Streams of the Han River Basin with Different Land-Use Patterns

Land-use patterns can affect various nutrient cycles in stream ecosystems, but little information is available about the effects of urban development on denitrification processes at the watershed scale. In the presented study, we investigated the controlling factors of denitrification rates within the streams of the Han River Basin, Korea, with different land-use patterns, in order to enhance the effectiveness of water resource management strategies. Ten watersheds were classified into three land-use patterns （forest, agriculture and urban） using satellite images and geographic information system techniques, and in-situ denitrification rates were determined using an acetylene blocking method. Additionally, sediment samples were collected from each stream to analyze denitrifier communities and abundance using molecular approaches. In-situ denitrification rates were found to be in the order of agricultural streams （289.6 mg N20-N m-2 d-1） 〉 urban streams （157.0 mg N20-N m-2 d-1） 〉 forested streams （41.9 mg N20-N m-2 d-l）. In contrast, the average quantity of denitrifying genes was the lowest in the urban streams. Genetic diversity of denitrifying genes was not affected by watershed land-use pattern, but exhibited stream-dependent pattern. More significance factors were involved in denitrification in the sites with higher denitrification rates. Multiple linear regression analysis revealed that clay, dissolved organic carbon and water contents were the main factors controlling denitrification rate in the agricultural streams, while dissolved organic carbon was the main controlling factor in the urban streams. In contrast, temperature appeared to be the main controlling factor in the forested streams.