Linearization and variance estimation of the Bonferroni inequality index

Author(s):  
Ziqing Dong ◽  
Yves Tillé ◽  
Giovanni M. Giorgi ◽  
Alessio Guandalini
2012 ◽  
Vol 9 (1) ◽  
pp. 65-74 ◽  
Author(s):  
Agustín Escobar Latapi

Although the migration – development nexus is widely recognized as a complex one, it is generally thought that there is a relationship between poverty and emigration, and that remittances lessen inequality. On the basis of Latin American and Mexican data, this chapter intends to show that for Mexico, the exchange of migrants for remittances is among the lowest in Latin America, that extreme poor Mexicans don't migrate although the moderately poor do, that remittances have a small, non-significant impact on the most widely used inequality index of all households and a very large one on the inequality index of remittance-receiving households, and finally that, to Mexican households, the opportunity cost of international migration is higher than remittance income. In summary, there is a relationship between poverty and migration (and vice versa), but this relationship is far from linear, and in some respects may be a perverse one for Mexico and for Mexican households.


2016 ◽  
Vol 4 (2) ◽  
pp. 183 ◽  
Author(s):  
Latife Sinem Sarul ◽  
Özge Eren

Gender Inequality Index is a major indicator presenting level of development of the countries as Human Development Index, which is calculated regularly every year by UN. In this study, an alternative calculation has been proposed for measuring gender inequality index which is an important barrier for the human development. Each indicator in the index integrated as MAUT- AHP and also AHP-TOPSIS and these methods carried out again for the alternative ranking member and candidate countries of the European Union. The main objective here is to represent that the indicators form gender inequality index can be reclassified with different weights for each indicator.


2020 ◽  
Vol 165 ◽  
pp. 03005
Author(s):  
Li Jianzhang

Using the precision trigonometric elevation instead of the precision levelling to build a CPⅢ elevation control network will greatly increase the speed of CPⅢ control network construction. However, the accuracy of CPIII precision trigonometric elevation control network is still difficult to reach the level of CPⅢ precision levelling network. Based on the existing parameter method, this paper introduces some precision levelling for joint adjustment, and uses Helmert’s variance estimation method to perform strict weight determination. Our experiments show that when the number of precision levelling participating in the joint adjustment exceeds 1/3 of the total number of CPⅢ precision levelling network observations, the accuracy of the CPIII precision trigonometric elevation control network can be effectively improved.


2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Thomas B. Lynch ◽  
Jeffrey H. Gove ◽  
Timothy G. Gregoire ◽  
Mark J. Ducey

Abstract Background A new variance estimator is derived and tested for big BAF (Basal Area Factor) sampling which is a forest inventory system that utilizes Bitterlich sampling (point sampling) with two BAF sizes, a small BAF for tree counts and a larger BAF on which tree measurements are made usually including DBHs and heights needed for volume estimation. Methods The new estimator is derived using the Delta method from an existing formulation of the big BAF estimator as consisting of three sample means. The new formula is compared to existing big BAF estimators including a popular estimator based on Bruce’s formula. Results Several computer simulation studies were conducted comparing the new variance estimator to all known variance estimators for big BAF currently in the forest inventory literature. In simulations the new estimator performed well and comparably to existing variance formulas. Conclusions A possible advantage of the new estimator is that it does not require the assumption of negligible correlation between basal area counts on the small BAF factor and volume-basal area ratios based on the large BAF factor selection trees, an assumption required by all previous big BAF variance estimation formulas. Although this correlation was negligible on the simulation stands used in this study, it is conceivable that the correlation could be significant in some forest types, such as those in which the DBH-height relationship can be affected substantially by density perhaps through competition. We derived a formula that can be used to estimate the covariance between estimates of mean basal area and the ratio of estimates of mean volume and mean basal area. We also mathematically derived expressions for bias in the big BAF estimator that can be used to show the bias approaches zero in large samples on the order of $\frac {1}{n}$ 1 n where n is the number of sample points.


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