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Revealed Comparative Economies of Scope and Development Index
Shuhe Li,Changzhen Gong 서울대학교 경제연구소 1995 Seoul journal of economics Vol.8 No.3
In this note, we attempt to construct some summary statistic to measure economic development and make comparisons across countries. A development index is defined in terms of both "scale" and "scope". "Scale" is measured by output per capita. "Scope" is measured by revealed comparative economies of scope, which in turn is measured by the ratio of the variety of exports over the variety of imports for a country. Using purchasing power parity and the Standard International Trade Classification, we have computed the development index for forty countries.
Maximal inequalities for some dependent sequences and their applications
Shuhe Hu,Xiaoqin Li,Wenzhi Yang,Xuejun Wang 한국통계학회 2011 Journal of the Korean Statistical Society Vol.40 No.1
In this paper, we obtain the maximal inequalities for linear process, ϕ-mixing sequence and linearly negative quadrant dependent (LNQD) sequence when the rth moments of random variables are finite for r > 2. Applying these maximal inequalities above, we get the Hájek–Rényi-type inequality, strong law of large numbers, strong growth rate and integrability of supremum for these three sequences.
Elbow flow analysis and optimal exhaust port profile design
Yang Xu,Shuhe Huang,Liwang Su,Xiangyu Zhang,Yikai Li 대한기계학회 2022 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.36 No.3
In this study, the exhaust port profile of a diesel engine was numerically analyzed and optimized. First, the elbow profile results show that the separation loss of lower profile plays the main role in overall separation loss, it decreases sharply and then slowly with an increase of r lower /d. Within the range of 0 ≤ r lower /d ≤ 5, the total secondary flow loss increases sharply and then slowly with an increase of r lower /d. Under the same condition of relative pressure difference and lower profile, the elbow discharge coefficient increases with an increase of d mid /r upper and remains almost constant when d mid /r upper >1. The maximum discharge coefficient under a certain r lower condition increases with an increase of r lower . Afterwards, the applicability of elbow profile results to exhaust port were verified and an exhaust port profile design method was established based on a circular arc profile. Finally the feasibility of exhaust port profile design method was verified experimentally.
MAXIMAL INEQUALITIES AND STRONG LAW OF LARGE NUMBERS FOR AANA SEQUENCES
Xuejun, Wang,Shuhe, Hu,Xiaoqin, Li,Wenzhi, Yang Korean Mathematical Society 2011 대한수학회논문집 Vol.26 No.1
Let {$X_n$, $n{\geq}1$} be a sequence of asymptotically almost negatively associated random variables and $S_n=\sum^n_{i=1}X_i$. In the paper, we get the precise results of H$\acute{a}$jek-R$\acute{e}$nyi type inequalities for the partial sums of asymptotically almost negatively associated sequence, which generalize and improve the results of Theorem 2.4-Theorem 2.6 in Ko et al. ([4]). In addition, the large deviation of $S_n$ for sequence of asymptotically almost negatively associated random variables is studied. At last, the Marcinkiewicz type strong law of large numbers is given.
Exponential inequalities and complete convergence for a LNQD sequence
Wang Xuejun,Hu Shuhe,Yang Wenzhi,Li Xiaoqin 한국통계학회 2010 Journal of the Korean Statistical Society Vol.39 No.4
Some exponential inequalities for a linearly negative quadrant dependent sequence are obtained. By using the exponential inequalities, we give the complete convergence and almost sure convergence for a linearly negative quadrant dependent sequence. In addition,the asymptotic behavior of the probabilities for the partial sums of a linearly negative quadrant dependent sequence is studied.