Daily and annual average atmospheric environmental capacity coefficient(A-value) sequences for China's Mainland are calculated from hourly data recorded at 378 ground stations over 1975–2014. A-values at differen...Daily and annual average atmospheric environmental capacity coefficient(A-value) sequences for China's Mainland are calculated from hourly data recorded at 378 ground stations over 1975–2014. A-values at different recurrence intervals are calculated by fitting the sequences to Pearson type III distribution curves. Based on these A-values and source-sink balance(reference concentration 100 μg m^(-3)), atmospheric environmental capacities at the recurrence intervals are calculated for all of China's Mainland and each provincial administrative region. The climate average atmospheric environmental capacity reference value for the entire mainland is 2.169×10~7 t yr^(-1). An urban atmospheric load index is defined for analyses of the impact of population density on the urban atmospheric environment. Analyses suggest that this index is also useful for differentiating whether air quality changes are attributable to varying meteorological conditions or variations of artificial emission rate.Equations guiding the control of unorganized emission sources are derived for preventing air quality deterioration during urban expansion and population concentration.展开更多
In goodness-of-fit tests, Pearson＇s chi-squared test is one of most widely used tools of formal statistical analysis. However, Pearson＇s chi-squared test depends on the partition of the sample space. Different const...In goodness-of-fit tests, Pearson＇s chi-squared test is one of most widely used tools of formal statistical analysis. However, Pearson＇s chi-squared test depends on the partition of the sample space. Different constructions of the partition of the sample space may lead to different conclusions. Based on an equiprobable partition of sample space, a modified chi^quared test is proposed. A method for constructing the modified chi-squared test is proposed. As an application, the proposed test is used to test whether vectorial data come from an uniformity distribution defined on the hypersphere. Some simulation studies show that the modified chisquared test against different alternative is robust.展开更多
For the two side truncated distribution family: dPθ(x) = f(x;θ1θ2)I(θ≤ x≤θ2)dx, where θ=(θ1,θ2),θ < θ2,chen & Fu studied one side asymptotic efficiency of the estimator for parameter hation g(θ) =...For the two side truncated distribution family: dPθ(x) = f(x;θ1θ2)I(θ≤ x≤θ2)dx, where θ=(θ1,θ2),θ < θ2,chen & Fu studied one side asymptotic efficiency of the estimator for parameter hation g(θ) = c1θ1 + C2θ2, they pointed out that when c1c2≥0, there exist one side asymptotic efficient estimators for g(θ); when c1c2 < 0, the estimator they proposed is not asymptotically efficient. Then they put forward a question: Is there any other asymptotically efficient estimator for g(θ) when c1c2 <0? In this paper, we study this problem, we prove that when the distribution under consideration is uniform distribution with location and scale parameters, there does not exist one side asymptotically efficient estimators for the scale parameter.展开更多
基金supported by the National Natural Science Foundation of China (Grant No. 41405136)
文摘Daily and annual average atmospheric environmental capacity coefficient(A-value) sequences for China's Mainland are calculated from hourly data recorded at 378 ground stations over 1975–2014. A-values at different recurrence intervals are calculated by fitting the sequences to Pearson type III distribution curves. Based on these A-values and source-sink balance(reference concentration 100 μg m^(-3)), atmospheric environmental capacities at the recurrence intervals are calculated for all of China's Mainland and each provincial administrative region. The climate average atmospheric environmental capacity reference value for the entire mainland is 2.169×10~7 t yr^(-1). An urban atmospheric load index is defined for analyses of the impact of population density on the urban atmospheric environment. Analyses suggest that this index is also useful for differentiating whether air quality changes are attributable to varying meteorological conditions or variations of artificial emission rate.Equations guiding the control of unorganized emission sources are derived for preventing air quality deterioration during urban expansion and population concentration.
基金Foundation item： the Natural Science Foundation of Beijing （No. 1062001）Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality（No. 05006011200702）.Acknowledgements The authors cordially thank the Associate Editor and Reviewers for their constructive comments which lead to improvement of the manuscript. They are also very grateful to Prof. Adelaide Figueiredo for his help.
文摘In goodness-of-fit tests, Pearson＇s chi-squared test is one of most widely used tools of formal statistical analysis. However, Pearson＇s chi-squared test depends on the partition of the sample space. Different constructions of the partition of the sample space may lead to different conclusions. Based on an equiprobable partition of sample space, a modified chi^quared test is proposed. A method for constructing the modified chi-squared test is proposed. As an application, the proposed test is used to test whether vectorial data come from an uniformity distribution defined on the hypersphere. Some simulation studies show that the modified chisquared test against different alternative is robust.
文摘For the two side truncated distribution family: dPθ(x) = f(x;θ1θ2)I(θ≤ x≤θ2)dx, where θ=(θ1,θ2),θ < θ2,chen & Fu studied one side asymptotic efficiency of the estimator for parameter hation g(θ) = c1θ1 + C2θ2, they pointed out that when c1c2≥0, there exist one side asymptotic efficient estimators for g(θ); when c1c2 < 0, the estimator they proposed is not asymptotically efficient. Then they put forward a question: Is there any other asymptotically efficient estimator for g(θ) when c1c2 <0? In this paper, we study this problem, we prove that when the distribution under consideration is uniform distribution with location and scale parameters, there does not exist one side asymptotically efficient estimators for the scale parameter.
