对加拿大的二氧化碳排放进行应用的概括波桑回归的偏差减少估计器
Fatimah M Alghamdi1, Ahmed M Gemeay2, Gamal A Abd-Elmougod3
1Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia.
Scientific reports
|November 10, 2025
概括
这项研究引入了一个值估计器,作为一个强大的替代方案,一般化的波桑回归模型 (GPRM),当多对线性存在时. 新方法为计数数据分析提供了更稳定,更可靠的参数估计.
科学领域:
- 统计 统计 统计 统计
- 计量经济学 计量经济学
- 环境科学 环境科学
背景情况:
- 一般化的波松回归模型 (GPRM) 用于计数数据,但标准的最大概率估计器在多线性时不可靠.
- 多对线性膨胀参数估计方差,危及统计推理和估计器稳定性.
研究的目的:
- 为GPRM中标准的最大概率估计器提出一个值估计器,作为一个强大的替代方案.
- 开发新的策略来选择最佳的山脊参数.
- 在多线性下评估山脊估计器的性能.
主要方法:
- 理论分析山脊估计器的统计特性.
- 广泛的蒙特卡洛模拟,以比较山脊估计器与标准方法.
- 在加拿大二氧化碳排放现实世界案例研究中应用峰估计器.
主要成果:
- 理论比较和模拟表明,在多对联线性下,峰估计器显著超过标准方法.
- 脊梁估计器表现出稳定性和效率,提供更稳定和可解释的结果.
- 现实世界的案例研究证实了峰估计器的优越性.
结论:
- 脊估计器是分析GPRM框架内的多边数计数据的有价值和强大的工具.
- 这种方法提高了环境和经济数据分析中的统计推断的可靠性.
- 建议的山脊参数选择策略提高了估计器的实际适用性.
相关概念视频
Regression Analysis
7.9K
Regression analysis is a statistical tool that describes a mathematical relationship between a dependent variable and one or more independent variables.
In regression analysis, a regression equation is determined based on the line of best fit– a line that best fits the data points plotted in a graph. This line is also called the regression line. The algebraic equation for the regression line is called the regression equation. It is represented as:
In regression analysis, a regression equation is determined based on the line of best fit– a line that best fits the data points plotted in a graph. This line is also called the regression line. The algebraic equation for the regression line is called the regression equation. It is represented as:
7.9K
Distributions to Estimate Population Parameter
5.0K
The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
5.0K
Bias in Epidemiological Studies
1.2K
Biases can arise at various stages of research, from study design and data collection to analysis and interpretation. Recognizing and addressing these biases is essential to ensure the validity and reliability of epidemiological findings.Broadly speaking, biases in epidemiology fall into three main categories: selection bias, information bias, and confounding. A more detailed description of possible biases is:
1.2K
Poisson Probability Distribution
11.6K
A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
The...
11.6K
Estimating Population Standard Deviation
3.3K
When the population standard deviation is unknown and the sample size is large, the sample standard deviation s is commonly used as a point estimate of σ. However, it can sometimes under or overestimate the population standard deviation. To overcome this drawback, confidence intervals are determined to estimate population parameters and eliminate any calculation bias accurately. However, this only applies to random samples from normally distributed populations. Knowing the sample mean and...
3.3K
Estimating Population Mean with Unknown Standard Deviation
8.7K
In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
William S. Gosset (1876–1937) of the...
William S. Gosset (1876–1937) of the...
8.7K


