根据Rao-Yu模型的同时方程,小面积估计人均消费支出
Reny Ari Noviyanti1,2, Setiawan1, Agnes Tuti Rumiati1
1Department of Statistics, Faculty of Science and Data Analytics, Institut Teknologi Sepuluh Nopember, Surabaya 60111, Indonesia.
MethodsX
|January 13, 2025
概括
本研究引入了用于小面积估计的Rao-Yu同时方程 (SERY) 模型,考虑变量之间的因果关系. 该模型有效地使用一种新的参数估计方法估计了人均食品和非食品支出.
科学领域:
- 统计 统计 统计 统计
- 计量经济学 计量经济学
- 小面积估计 小面积估计
背景情况:
- 社会经济变量经常表现出相关性和因果关系.
- 传统的小面积估计方法可能无法完全捕捉到这些复杂的相互依存关系.
- 使用同步方程的间接估计提供了一个潜在的解决方案.
研究的目的:
- 为小面积估计提出Rao-Yu同时方程 (SERY) 模型.
- 为了适应时间序列和横截面数据中变量之间的因果关系.
- 为拟议的模型开发一个可靠的参数估计方法.
主要方法:
- 同时方程罗-尤 (SERY) 模型的开发,这是罗-尤模型的修改.
- 加入随机区域和时间变化的效果.
- 应用三阶段最小平方限制参数估计和平均平方误差计算的最大概率.
主要成果:
- 该 SERY 模型成功地容纳了社会经济变量之间的因果关系.
- 三阶段最小平方限制最大概率方法提供可靠的经验最佳线性无偏预测器.
- 该模型有效地用于估计人均食品和非食品消费支出.
结论:
- 在存在因果关系的情况下,SERY模型为小面积估计提供了统计学上合理的方法.
- 拟议的估计方法适用于拟合复杂的混合效应模型.
- 该应用程序证明了该模型在估计关键社会经济指标方面的实用性.
相关概念视频
Mechanistic Models: Compartment Models in Individual and Population Analysis
26
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
26
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
381
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
On...
381
Distributions to Estimate Population Parameter
4.0K
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...
4.0K
Econometric Views (EViews)
111
Econometric Views, often stylized as EViews, is a package that merges statistical analysis with econometric studies. It is designed to provide tools for time series analysis, forecasting, and econometric model simulation. The software originated from MicroTSP software and has evolved significantly since its inception in 1981. The history of EViews is marked by a continuous effort to enhance its computational speed and user interface. It was initially developed for large computing systems but...
111
Estimating Population Mean with Unknown Standard Deviation
7.6K
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...
7.6K
Estimating Population Standard Deviation
3.0K
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...
3.0K


