两个反向高斯群体的替代分类规则具有共同的平均值和顺序受限的类似尺度的参数
Pushkal Kumar1, Manas Ranjan Tripathy1, Somesh Kumar2
1Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India.
Journal of applied statistics
|February 19, 2024
概括
本研究引入了使用最大概率估计器 (MLEs) 的逆高斯分布的新分类规则. 拟议的插件类型受限制的MLE在使用有序尺度参数对数据进行分类方面表现出卓越的性能.
科学领域:
- 统计 统计 统计 统计
- 可能性理论概率理论.
- 数据分类数据分类
背景情况:
- 涉及逆高斯分布的分类问题在统计分析中很常见.
- 最大概率估计器 (MLEs) 是强大的工具,但尚未充分利用在此背景下进行分类.
- 现有的方法可能无法充分利用从有序尺度参数中获取的信息.
研究的目的:
- 为两个具有共同平均值和有序尺度参数的逆高斯数组开发和评估新型分类规则.
- 调查基于最大概率估计器 (MLE) 和插件估计器的分类规则的性能.
- 在风险和正确分类 (EPC) 的预期概率方面,将拟议的方法与现有技术进行比较.
主要方法:
- 在受限顺序的尺度参数下,开发使用MLEs和插件估计器的几个分类规则.
- 建议估计器的风险值的数值比较,包括与Graybill-Deal类型估计器的比较.
- 基于正确分类的预期概率 (EPC) 的拟议分类规则的评估.
主要成果:
- 拟议的插件类型受限制的MLE显示出比其他估计器更好的性能,包括Graybill-Deal类型估计器.
- 几个拟议的分类规则在大多数参数空间中表现出比现有方法更好的性能.
- 数字模拟证实了开发的分类策略的有效性.
结论:
- 这项研究成功地提出并验证了逆高斯人口的新分类规则,增强了统计分类能力.
- 这些发现强调了使用插件类型限制的MLEs用于有订单尺度参数的分类任务的优势.
- 开发的方法为现实生活分类应用提供了更好的准确性和性能.
相关概念视频
One-Way ANOVA: Equal Sample Sizes
3.3K
One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
3.3K
One-Way ANOVA: Unequal Sample Sizes
5.8K
One-way ANOVA can be performed on three or more samples of unequal sizes. However, calculations get complicated when sample sizes are not always the same. So, while performing ANOVA with unequal samples size, the following equation is used:
5.8K
Central Limit Theorem
14.7K
The central limit theorem, abbreviated as clt, is one of the most powerful and useful ideas in all of statistics. The central limit theorem for sample means says that if you repeatedly draw samples of a given size and calculate their means, and create a histogram of those means, then the resulting histogram will tend to have an approximate normal bell shape. In other words, as sample sizes increase, the distribution of means follows the normal distribution more closely.
The sample size, n, that...
The sample size, n, that...
14.7K
Distributions to Estimate Population Parameter
4.1K
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...
4.1K
Choosing Between z and t Distribution
2.8K
The z and the Student t distribution estimate the population mean using the sample mean and standard deviation. However, to decide which distribution to use for a calculation, one needs to determine the sample size, the nature of the distribution, and whether the population standard deviation is known. If the population standard deviation is known and the population is normally distributed, or if the sample size is greater than 30, the z distribution is preferred. The Student t distribution is...
2.8K
Mechanistic Models: Compartment Models in Individual and Population Analysis
41
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...
41


