相关的delta-lognormal群体中参数的更新信托分布
1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China.
PloS one
|June 5, 2024
概括
这项研究引入了一种新的统计方法,用于分析具有许多零值的数据,改进了对delta-lognormal分布的参数估计. 这种方法提高了信心区间和假设测试准确度.
科学领域:
- 统计 统计 统计 统计
- 可能性理论概率理论.
- 统计建模 统计建模
背景情况:
- 半连续分布在各种领域都很常见.
- 逻辑正常分布经常用于建模正连续数据.
- 处理多余的零需要专门的统计方法.
研究的目的:
- 开发一个半连续数据的统计框架,将零与逻辑正常分布参数联系在一起.
- 引入一个对delta-lognormal分布的适合性测试.
- 定义更新的信托分配,并评估它们的参数推断属性.
主要方法:
- 为delta-lognormal分布提出了一个适合性测试.
- 定义了模型参数的更新信托分配.
- 为更新的信托分配开发了一个精确的抽样方法.
- 进行模拟研究以评估方法的性能.
主要成果:
- 合适性测试验证了数据适用于delta-lognormal模型的合适性.
- 置信区间和假设测试实现了异常正确的水平.
- 拟议的抽样方法允许从更新的信托分配中准确推断.
- 模拟结果显示,参数估计有了显著的改进.
结论:
- 这种新的方法有效地处理半连续数据与多余的零.
- 该方法为delta-lognormal分布提供了可靠的统计推理.
- 这项工作为分析应用统计学中复杂数据结构提供了有价值的工具.
相关概念视频
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
F Distribution
3.7K
The F distribution was named after Sir Ronald Fisher, an English statistician. The F statistic is a ratio (a fraction) with two sets of degrees of freedom; one for the numerator and one for the denominator. The F distribution is derived from the Student's t distribution. The values of the F distribution are squares of the corresponding values of the t distribution. One-Way ANOVA expands the t test for comparing more than two groups. The scope of that derivation is beyond the level of this...
3.7K
Normal Distribution
10.7K
The normal, a continuous distribution, is the most important of all the distributions. Its graph is a bell-shaped symmetrical curve, which is observed in almost all disciplines. Some of these include psychology, business, economics, the sciences, nursing, and, of course, mathematics. Some instructors may use the normal distribution to help determine students’ grades. Most IQ scores are normally distributed. Often real-estate prices fit a normal distribution. The normal distribution is...
10.7K
Central Limit Theorem
14.6K
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...
14.6K
Probability Distributions
6.9K
The probability of a random variable x is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
6.9K
Chi-square Distribution
3.6K
How does one determine if bingo numbers are evenly distributed or if some numbers occurred with a greater frequency? Or if the types of movies people preferred were different across different age groups or if a coffee machine dispensed approximately the same amount of coffee each time. These questions can be addressed by conducting a hypothesis test. One distribution that can be used to find answers to such questions is known as the chi-square distribution. The chi-square distribution has...
3.6K


