三模分布的一个一般类:属性和推理
Roberto Vila1, Victor Serra1, Mehmet Niyazi Çankaya2,3
1Departamento de Estatística, Universidade de Brasília, Brasilia, Brazil.
Journal of applied statistics
|July 22, 2024
概括
这项研究引入了用于增强数据建模的新型三模式概率分布. 新的分布有效地捕获显示三模式的数据集,改进现有模型.
科学领域:
- 统计 统计 统计 统计
- 可能性理论概率理论.
- 数学建模的数学建模
背景情况:
- 参数模型对于具有三模式的数据集是有效的.
- 现有的概率分布可能无法充分建模三模数据.
- 三模性,有多达三种模式,是一个复杂的数据特征.
研究的目的:
- 提出一个新类型的三模态概率分布.
- 为了改进建模,开发一个三模态高斯分布 (正常分布).
- 为了证明对现实世界数据的拟议分布的应用.
主要方法:
- 对于连续的概率密度函数应用一个转换来实现三模性.
- 高斯分布是专门适应的,以创建一个三模态正常分布.
- 计算分析和参数估计使用Mathematica 12.0.0进行.
- 启动后的真实数据集用于验证.
主要成果:
- 已经成功地提出了一个新类的三模态概率分布.
- 进行了对三极形高斯分布 (正常) 的详细研究.
- 拟议的分布证明了在三模式数据集上有效的建模能力.
结论:
- 新的三模分布提供了一种改进的方法,用于用三种模式建模数据.
- 三模态正常分布提供了一个可处理和有效的解决方案.
- 这些发现对于三模模式存在的统计建模具有重要意义.
相关概念视频
Probability Distributions
6.8K
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...
6.8K
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
Binomial Probability Distribution
10.3K
A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes.
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
10.3K
Probability Histograms
11.1K
A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.
11.1K
Data: Types and Distribution
711
In biostatistics, data are the observations collected for analysis. There are two main types: parametric and non-parametric. Parametric data, which include continuous (e.g., weight) and discrete numerical data (e.g., number of tablets), assume a particular distribution pattern, often the normal distribution. Non-parametric data do not adhere to a specific distribution and typically comprise nominal (e.g., gender) and ordinal categorical data (e.g., pain scale ratings).
Distributions in...
Distributions in...
711
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


