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相关概念视频

Poisson Probability Distribution01:09

Poisson Probability Distribution

7.8K
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...
7.8K
Poisson's Ratio01:23

Poisson's Ratio

390
Poisson's ratio is a material property that indicates their stress response. It explains the connection between the elongation or compression a material undergoes in the direction of an applied force and the contraction or expansion it experiences perpendicular to that force. When a slender bar is loaded axially, it stretches in the direction of the force and contracts laterally. Poisson's ratio is the negative ratio of this lateral contraction to the axial elongation. The negative sign...
390
Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

2.7K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
2.7K
Probability Distributions01:32

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...
6.8K
Normal Distribution01:11

Normal Distribution

10.6K
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...
10.6K
Binomial Probability Distribution01:15

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,...
10.3K

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相关实验视频

Updated: Jun 13, 2025

Observation and Analysis of Blinking Surface-enhanced Raman Scattering
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Observation and Analysis of Blinking Surface-enhanced Raman Scattering

Published on: January 11, 2018

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零和加/减1的膨胀扩展的波桑分布.

Maher Kachour1, Christophe Chesneau2

  • 1ESSCA School of Management, Lyon, France.

Journal of applied statistics
|September 9, 2024
PubMed
概括

这项研究引入了一种新的计数数据分布,扩展了零和一个膨胀的波桑模型. 新的分布有效地处理像足球比分这样的数据集中的多余的零,零和零.

科学领域:

  • 统计 统计 统计 统计
  • 可能性理论概率理论.
  • 计量经济学 计量经济学

背景情况:

  • 计数数据经常显示过多的零或零,这对标准Poisson模型构成挑战.
  • 现有的零膨胀和单膨胀模型可能无法充分捕获多余的零和零,或负数量的数据.

研究的目的:

  • 为计数数据引入新的灵活分布,称为"分布名称"分布.
  • 扩展现有的零和一个膨胀的波桑分布的功能.
  • 提供一个强大的统计工具来分析复杂的零/一通胀模式的计数数据.

主要方法:

  • 定义新的[分布名称]分布,并推导出其关键的概率性质.
  • 在拟议的分布框架内研究参数估计的方法.
  • 进行模拟研究以评估估计技术的性能和准确性.

主要成果:

  • 拟议的[分布名称]分布在模拟计数数据中具有多余的零,零和零的灵活性.
  • 通过模拟实验,参数估计方法被证明是有效的.
  • 使用真实世界足球比分数据集验证了分布的实际实用性.

结论:

关键词:
零和一个膨胀的波桑分布.数计数据分析 数计数据分析在定义的离散分布上定义的离散分布扩展的普森分布 普森分布模拟模拟是指一个模拟模拟.

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  • [分布名称]分布为分析专业计数数据提供了一个有价值的替代方案.
  • 开发的估计技术为新分布提供了可靠的参数估计.
  • 这项工作为过多的零/一膨胀计数数据领域的统计建模提供了一个新的工具.