有应用的分布的正弦值奇数-G家族
Laxmi Prasad Sapkota1, Pankaj Kumar2, Vijay Kumar2
1Department of Statistics, Tribhuvan University, Tribhuvan Multiple Campus, Palpa, Nepal.
Scientific reports
|August 22, 2024
概括
研究人员开发了一个新的"三角形概率分布的Sine pie-power奇数-G家族". 这种基于韦布尔分布的新型分布在现实世界工程数据分析中表现出卓越的性能.
科学领域:
- 概率理论的概率理论是什么
- 统计建模 统计建模
- 数学统计的数学统计.
背景情况:
- 传统的概率分布可能无法捕捉复杂的现实世界现象.
- 新分布家族的发展对于先进的统计分析至关重要.
- 三角形变换为分布结构提供了一种新的方法.
研究的目的:
- 引入一个新的三角形概率分布家族,即"Sine pie-power odd-G家族".
- 调查这个新家族的基本特征和统计属性.
- 使用真实世界的数据来证明这个家族的特定成员的适用性和优越性.
主要方法:
- 使用赔率比率和正弦转换来构建正弦曲面乘数奇数G家族.
- 使用韦布尔分布作为基础的特定分布成员的推导.
- 通过最大概率估计 (MLE) 进行参数估计.
- 通过蒙特卡洛模拟验证和对真实工程数据集的分析.
主要成果:
- 拟议的Sine pie-power奇数G分布表现出灵活的危险函数形状 (例如,增加,减少,浴).
- 蒙特卡洛模拟显示,随着样本大小的增加,偏差和平均平方误差减少.
- 拟议的模型在实际工程数据上表现出优越的性能,与现有的六种模型相比,模型选择标准和合适性测试证实了这一点.
结论:
- 松饼功率奇数G家族为统计建模提供了灵活和有效的工具.
- 拟议的发行版在工程应用中比现有模型提供了更好的性能.
- 该研究强调了三角形变换在开发新概率分布方面的潜力.
相关概念视频
Even and Odd Signals
775
An even signal, whether in continuous-time or discrete-time, is defined by its symmetry with its time-reversed version. Mathematically, this is represented as
775
Properties of Fourier series II
140
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
A function f(t) is...
140
Properties of Fourier series I
282
The Fourier series is a powerful tool in signal processing and communications, allowing periodic signals to be expressed as sums of sine and cosine functions. A foundational property of the Fourier series is linearity. If we consider two periodic signals, their linear combination results in a new signal whose Fourier coefficients are simply the corresponding linear combinations of the original signals' coefficients. This property is crucial in applications like frequency modulation (FM)...
282
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
Basic signals of Fourier Transform
481
The Fourier Transform is a pivotal mathematical tool in signal processing, enabling the transformation of time-domain signals into their frequency-domain representations. Among the numerous elements within this domain, certain functions like the sinc function, delta function, and exponential signals hold significant importance due to their unique properties and implications.
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at...
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at...
481
Sinusoidal Sources
491
Direct current (DC) refers to an electric current that flows in a single direction, maintaining a constant polarity. This is in contrast to alternating current (AC), which periodically changes its direction and magnitude. AC forms the backbone of modern electricity transmission and distribution systems due to its efficient long-distance transmission capabilities.
In homes, the power supplies use sinusoidal sources to provide electricity. These sources generate a voltage that varies sinusoidally...
In homes, the power supplies use sinusoidal sources to provide electricity. These sources generate a voltage that varies sinusoidally...
491


