
[数] 极限分布;极限分配
The limiting distribution of the test under null hypothesis is obtained.
在原假设下得到检验统计量的极限分布;
To construct confidence interval, the limiting distribution of change-point estimator is obtained.
为构造变点的置信区间给出了变点的极限分布。
The likelihood ratio criterion of sphericity test, its asymptotic expansion and limiting distribution are obtained.
论文得到了球形检验的似然比准则,它的渐近展开与极限分布。
Specifically, we obtain the limiting distribution of the present value function under the independence assumption among the future-lifetime random variables of the insured.
在各被保人的未来余命随机变量相互独立的情形下,得到了现值函数的极限分布。
Based on these branching structure properties, the limiting distribution for the length of a ****** downward random walk on a random recursive tree with size nis shown.
利用上面分支结构的结果,我们给出了在随机递归树上的简单向下随机游动的长度的渐近分布。
Thirdly, we define a new statistic of the forecast errors whose limiting distribution is t-distribution, thus the encompassing tests is standardized and the operations are ******.
第三,使用一种符合t分布的预测误差统计量,使包容检验更加标准化,更加容易操作。
On Limiting Distribution of Partial Sum and Maximum, and Point Process of Dependent Gaussian Process;
在保证阴极清理作用的前提下,可以最大限度地减少钨极的烧损。
They can stay small, exclusive, and premium-priced by limiting their distribution to selected stores in the major international cities.
他们选择主要的国际性都市,有限制的开店,这样维持了小,唯一和高端。
The authors have used this method on computer to get the bending fatigue test data of carburized and quenched gears and the fatigue limiting stress distribution. Furthermore, the…
然后对渗碳淬火钢齿轮的弯曲疲劳试验数据用JFKC法进行计算,得到了它的疲劳极限应力分布,并对比其相应的成组试验法测定的疲劳极限应力分布进行了分析和讨论。
Since 1999, our government has promulgated a series of rules on limiting production, distribution and usage of white trash.
************于1999年开始陆续颁布了一系列条例,限制“白色垃圾”的生产、销售和使用。
The results indicate that the tilting of inner and outer ring has obviously influence on the stress distribution under limiting static load conditions.
结果表明:在极限静载荷工况下,内、外圈相对偏斜对关节轴承的应力场分布产生明显影响;
When it settles the public affairs trage***s, new trage***s may occur. For instance, the problem of limiting competition, and causing unfair distribution of resources.
即它在解决“公共事务的悲剧”的同时又可能产生新的“悲剧” :即限制竞争、导致资源的不公平分配等问题。
In this paper, the peak stress is nonlinear portion of stress distribution and self - limiting could not be such an expression were analyzed.
本文对峰值应力是否仅是沿壁厚非线性分布的分量,峰值应力是否都具有自限性作出分析。
Also, future work may include examination of various forms of economizer cycle, fan cycling, demand limiting, and super-cold air distribution.
同时,今后的工作还会包含节约装置,风扇周期,需求上限以及超冷空气分配的各种形式的测验。
Low temperature is a key limiting factor for growth, development and distribution of plant species.
低温是影响植物生长发育及分布范围的重要环境因子。
Conclusion There are many endemic areas of Paragonimus in Jiangxi Province, however, the distribution of Paragonimus has been gradually limiting to mountainous areas.
结论江西境内存在众多的并殖吸虫自然疫源地或流行区,但其分布发生了变化。
The simulation results demonstrate that the new bridge type SFCL has good limiting effect and response ability for single fault and double fault in distribution network system.
研究表明新型桥式高温超导限流器对于配电网的单次故障和二次故障都有很好的抑制作用和响应能力,且能很好地抑制母线电压的跌落。
All LED light average distribution of several groups, each group work voltage and current calculating circuit and the current limiting resistor.
将所有LED灯平均分配若干组,计算每组电路工作电压电流及所需的限流电阻。
极限分布(limiting distribution)是概率论与统计学中的重要概念,指当某一参数(如时间、样本量或状态转移次数)趋于无穷大时,随机变量序列或随机过程所趋近的稳定概率分布。其核心特征是无论初始条件如何变化,系统最终都会收敛到该分布。
在数学上,若随机变量序列$X_n$满足当$n to infty$时,其分布函数$F_n(x)$收敛于某个分布函数$F(x)$,则称$F(x)$为$X_n$的极限分布。例如中心极限定理中,独立同分布随机变量的标准化和依分布收敛于正态分布。
应用领域包括:
该概念最早由柯尔莫哥洛夫在1931年通过《概率论的解析方法》系统阐述,后经杜布、费勒等学者完善为现代随机过程理论的基础工具。工程领域中,IEEE Transactions on Information Theory等顶级期刊的研究表明,极限分布对通信系统容量分析和信号检测算法设计具有指导意义。
在统计学和概率论中,“limiting distribution”(极限分布)指当某个参数趋于特定值(如样本量趋于无穷大)时,随机变量序列的概率分布所收敛的最终分布形式。以下是详细解释:
核心定义
极限分布描述的是当试验次数、时间或其他参数趋向于某一极限时,随机过程的概率分布逐渐逼近的稳定状态。例如,中心极限定理指出,独立同分布随机变量的均值随着样本量增大趋近于正态分布。
数学表达
若随机变量序列 ( X_n ) 的分布函数 ( Fn(x) ) 满足:
$$
lim{n to infty} F_n(x) = F(x)
$$
则称 ( F(x) ) 为 ( X_n ) 的极限分布。
典型例子
应用场景
极限分布常用于统计推断中的大样本理论,例如估计量的渐近性质分析(如提到的比率估计值的极限分布),或随机过程的长期行为研究。
补充说明:与“limiting”相关的术语如“limiting factor”(限制因素),强调约束条件,而“limiting distribution”则聚焦于概率分布的收敛特性。
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