
[數] 極限分布;極限分配
The limiting distribution of the test under null hypothesis is obtained.
在原假設下得到檢驗統計量的極限分布;
To construct confidence interval, the limiting distribution of change-point estimator is obtained.
為構造變點的置信區間給出了變點的極限分布。
The likelihood ratio criterion of sphericity test, its asymptotic expansion and limiting distribution are obtained.
論文得到了球形檢驗的似然比準則,它的漸近展開與極限分布。
Specifically, we obtain the limiting distribution of the present value function under the independence assumption among the future-lifetime random variables of the insured.
在各被保人的未來餘命隨機變量相互獨立的情形下,得到了現值函數的極限分布。
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.
利用上面分支結構的結果,我們給出了在隨機遞歸樹上的簡單向下隨機遊動的長度的漸近分布。
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,使用一種符合t分布的預測誤差統計量,使包容檢驗更加标準化,更加容易操作。
On Limiting Distribution of Partial Sum and Maximum, and Point Process of Dependent Gaussian Process;
在保證陰極清理作用的前提下,可以最大限度地減少鎢極的燒損。
They can stay small, exclusive, and premium-priced by limiting their distribution to selected stores in the major international cities.
他們選擇主要的國際性都市,有限制的開店,這樣維持了小,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…
然後對滲碳淬火鋼齒輪的彎曲疲勞試驗數據用JFKC法進行計算,得到了它的疲勞極限應力分布,并對比其相應的成組試驗法測定的疲勞極限應力分布進行了分析和讨論。
Since 1999, our government has promulgated a series of rules on limiting production, distribution and usage of white trash.
************于1999年開始陸續頒布了一系列條例,限制“白色垃圾”的生産、銷售和使用。
The results indicate that the tilting of inner and outer ring has obviously influence on the stress distribution under limiting static load conditions.
結果表明:在極限靜載荷工況下,内、外圈相對偏斜對關節軸承的應力場分布産生明顯影響;
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.
即它在解決“公共事務的悲劇”的同時又可能産生新的“悲劇” :即限制競争、導緻資源的不公平分配等問題。
In this paper, the peak stress is nonlinear portion of stress distribution and self - limiting could not be such an expression were analyzed.
本文對峰值應力是否僅是沿壁厚非線性分布的分量,峰值應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.
同時,今後的工作還會包含節約裝置,風扇周期,需求上限以及超冷空氣分配的各種形式的測驗。
Low temperature is a key limiting factor for growth, development and distribution of plant species.
低溫是影響植物生長發育及分布範圍的重要環境因子。
Conclusion There are many endemic areas of Paragonimus in Jiangxi Province, however, the distribution of Paragonimus has been gradually limiting to mountainous areas.
結論江西境内存在衆多的并殖吸蟲自然疫源地或流行區,但其分布發生了變化。
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.
研究表明新型橋式高溫超導限流器對于配電網的單次故障和二次故障都有很好的抑制作用和響應能力,且能很好地抑制母線電壓的跌落。
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燈平均分配若幹組,計算每組電路工作電壓電流及所需的限流電阻。
極限分布(limiting distribution)是概率論與統計學中的重要概念,指當某一參數(如時間、樣本量或狀态轉移次數)趨于無窮大時,隨機變量序列或隨機過程所趨近的穩定概率分布。其核心特征是無論初始條件如何變化,系統最終都會收斂到該分布。
在數學上,若隨機變量序列$X_n$滿足當$n to infty$時,其分布函數$F_n(x)$收斂于某個分布函數$F(x)$,則稱$F(x)$為$X_n$的極限分布。例如中心極限定理中,獨立同分布隨機變量的标準化和依分布收斂于正态分布。
應用領域包括:
該概念最早由柯爾莫哥洛夫在1931年通過《概率論的解析方法》系統闡述,後經杜布、費勒等學者完善為現代隨機過程理論的基礎工具。工程領域中,IEEE Transactions on Information Theory等頂級期刊的研究表明,極限分布對通信系統容量分析和信號檢測算法設計具有指導意義。
在統計學和概率論中,“limiting distribution”(極限分布)指當某個參數趨于特定值(如樣本量趨于無窮大)時,隨機變量序列的概率分布所收斂的最終分布形式。以下是詳細解釋:
核心定義
極限分布描述的是當試驗次數、時間或其他參數趨向于某一極限時,隨機過程的概率分布逐漸逼近的穩定狀态。例如,中心極限定理指出,獨立同分布隨機變量的均值隨着樣本量增大趨近于正态分布。
數學表達
若隨機變量序列 ( X_n ) 的分布函數 ( Fn(x) ) 滿足:
$$
lim{n to infty} F_n(x) = F(x)
$$
則稱 ( F(x) ) 為 ( X_n ) 的極限分布。
典型例子
應用場景
極限分布常用于統計推斷中的大樣本理論,例如估計量的漸近性質分析(如提到的比率估計值的極限分布),或隨機過程的長期行為研究。
補充說明:與“limiting”相關的術語如“limiting factor”(限制因素),強調約束條件,而“limiting distribution”則聚焦于概率分布的收斂特性。
Inner Mongoliacome alongoilyoutdoanticorrosionfunkedindefensiblyspawnedspeciesubcontractorEngel coefficientfiber optic cablefin stabilizerIntersection Curveought to do sthstatic stiffnessUncle Samaccouplementamphoterismaphanomycesbrakydesulfurizeectogenesiselastomahydrofinishleptitemicrocystmiagiteolefinsthorium