極小極大估計 的英文怎麼說
中文拼音 [jíxiǎojídàgūjì]
極小極大估計
英文
minimax estimation- 極 : i 名詞1 (頂點; 盡頭) the utmost point; extreme 2 (地球的南北兩端; 磁體的兩端; 電源或電器上電流...
- 小 : Ⅰ形容詞1 (體積、面積、數量、強度等不大) small; little; petty; minor 2 (年紀小的; 年幼的) youn...
- 估 : 估構詞成分。
- 計 : Ⅰ動詞1 (計算) count; compute; calculate; number 2 (設想; 打算) plan; plot Ⅱ名詞1 (測量或計算...
- 估計 : estimate; evaluate; take stock of; size up; calculate; appraise; reckon; estimation; forecast
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A modificatory mle model has been put forward to reduce the estimate error of reliability characteristic parameter in case of the little fail data
本文提出一個極大似然估計( mle )的修正模型( mmle ) ,以減小採用mle在小子樣情況下可靠性特徵量的估計誤差。Then, with the concept of accumulated failure probability, the proposed approach combines the least ? quares method with bayes " theorem, takes advantage of the parameter estimation for single weibull distribution to each derived subgroup data set, and estimates the parameters of each subpopulation. the estimates given by this paper also satisfy the maximum likelihood equation. the mean time to failure and the reliability estimation of the mixed population are given
然後通過利用累積失效概率等概念,對每個導出的子組數據集聯合運用最小二乘法、貝葉斯定理和對單一威布爾分佈的參數估計法,從而得到每個子總體的滿足極大似然原理的參數估計,給出了該混合總體平均壽命和可靠度的估計。Abstract : the sample breakdown point of a test is defined as the smallest proportion of arbitrary outlier in the sample that reverses the test decision. in this paper, wegive the sample breakdown point of a test for maximum likelihood estimate of exponential distribution parameter and analyze the asymptotically normal characteristic of the sample breakdown point
文摘:如何量化一種統計方法對異常值的不敏感性一直是穩健統計研究的一個重要課題.檢驗的樣本崩潰點是樣本中能逆轉判決的離群值的最小比例.在研究相關文獻的基礎上,計算出指數分佈參數極大似然估計檢驗的樣本崩潰點,並分析了樣本崩潰點的漸近正態性,為量化統計方法的穩健性提供了一種新的途徑The endurance function of the insulation field is widely concerned in the power system. according to the equality between the two dimensional weibull distribution and the law of electrical aging, after the method for estimation of the voltage endurance coefficient is presented by the maximum likelihood estimation and the minimum square estimation of the two dimensional weibull distribution parameters, on the basis of the analysis of the test disadvantages under invariable voltage, the method of obtaining the voltage endurance coefficient under the intension increased by degrees is considered
電氣絕緣電老化性能是電力系統普遍關注的問題,由於二元weibull分佈與電老化定律在評價絕緣老化特性上存在等價性,本文首先介紹了二元weibull分佈參數採用極大似然法和最小二乘法估計獲得電壓壽命指數的方法,同時在分析其在恆定電壓下試驗容易出現,由於電壓選擇不當導致試驗時間過長現象的基礎上,討論了利用場強遞增方式確定電壓壽命指數的方法。A batch least - squares maximum likelihood estimator is employed to calibrate the model coefficients of accelerometer and a polynomial post - fit method is used to establish temperature models of these coefficients. the temperature models of accelerometer bias and scale factor of accelerometer are established between - 20oc and 50 oc. after compensating the temperature error by using these models, the post - fit residuals of the accelerometer output have been improved to 10 ? 5 g, and the trend term of accelerometer changing with temperature basically vanished
採用最小二乘極大似然估計和多項式擬合的方法,分析加速度計靜態模型系數隨加速度計殼體溫度變化的規律,建立了- 20oc 50oc之間加速度計零偏和標度因數誤差的溫度模型,應用該模型對加速度計溫度干擾進行補償,補償后,加速度計輸出的擬合均方根誤差一到二個數量級,並且基本上消除了加速度計輸出隨溫度變化的趨勢項,使得加速度計測量精度得到了明顯提高。Then, took least squares estimator of test data as preliminary estimate, applied versatile maximum likelihood estimate method to treat test data, obtained the estimators of electrical connectors reliability characteristic values
並以試驗數據的最小二乘估計值為初始值,應用極大似然估計方法對試驗數據進行統計處理,得出了電連接器可靠性特徵值的估計值。It comes up with a new notion, d - solution, which is applied to the distance estimation, by virtue of hilbert space ; furthermore, the dissertation has gained a necessary condition which is identity of minimum mean - square value in linear function classes, so that d - solution extends minimum mean - square value within the domain of nonlinear function equation or equation system ; and, the dissertation studies in detail the classical moment estimation and maximal likelihood estimation on the parameters of ar ( p ), a series of theorems in the estimation section shows the moment estimators are consistent on the ground of large samples jikewise, those distribution functions of the estimated parameters accord to maximum likelihood estimation converge gauss distribution if the white noise is gaussan
首先,藉助hilbert空間理論,提出了距離估計的d -解,給出了d -解的必要條件,這個條件在線性函數類里即是極小二乘估計法, d -解的必要條件滿足的方程實質上將極小二乘估計法推廣到多函數及非線性函數類。再而,詳細地研究了多元弱平穩序列自回歸模型ar ( p )的參數經典的矩的替代估計和極大似然估計,獲得矩的替代估計的一致性的結果。對基於gauss白噪聲假設多元弱平穩序列自回歸模型的均值、白噪聲的協方差陣的極大似然估計都有依分佈收斂到多元正態分佈的統計性質。In this paper, based on wu ' s method and the estimation for maximal and minimal polynomials, we extend the real root isolation algorithm from univariant integral polynomial to multivariant integral polynomial systems. it gives the solutions of polynomial systems in the form of multi - dimensional boxes
我們利用吳方法和極大,極小多項式估計,推廣多項式實根分離演算法( realrootisolation )到多項式組的情形( mrealrootisolation ) ,該演算法以空間中的矩形區域形式給出了多項式組的實解In this paper, we discussed the procedures of quantiles, maximum - likelihood, probability weighted moments, moments, least square, the best linear unbiased estimate, good linear unbiased estimation, and the best invariant estimate to the parameters of gumbel distribution, then give out the expectation and variance - covariance respectively. we compared the statistical behavior of these eight estimate procedures not only theoretically but also in the monte - carlo simulation
本文利用分位數法、極大似然法、概率加權矩法、矩法、最小二乘法、最佳線性無偏估計法、簡單線性無偏估計法、最好線性同變估計法對gumbel分佈中的參數進行估計,分別給出了這八種估計量的期望、方差和協方差。( 3 ) aiming at the deficiency of present methods of network traffic anomaly, this paper proposes a new scale - adaptive detection mechanism. by means of wavelet packet decomposition, our method has the same detective ability to middle and high frequency as well as low frequency anomaly ; by means of reconstruct the wavelet packet
該方法利用層疊模型從本質上體現流量性質的特點,選擇用多分辨分析( mra )和小波變換模極大( wtmm )估計層疊模型的判定條件作為檢測依據,通過對擬合曲線誤差的估計來判定異常的發生。This algorithm improves confidence in se by estimating parameters and states at the same time. simulation results on test power systems which range in size from 4 to 118 buses, have shown the virtues as follows : getting unbiased estimation without detecting and identifying bad data in measurements ; solving state and parameter estimation for power system with good convergence and excellent robust property ; increasing the numbers of iterations a little bit with the test systems expanded ; estimating many transformer taps simultaneously and remaining the main state estimation ; keeping the estimated relative error within + 0. 1 % and processing efficiently equality constraints and ill condition with polynomial complexity
對ieee ? 4 118節點系統和廣西主網進行的模擬結果表明: l1范數估計具有不良數據拒絕特性,當量測量中存在不良數據時,該演算法在不經檢測和辨識不良數據情況下仍是無偏估計,具有良好收斂性,所需迭代次數隨著問題規模擴大而增長極小;能夠同時估計多個變壓器抽頭,並保持狀態估計主體;在滿足可觀測性條件下,估計的相對誤差保證在0 . 1以內;能夠有效處理等式約束和病態條件,並具有多項式時間性。Chapter 3 is devoted to the study of the convergence theory of a dual algorithm for unconstrained minimax problems. a dual algorithm for solving unconstrained minimax problems, based on the penalty function of bertsekas ( 1982 ), is presented. we prove that there exits a threshold of the penalty parameter satisfying that the sequences generated by the dual algorithm converge locally to the kuhn - tuker point of the unconstrained minimax problems when the penalty parameter is less than the threshold
第3章給出無約束極大極小問題的一個對偶演算法的收斂理論,給出一個基於bertsekas ( 1982 )罰函數的求解無約束極大極小問題的對偶演算法,證明罰參數存在一個閥值,當罰參數小於這一閥值時,該對偶演算法產生的序列局部收斂到問題的kuhn - tuker點,並建立了參數解的誤差估計式,同樣估計了罰函數的hesse陣的條件數,它也依賴于罰參數。Fifth, through statistical analysis of electrical connector accelerated life test data, verified that the reliability statistical model of electrical connector and the reliability statistical method under doof data are both correct. applied the maximum likelihood estimate method with the least squares estimator of test data as preliminary estimate and weighted least square estimate method separate to treat the different kind test data, obtained the estimator of electrical connector reliability characteristic values
第五,採用極大似然估計法和加權最小二乘法對電連接器加速壽命試驗數據進行了統計分析,得到了電連接器可靠性特徵量的估計值,驗證了電連接器可靠性統計模型和doof數據下可靠性分析方法的正確性。3. a new algorithm, recursive robust minmax estimation algorithm with moving time window is given. the principle to obtain the valve value is also given. how to obtain the algorithm parameters is also given
提出了一種具有移動時間窗的魯棒極小極大估計演算法。給出了演算法閥值取值的原則和參數取值的大小。Minimax estimation in scale parameter families as the parameter interval being bounded under squared loss function
平方損失下區間有界的尺度函數極小極大估計Yet temperatures are rising ( about 0. 7 degrees celsius, or roughly 1 degree fahrenheit, since pre - industrial times, with an estimated further 0. 6 degrees from greenhouse gases that have already built up ), glaciers are retreating, sea levels rising, snow cover in the northern hemisphere declining, and the extent of arctic sea ice diminishing
但是全球平均溫度的確在升高(從工業革命前至今,已經上升了攝氏大約0 . 7度,或約略華氏1度,光是從現在已經累積起來的溫室氣體來看,估計還要再上升0 . 6度) ,冰河在後退,海平面上升,北半球的積雪減少,北極區的海冰也大幅縮小。Firstly, we estimate the variance and the mean of each cell with maximum likelihood ; secondly, we identify the important dispersion effects based on least squares analysis of the logarithm of within - replication variance ; last, we identify the important location effects based on weighted least squares analysis of the mean of each cell. a simulation study also demonstrates its superiority over some existing methods. an experiment for the robust design of thermostat is used to illustrate the method
本文對帶有右截尾數據的有重復因子試驗,提出了另一種分析位置效應和散度效應的方法:首先,在每一個試驗點,對重復試驗觀察值用極大似然法估計出均值和方差;其次,用每個試驗點方差估計值的對數作為響應變量與各因子建立回歸模型,鑒別出顯著的散度效應;之後,採用加權最小二乘法鑒別出比較顯著的位置效應。分享友人