A summary of the applications of a weighted average method determining times of solar cycle extrema

Du, Zhanle; Wang, H.N.; He, Hongliang; Zhang, L.; Li, R.; Cui, Yanmei

doi:10.1016/j.asr.2007.06.072

Cited by 6 publications

(3 citation statements)

References 46 publications

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“…Commonly, the mathematical expectation or the arithmetic mean in statistics can be employed to evaluate the true value. And many methods have been developed, such as the maximum-likelihood method [1], the maximum a posteriori estimation [2], the weighted average method [3], and the least-square approximation [4].…”

Section: Introductionmentioning

confidence: 99%

Fusion Method for True Value Estimation Based on Information Poor Theory

Xia¹,

Gao²,

Chen³

2012

JCP

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Poor information means incomplete and insufficient information, such as small sample and unknown distribution. For point estimation under the condition of poor information, the statistical methods relied on large sample sizes and known distributions may become ineffective. For this end, a fusion method is proposed. The fusion method develops five methods, three concepts, and one rule. The five methods include the rolling mean method, the membership function method, the maximum membership grade method, the moving bootstrap method, and the arithmetic mean method. The three concepts comprise the solution set on the estimated true value, the fusion series, and the final estimated true value. The rule is the range rule. The results of the Monte Carlo simulation and of the experimental investigation on information of the quality evaluation for the tapered roller bearing indicate that the fusion method allows the number of the data to be little and the distribution to be unknown, having the reliable estimated result

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Section: Introductionmentioning

confidence: 99%

Fusion Method for True Value Estimation Based on Information Poor Theory

Xia¹,

Gao²,

Chen³

2012

JCP

View full text Add to dashboard Cite

show abstract

“…According to classical statistics, the problem is taken into account to mainly assess the true value of a measurand under the condition of large sample sizes and known probability distributions. Commonly, the mathematical expectation or the arithmetic mean can be employed to evaluate the true value [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Fusion Method for True Value Estimation of Manufacturing Quality under Condition of Poor Information (Part I: Theory)

Xia

Gao

Chen

2010

AMM

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Poor information means incomplete and insufficient information, such as small sample and unknown distribution. For point estimation under the condition of poor information, the statistical methods relied on large samples and known distributions may become ineffective. For this end, a fusion method is proposed. The fusion method develops five methods, three concepts, and one rule. The five methods include the rolling mean method, the membership function method, the maximum membership grade method, the moving bootstrap method, and the arithmetic mean method. The three concepts comprise the solution set on the estimated true value, the fusion series, and the final estimated true value. The rule is the range rule. The method proposed can supply a foundation for the true value estimation of manufacturing quality under the condition of poor information.

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“…Poor information means incomplete and insufficient information, such as, in system analysis, a known probability distribution only with a small sample, an unknown probability distribution only with several data, and trends without any prior knowledge [1][2][3][4][5]. In this paper, the Monte Carlo simulation of the uniform distribution and the experimental investigation on the evaluation for the manufacturing quality parameters of the tapered roller bearing are used to make sure of adaptability of the proposed fusion method.…”

Section: Introductionmentioning

confidence: 99%

Fusion Method for True Value Estimation of Manufacturing Quality under Condition of Poor Information (Part II: Experiment)

Xia

Chen

Gao

2010

AMM

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Based on the fusion method for the true value estimation under the condition of poor information, the experiment is conducted in this paper. The results of simulation of the uniform distribution and experimental investigation on the manufacturing quality evaluation for the tapered roller bearing indicate that the fusion method allows the number of the data little and the distribution unknown, having the reliable estimated result.

show abstract

A summary of the applications of a weighted average method determining times of solar cycle extrema

Cited by 6 publications

References 46 publications

Fusion Method for True Value Estimation Based on Information Poor Theory

Fusion Method for True Value Estimation Based on Information Poor Theory

Fusion Method for True Value Estimation of Manufacturing Quality under Condition of Poor Information (Part I: Theory)

Fusion Method for True Value Estimation of Manufacturing Quality under Condition of Poor Information (Part II: Experiment)

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