• Title/Summary/Keyword: Modified MLE

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Effect of Temperature on Removals of Organic Matter, Nitrogen and Phosphorus in MLE and M-Dephanox Processes (온도가 MLE 및 M-Dephanox 공정의 유기물, 질소 및 인 제거 효율에 미치는 영향)

  • Ryu, Hong-Duck;Lee, Sang-Ill
    • Journal of Korean Society on Water Environment
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    • v.22 no.1
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    • pp.7-16
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    • 2006
  • The present study evaluated effect of temperature on removals of organic matter (C), nitrogen (N) and phosphorus (P) in Modified-Dephanox (M-Dephanox) process, which is hybrid system, comparing with those of Modified-Ludzack Ettinger (MLE) under the suspended-growth bacteria, as control. M-Dephanox process was more stable than MLE process in the removal of C, N, P, especially in nitrification, as the temperature was decreased from $25^{\circ}C$ to $16^{\circ}C$. As the temperature was decreased from $25^{\circ}C$ to $16^{\circ}C$, the removal efficiency of $NH_4{^+}-N$ of M-Dephanox process was decreased by 3.8%, but that of MLE process decreased by 25.7%. T-N removal efficiency of M-Dephanox was higher than MLE process by 27.1% and 26.9% at $25^{\circ}C$ and $16^{\circ}C$ of temperature, respectively.

Estimations in a Generalized Uniform Distribution

  • Lee, Chang-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.11 no.2
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    • pp.319-325
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    • 2000
  • In this paper, we shall derive MLE's, modified MLE, MRE and UMVUE's of the shape and scale parameters in a generalized uniform distribution, and propose several estimators for the right-tail probability in a generalized uniform distribution using the proposed estimators for the shape and scale parameters. And we shall compare exactly MSE of the proposed estimators for the shape and the scale parameters, and compare numerically efficiencies for the several proposed estimators of the right-tail probability in a generalized uniform distribution by Monte Caslo methods.

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MLE for Incomplete Contingency Tables with Lagrangian Multiplier

  • Kang, Shin-Soo
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.3
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    • pp.919-925
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    • 2006
  • Maximum likelihood estimate(MLE) is obtained from the partial log-likelihood function for the cell probabilities of two way incomplete contingency tables proposed by Chen and Fienberg(1974). The partial log-likelihood function is modified by adding lagrangian multiplier that constraints can be incorporated with. Variances of MLE estimators of population proportions are derived from the matrix of second derivatives of the loglikelihood with respect to cell probabilities. Simulation results, when data are missing at random, reveal that Complete-case(CC) analysis produces biased estimates of joint probabilities under MAR and less efficient than either MLE or MI. MLE and MI provides consistent results under either the MAR situation. MLE provides more efficient estimates of population proportions than either multiple imputation(MI) based on data augmentation or complete case analysis. The standard errors of MLE from the proposed method using lagrangian multiplier are valid and have less variation than the standard errors from MI and CC.

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Comparison of Removal Characteristics of Organic Matter, Nitrogen and Phosphorus in Suspended-Growth and Hybrid Processes with Hydraulic Retention Time (수리학적 체류시간에 따른 부유성장 미생물을 이용한 공정과 하이브리드 공정의 유기물, 질소 및 인 제거 특성 비교)

  • Ryu, Hong-Duck;Lee, Sang-Ill
    • Journal of Korean Society of Environmental Engineers
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    • v.28 no.1
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    • pp.15-25
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    • 2006
  • This study was initiated to evaluate the effect of HRT(hydraulic retention time) on removal efficiencies of organic matter (C), nitrogen(N) and phosphorus(P) in municipal wastewater for suspenced-growth processes(MLE; Modified Ludzack-Ettinger) and hybrid process(Modified-Dephanox). M-Dephanox process was designed to improve the performance of Dephanox process on denitrification efficiency. As the results, removal efficiencies of C, N and P in M-Dephanox process, which is hybrid process, were higher than those in MLE, which is suspended-growth process. Especially, nitrification inhibition of MLE was observed more severely than M-Dephanox as hydraulic retention time was reduced from 6 hr to 3.5 hr. Nitrification in nitrification reactors on M-Dephanox, at short HRT, was so excellent that ammonia nitrogen removal efficiency in nitrification reactors of M-Dephanox was about 92% at 1.59 hr of HRT of nitrification reactors, however, nitrification in nitrification reactors on M-Dephanox was affected severely by organic matter entering to nitrification reactors from downstream settler. It was observed that reducing of HRT in whole process resulted from reducing of HRT in nitrification reactors on M-Dephanox.

Comparison of Removal Characteristics of Organic Matter, Nitrogen and Phosphorus Between Suspended-Growth and Attached-Growth Biological Processes (부유 및 부착성장 미생물을 이용하는 공정의 유기물, 질소 및 인 제거 특성 비교)

  • Ryu, Hong-Duck;Lee, Sang-Ill
    • Journal of Korean Society of Environmental Engineers
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    • v.27 no.2
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    • pp.206-214
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    • 2005
  • This study was initiated to evaluate efficiencies of suspenced-growth processes(CAS; Conventional Activated Sludge, MLE; Modified Ludzack-Ettinger) and hybrid process(Modified-Dephanox) on removal of organic matter(C), nitrogen(N) and phosphorus(P) in municipal wastewater. M-Dephanox process was designed to improve the performance of Dephanox process on denitrification efficiency. As the results, removal efficiencies of total chemical oxygen demand(TCOD), total nitrogen(T-N) and total phosphorus(T-P) in M-Dephanox process, which is hybrid process, were 12,3, 18.6 and 28.2% higher than those in MLE, which is suspended-growth process. The better removal efficiencies of TCOD, T-N and T-P in M-Dephanox than those in MLE result that M-Dephanox is not only hybrid or multi-sludge process but also process using biosorption mechanism which is possible to use organics in denitrification, effectively. Ammonia removal efficiency in nitrification reactor of M-Dephanox was 96.7% at short hydraulic retention time(HRT) of 2 hr which was 3 hr more short HRT than that(HRT 5 hr) reported in other related papers. This indicates that M-Dephanox process can reduce HRT of whole process.

Nitrogen Removal Characteristics of Swine Wastewater when treating by MLE Process (MLE 공정을 이용한 양돈폐수의 질소 제거 특성)

  • Park, Seung Kyun;Park, Hyun Su;Lee, Ki Gong;Chung, Yoon Jin
    • Journal of Korean Society of Water and Wastewater
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    • v.14 no.2
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    • pp.147-156
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    • 2000
  • In this study, the optimal operation parameters of MLE(Modified Ludzack-Ettinger) process treating the liquid supernatant separated from the slurry excreta of swine feedlot was studied as a promising biological treatment process. The nitrogen removal characteristics with different volume ratio between nitrification and denitrification reactor and the operational effect with different nitrogen loading rate, and different C/N($COD_{Cr}/TKN$) ratio were investigated. Based on the laboratory results, pilot MLE plant was operated to examine the effect of ambient temperature for five months including winter. The denitrification reactor which is 20% of total volume was proposed as the most optimal volume fraction for nitrification and denitrification. The optimum ratios of F/M and $F_N/M$ were increased with increase of the C/N ratio. However, optimum F/M ratio was changed more rapidly than $F_N/M$ ratio with increase of the C/N ratio. Therefore, MLE process is desirable to be controlled by F/M ratio in the range of high C/N ratio and by $F_N/M$ ratio in the range of low C/N ratio. Pilot MLE plant showed the higher removal efficiencies of COD and TKN in winter than in summer and was operated most stably at the temperature of $20{\sim}25^{\circ}C$ for mixed liqour.

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Parameter Estimation of Linear-FM with Modified sMLE for Radar Signal Active Cancelation Application

  • Choi, Seungkyu;Lee, Chungyong
    • IEIE Transactions on Smart Processing and Computing
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    • v.3 no.6
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    • pp.372-381
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    • 2014
  • This study examined a radar signal active cancelation technique, which is a theoretical way of achieving stealth by employing a baseband process that involves sampling the incoming hostile radar signal, analyzing its characteristics, and generating countermeasure signals to cancel out the linear-FM signal of the hostile radar signal reflected from the airborne target. To successfully perform an active cancelation, the effects of errors in the countermeasure signal were first analyzed. To generate the countermeasure signal that requires very fast and accurate processing, the down-sampling technique with the suboptimal maximum likelihood estimation (sMLE) scheme was proposed to improve the speed of the estimation process while preserving the estimation accuracy. The simulation results showed that the proposed down-sampling technique using a 2048 FFT size yields substantial power reduction despite its small FFT size and exhibits similar performance to the sMLE scheme using the 32768 FFT size.

Higber Order Expansions of the Cumulants and the Modified Normalizing Process of Multi-dimensional Maximum Likelihood Estimator

  • Jonghwa Na
    • Communications for Statistical Applications and Methods
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    • v.6 no.1
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    • pp.305-318
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    • 1999
  • In this paper we derive the higher order expansions of the first four cumulants of multi-dimensional Maximum Likelihood Estimator (MLE) under the general parametric model up to and including terms of order O({{{{ {n }^{-1 } }}}}) Also we obtain the explicit form of the expansion of the normalizing trans formation of multi-dimensional MLE and show that the suggested normalizing process is much better than the normal approximation based on central limit theorem through example.

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Parametric Estimations for Parameter Changes in the Exponential Distribution

  • Lee, Chang-Soo;Moon, Yeung-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.1
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    • pp.107-114
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    • 2005
  • We shall consider parametric estimations for the scale parameter in the exponential distribution when the parameter is function of a known exposure level, and obtain expectations and variances for their proposed estimators. And we shall compare numerically efficiencies for proposed estimators of the scale parameter in the small sample sizes.

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Approximate Confidence Limits for the Ratio of Two Binomial Variates with Unequal Sample Sizes

  • Cho, Hokwon
    • Communications for Statistical Applications and Methods
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    • v.20 no.5
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    • pp.347-356
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    • 2013
  • We propose a sequential method to construct approximate confidence limits for the ratio of two independent sequences of binomial variates with unequal sample sizes. Due to the nonexistence of an unbiased estimator for the ratio, we develop the procedure based on a modified maximum likelihood estimator (MLE). We generalize the results of Cho and Govindarajulu (2008) by defining the sample-ratio when sample sizes are not equal. In addition, we investigate the large-sample properties of the proposed estimator and its finite sample behavior through numerical studies, and we make comparisons from the sample information view points.