• Title/Summary/Keyword: I-function

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Bayesian and maximum likelihood estimation of entropy of the inverse Weibull distribution under generalized type I progressive hybrid censoring

  • Lee, Kyeongjun
    • Communications for Statistical Applications and Methods
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    • v.27 no.4
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    • pp.469-486
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    • 2020
  • Entropy is an important term in statistical mechanics that was originally defined in the second law of thermodynamics. In this paper, we consider the maximum likelihood estimation (MLE), maximum product spacings estimation (MPSE) and Bayesian estimation of the entropy of an inverse Weibull distribution (InW) under a generalized type I progressive hybrid censoring scheme (GePH). The MLE and MPSE of the entropy cannot be obtained in closed form; therefore, we propose using the Newton-Raphson algorithm to solve it. Further, the Bayesian estimators for the entropy of InW based on squared error loss function (SqL), precautionary loss function (PrL), general entropy loss function (GeL) and linex loss function (LiL) are derived. In addition, we derive the Lindley's approximate method (LiA) of the Bayesian estimates. Monte Carlo simulations are conducted to compare the results among MLE, MPSE, and Bayesian estimators. A real data set based on the GePH is also analyzed for illustrative purposes.

Dimeric Silver(I) Complex: Bis(dipropyldithiophosphato) bis(1,10-phenanthroline) Disilver(I); Dimeric Silver(I) Complex: Bis(dipropyldithiophosphato) bis(1,10-phenanthroline) Disilver(I);Ag2[Phen]2[S2P(OPr)2]2 (은(I)화합물:비스(디프로필디싸이오포스페이토)비스(1,10-펜안트로린)이온(I);Ag2[Phen]2[S2P(OPr)2]2)

  • Fang Fang Jian;Hai Lian Xiao;Huan Xiang Wang;Kui Jiao
    • Journal of the Korean Chemical Society
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    • v.47 no.1
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    • pp.26-30
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    • 2003
  • The dinuclear $Ag_2[Phen]_2[S_2P(OPr)_2]_2$(phen=1,10-phenanthroline; Pr=propyl), was prepared by the reaction of bis(dipropyldithiophosphato) silver(I) complex with 1,10-phenanthroline ligand, and its structure was determined by X-ray crystallography. The two dipropyldithiophosphato ligands each bridge two silver atoms to form an eight-membered $Ag_2S_4P_2$ ring, while the 1,10-phenanthroline molecule coordinates to a silver atom to complete the local tetrahedral geometry for the metal ion. The Ag-S bond distances are 2.559(1) and 2.567(1)${\AA}$, and the Ag-N bond distances are 2.366(3) and 2.471(3)${\AA}$.

Modified HAZUS Method for Seismic Fragility Assessment of Domestic PSC-I Girder Bridges (PSC-I 거더교의 지진취약도 평가를 위한 HAZUS 방법의 국내 적용성 연구)

  • Seo, Hyeong-Yeol;Yi, Jin-Hak;Kim, Doo-Kie;Song, Jong-Keol
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.14 no.2
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    • pp.161-170
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    • 2010
  • To reduce the amount of seismic damage, several design codes are being improved considering the earthquake resistant systems, and many researches are being conducted to develop the earthquake damage evaluation techniques. This study develops the Korean seismic fragility function using the modified HAZUS method applicable to PSC-I girder bridges in Korea. The major coefficients are modified considering the difference between the seismic design levels of America and Korea. Seismic fragility function of the PSC-I girder bridge (one of the standard bridge types in Korea) is evaluated using two methods: numerical analysis and modified HAZUS method. The main coefficients are obtained about 70% of the proposed values in HAZUS. It is found that the seismic fragility function obtained using the modified HAZUS method closes to the fragility function obtained by conventional numerical analysis method.

Computer-Aided Cognitive Rehabilitation of Stroke Patients in Cognitive Function and Research on the Ability to Their Daily Living

  • Park, Seung-Kyu;Yang, Dae-Jung;Kang, Jeong-Il;Kim, Je-Ho;Jeong, Dong-jin
    • The Journal of Korean Physical Therapy
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    • v.27 no.5
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    • pp.375-380
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    • 2015
  • Purpose: The purpose of this study was to evaluate the impact of differences in computer-aided cognitive rehabilitation aimed at stroke patients on cognitive function and daily life. Methods: The study subjects were Gwangju, Jeonnam including the attention group (group I), memory group (group II), and visual perception group (group III), who were randomly placed in each of a 10 by one problem solving group (group IV). The PSSCogRehab was applied to all subjects who underwent eight weeks once a week after 20 minutes in each group by strengthening mediation 10 minutes 30 minutes total, with a five minute break in the middle. Results: Cognitive function and activities of daily living is security and inter-group differences before intervention, and post-test results in the memory training group II, the intervention group I, III, IV and more on cognitive function and activities of daily living compared to it was effective. Conclusion: The results of computer-aided cognitive rehabilitation measuring cognitive function and ADL in patients with stroke in accordance with the group I, III, and IV group cognitive function and activities of daily living compared to IV showed that it was more effective.

Distribution of the Estimator for Peak of a Regression Function Using the Concomitants of Extreme Oder Statistics

  • Kim, S.H;Kim, T.S.
    • Communications for Statistical Applications and Methods
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    • v.5 no.3
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    • pp.855-868
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    • 1998
  • For a random sample of size n from general linear model, $Y_i= heta(X_i)+varepsilon_i,;let Y_{in}$ denote the ith oder statistics of the Y sample values. The X-value associated with $Y_{in}$ is denoted by $X_{[in]}$ and is called the concomitant of ith order statistics. The estimator of the location of a maximum of a regression function, $ heta$($\chi$), was proposed by (equation omitted) and was found the convergence rate of it under certain weak assumptions on $ heta$. We will discuss the asymptotic distributions of both $ heta(X_{〔n-r+1〕}$) and (equation omitted) when r is fixed as nolongrightarrow$\infty$(i.e. extreme case) on the basis of the theorem of the concomitants of order statistics. And the will investigate the asymptotic behavior of Max{$\theta$( $X_{〔n-r+1:n〕/}$ ), . , $\theta$( $X_{〔n:n〕}$)}as an estimator for the peak of a regression function.

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How can Korean -i/ka express exhaustivity?

  • Kim, Ilkyu
    • Language and Information
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    • v.19 no.2
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    • pp.37-53
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    • 2015
  • It has been widely accepted that Korean -i/ka, known as the nominative marker, can give rise to exhaustivity effect. However, it has been rarely discussed and still remains unclear how and why the particle can convey exhaustivity. The purpose of this paper is to shed light on this issue, based on Kim's (2014) analysis of the function of -i/ka. The main claim is that the exhaustivity expressed by -i/ka is a pragmatic effect derived from the interaction of the function of -i/ka, namely, unique specification, and the existence of alternatives to the denotation of an -i/ka-marked phrase in discourse context. Thus, the nature of the exhaustive implicature induced by -i/ka is not conventional but conversational.

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Comparison of Reconstruction Methods after Distal Gsstrectomy for Gastric Carcinoma in Terms of the Long Term Physiologic Function and Nutritional Status; Billroth I Gastroduodenostomy versus Roux-en Y Gastrojejunostomy (수술 후 장기적인 생리적 기능과 영양적 측면에서 본 원위부위절제술 후 재건술식의 비교; Billroth I 위십이지장문합술과 Roux-en Y 위공장문합술의 비교)

  • Jeong, Oh;Oh, Sung-Tae;Yuk, Jung-Hwan;Choi, Ji-Eun;Kim, Kab-Jung;Lim, Jung-Taek;Park, Gun-Chun;Kim, Byung-Sik
    • Journal of Gastric Cancer
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    • v.7 no.2
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    • pp.88-96
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    • 2007
  • Purpose: The only curative treatment for gastric carcinoma is surgery and it is still under debate which reconstruction method is better after performing gastrectomy for gastric carcinoma. The typical reconstruction methods after distal gastrectomy are Billroth I, Billroth II and Roux-en Y reconstruction. Yet it is difficult to compare these methods and not so much is known about which reconstruction is better in terms of the physiologic and nutritional function. With this background, we compared two reconstruction methods after distal gastrectomy (Billroth I versus Roux-en Y reconstruction) in terms of the long term physiologic function and nutritional status to create a reference for selecting reconstruction methods after distal gastrectomy. Materials and Methods: Between 1999 and 2002, 663 patients who underwent distal gastrectomy for early gastric carcinoma filled out questionnaires every six months after operation, and these questionnaires evaluated the physiologic function. To evaluate their nutritional status, blood tests were performed every six months to check their albumin, protein and hemoglobin levels, and we checked the body weight every 6 months as well. Results: The total score of the 15 questions on the questionnaire concerned with the physiologic function showed no difference between the two groups at every evaluation time, and both groups showed very low total scores, indicating tolerable physiologic function after operation. When comparing each question between two the groups, only symptoms of regurgitation and food passage showed a difference between the two groups, showing that the Roux-en Y group had better function in terms of these two symptoms. The Billroth I group showed a better nutrition status, indicating that the level of albumin, protein and hemoglobin were higher in the Billroth I group, with statistical significance. Body weight loss was severe in the Roux-en Y group. Conclusion: The physiologic function is slightly better in the Roux-en Y group in terms of some symptoms such as regurgitation and food passage. However, the nutritional status is better in the Billroth I group. In conclusion, because we cannot definitely ascertain which reconstruction is better when we consider both the physiologic and nutritional functions, it is reasonable that surgeon should choose reconstruction methods according to their experience and preference.

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