• Title/Summary/Keyword: p-th moment

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Tutorial: Dimension reduction in regression with a notion of sufficiency

  • Yoo, Jae Keun
    • Communications for Statistical Applications and Methods
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    • v.23 no.2
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    • pp.93-103
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    • 2016
  • In the paper, we discuss dimension reduction of predictors ${\mathbf{X}}{\in}{{\mathbb{R}}^p}$ in a regression of $Y{\mid}{\mathbf{X}}$ with a notion of sufficiency that is called sufficient dimension reduction. In sufficient dimension reduction, the original predictors ${\mathbf{X}}$ are replaced by its lower-dimensional linear projection without loss of information on selected aspects of the conditional distribution. Depending on the aspects, the central subspace, the central mean subspace and the central $k^{th}$-moment subspace are defined and investigated as primary interests. Then the relationships among the three subspaces and the changes in the three subspaces for non-singular transformation of ${\mathbf{X}}$ are studied. We discuss the two conditions to guarantee the existence of the three subspaces that constrain the marginal distribution of ${\mathbf{X}}$ and the conditional distribution of $Y{\mid}{\mathbf{X}}$. A general approach to estimate them is also introduced along with an explanation for conditions commonly assumed in most sufficient dimension reduction methodologies.

UNIFORM Lp-CONTINUITY OF THE SOLUTION OF STOCHASTIC DIFFERENTIAL EQUATIONS

  • Kim, Young-Ho
    • Journal of applied mathematics & informatics
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    • v.31 no.3_4
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    • pp.491-498
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    • 2013
  • This note is concerned with the uniform $L^p$-continuity of solution for the stochastic differential equations under Lipschitz condition and linear growth condition. Furthermore, uniform $L^p$-continuity of the solution for the stochastic functional differential equation is given.

CHARACTERIZATION OF SOME CONTINUOUS DISTRIBUTIONS BY PROPERTIES OF PARTIAL MOMENTS

  • Abraham, B.;Nair, N. Unnikrishnan;Sankaran, P.G.
    • Journal of the Korean Statistical Society
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    • v.36 no.3
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    • pp.357-365
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    • 2007
  • In this paper we present characterizations of the Pareto, Lomax, exponential and beta models by some properties of their $r^{th}$ partial moment defined as ${\alpha}_r(t)=E[(X-t)^+]^r$, where $(X-t)^+ = max(X-t,0)$. Given the partial moments at a few truncation points, these results enable us to calculate the moments at many other points.

Synthesis and Characterization of Homobinuclear Complexes of UO2(VI), ZrO(IV) and Th(IV) ions with 3-Benzylidine/Furfurylidine/(Pyridyl/Thienyl-2'-methylene) imino-5-p-sulphonamido phenyl azo-2-thiohydantoins (3-Benzylidine/Furfurylidine/(Pyridyl/Thienyl-2'-methylene) imino-5-p-sulphonamido phenyl azo-2-thiohydantoins와 UO2(VI), ZrO(IV) 및 Th(IV) 이온의 동종이핵 착물에 대한 합성 및 특성)

  • Dash, D.C.;Mahapatra, A.;Naik, P.;Mohapatra, R.K.;Naik, S.K.
    • Journal of the Korean Chemical Society
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    • v.55 no.3
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    • pp.412-417
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    • 2011
  • A series of homobinuclear complexes of the type [$M_2L(NO_3)_n(H_2O)_m$] where M=$UO_2$(VI), ZrO(IV), Th(IV); L=3-benzylidine-imino-5-p-sulphonamido phenyl azo-2-thiohyatoin(bispt), 3-furfurylidine-imino-5-p-sulphonamido phenyl azo-2-thiohydantoin(fispt),3-pyridyl-2'-methylene-imino-5-p-sulphonamido phenyl azo-2-thiohydantoin(pmispt) and 3-thienyl-2'-methylene-imino-5-p-sulphoanamido phenyl azo-2-thiohydantoin(tmispt); n=8 for Th(IV) and 4 for others, m=4 for bispt and 3 for others have been synthesized and characterized on the basis of elemental analysis, thermal analysis, molar conductance, magnetic moment and spectroscopic data (IR, electronic and $^1H$-NMR). In the light of this information, the ligands can be visualized as tetradentate co-ordinating through azomethine nitrogen, carbonyl oxygen to one metal centre where as azo nitrogen and thioimido nitrogen to the other metal centre yielding homo binuclear complexes of the above composition. The fungi toxicity of the ligands & their zirconyl complexes against some fungal pathogen has been studied.

The Influence of AIDS Health Education upon Elementary School Students' Knowledge and Attitudes toward AIDS (에이즈 보건교육이 초등학생의 에이즈에 관한 지식과 태도에 미치는 효과)

  • Bae, Seon-Mi;Cho, Kyoul-Ja
    • Journal of the Korean Society of School Health
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    • v.15 no.2
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    • pp.193-203
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    • 2002
  • This study examined changes of elementary school students' knowledge and attitudes toward AIDS after AIDS health educational programs were conducted. The experiment was executed from November the 28th, 2001 to February the 6th, 2002. Study examinees were 156 fifth year students of 2 elementary schools located at S City. A preliminary inspection was implemented. The post-examination was conducted by a questionnaire survey 2 weeks and 9 weeks after the program was finished. The measurement instrument was the questionnaire developed by Yun, Hyun Sik(1997) and modified by this researcher. Collected data were analyzed with SPSS program package, $x^2$-test and t-test, Repeated Measure ANOVA. Findings of study are as follows; 1. Hypothesis 1 ; the hypothesis 1 is "The points of AIDS knowledge are different at each moment, before conducting the educational program, 2 weeks after conducting the educational program, and 9 weeks after conducting the educational program". After the above hypothesis was examined, interactive actions were shown among different periods in both groups (F=267.241, p=.000), so that this hypothesis 1 was approved. 2. Hypothesis 2 ; the hypothesis 2 is "The points of attitudes toward AIDS are different at each moment, before conducting the educational program, 2 weeks after conducting the educational program, and 9 weeks after conducting the educational program". It was closely examined, and the findings are that significant differences between two groups were found, whereas any interactions were not shown between two groups(F=3.753, p=.055), after controlling the attitude scores that showed differences before the education by covariable, and examining the results. so that this hypothesis 2 was rejected. The above study tells that the AIDS health education for elementary school students made their knowledge and attitudes change significantly, but the education was not effective for changing students' attitudes. Elementary school students need more systematic and continual AIDS health education.

Analysis of Hand Hygiene Practices of Health Care Personnels (의료기관 종사자의 손 위생 수행 분석)

  • Oh, Hyang Soon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.9
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    • pp.6160-6168
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    • 2015
  • Hand hygiene(HH)of the health care personnels(HCPs) was the most effective method to prevent the transmission of healthcare associated infections. This study was conducted to measure and analysis the status of the HH compliance of HCPs. Data were collected by the direct observation methods of the World Health Organizations(WHO) using WHO's HH monitoring tool kits from 25th October to 31th December, 2010. Data were analyzed by descriptive statistics, cross analysis, multiple logistic analysis using the SPSS/PC 21 program. A total of 8,644 opportunities for HH were observed, and the overall HH compliance rate was 94.1%. HH rates of physicians was lowest(83.4%; OR: 0.209, 95%CI:0.174-0.252). HH rates were statistically different by the job titles(p<0.001), WHO's 5 moments(p<0.001). HH rates in registered nurses(p=0.003), and medical technicians(p<0.001) were statistically different by the WHO 5Moments. Jobs specific HH strategies and WHO 5Moments should be developed to increase the HH compliances of the HCPs.

A first-principles theoretical investigation of the structural, electronic and magnetic properties of cubic thorium carbonitrides ThCxN(1-x)

  • Siddique, Muhammad;Rahman, Amin Ur;Iqbal, Azmat;Azam, Sikander
    • Nuclear Engineering and Technology
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    • v.51 no.5
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    • pp.1373-1380
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    • 2019
  • Besides promising implications as fertile nuclear materials, thorium carbonitrides are of great interest owing to their peculiar physical and chemical properties, such as high density, high melting point, good thermal conductivity. This paper reports first-principles simulation results on the structural, electronic and magnetic properties of cubic thorium carbonitrides $ThC_xN_{(1-x)}$ (X = 0.03125, 0.0625, 0.09375, 0.125, 0.15625) employing formalism of density-functional-theory. For the simulation of physical properties, we incorporated full-potential linearized augmented plane-wave (FPLAPW) method while the exchange-correlation potential terms in Kohn-Sham Equation (KSE) are treated within Generalized-Gradient-Approximation (GGA) in conjunction with Perdew-Bruke-Ernzerhof (PBE) correction. The structural parameters were calculated by fitting total energy into the Murnaghan's equation of state. The lattice constants, bulk moduli, total energy, electronic band structure and spin magnetic moments of the compounds show dependence on the C/N concentration ratio. The electronic and magnetic properties have revealed non-magnetic but metallic character of the compounds. The main contribution to density of states at the Fermi level stems from the comparable spectral intensity of Th (6d+5f) and (C+N) 2p states. In comparison with spin magnetic moments of ThSb and ThBi calculated earlier with LDA+U approach, we observed an enhancement in the spin magnetic moments after carbon-doping into ThN monopnictide.

A study on legal improvement on Online P2P financial loan

  • Park, Jong-Ryeol;Noe, Sang-Ouk
    • Journal of the Korea Society of Computer and Information
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    • v.22 no.6
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    • pp.141-147
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    • 2017
  • Along with the recent growth of Fintech industry and low interest rate basis, one of the alternative investment technique for expecting higher investment profit, P2P loan using P2P financial system is greatly increasing. P2P loan can be referred to as a type of Crowdfunding that the law of Crowdfunding (adopted to revised Capital Market Act) enacted on January 25th 2016 only allows investment type Crowdfunding so that it can be used as a tool of raising fund for startup and venture companies. Also, it is true that Korean government could not make any legislative foundation related to P2P loan. At this moment, those online platform companies mediating P2P loan are not included as financial companies, expected to cause various legal arguments. Financial Services Commission has released a guideline in February of this year saying that limit of P2P loan is 10 million Korean Won per arbitrating company and 5 million Korean Won per borrower. However, what is more important is to make a law supporting this institutional system. If legislation on P2P loan is implemented without care, it may disturb growth of the field but it may result in the damage of investors if not clearly defined by law. As this is the case, first, "revision of execution regulations for loan business" should take place as soon as possible to intensify inspection of loan companies by registering them to Financial Services Commission. Second, saving customer fund separately in the their organization. Third, making law on protecting investors such as regulating exaggerative advertisement. Fourth, to have transparent and fair public announcement system, standardized agreement and guideline describing clear understanding on autonomous public information publication of P2P loan online platform business and information on the borrower.

Synthesis and Characterization of Homo Binuclear Macrocyclic Complexes of UO2(VI), Th(IV), ZrO(IV) and VO(IV) with Schiff-Bases Derived from Ethylene diamine/Orthophenylene Diamine, Benzilmonohydrazone and Acetyl Acetone

  • Mohapatra, R.K.;Ghosh, S.;Naik, P.;Mishra, S.K.;Mahapatra, A.;Dash, D.C.
    • Journal of the Korean Chemical Society
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    • v.56 no.1
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    • pp.62-67
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    • 2012
  • A series of homo binuclear complexs of the type $[M_2(L/L^')(NO_3)n].mH_2O$, [where $M=U{O_2}^{2+},\;Th^{4+},\;ZrO^{2+}$] and $[(VO)_2(L/L^')(SO_4)_2]{\cdot}2H_2O$, L=1,5,6,9,12,15,16,20 octaaza-7,813,14-tetraphenyl-2,4,17,19-tetramethyl-1,4,6,8,12,14,16,19-docosaoctene (OTTDO) or L'=10:11;21:22-dibenzo-1,5,6,9,12,15,16,20-octaaza-7,813,14-tetraphenyl-2,4,17,19-tetramethyl-1,4,6,8,12,14,16,19-docosaoctene (DOTTOT), n=4 for $U{O_2}^{2+}$, $ZrO^{2+}$ n=8 for $Th^{4+}$ m=1,2,3 respectively, have been synthesized in template method from ethylenediamine/orthophenylene diamine, benzil monohydrazone and acetyl acetone and characterized on the basis of elemental analysis, thermal analysis, molar conductivity, magnetic moment, electronic, infrared, $^1H$-NMR studies. The results indicate that the VO(IV) ion is penta co-ordinated yielding paramagnetic complexes; $UO_2(VI)$, ZrO(IV) ions are hexa co-ordinated where as Th(IV) ion is octa co-ordinated yielding diamagnetic complexes of above composition. The fungi toxicity of the ZrO(IV) and VO(IV) complexes against some fungal pathogen has been studied.

Experimental and analytical study on flexural behaviour of fly ash and paper sludge ash based geopolymer concrete

  • Senthamilselvi, P.;Palanisamy, T.
    • Computers and Concrete
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    • v.21 no.2
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    • pp.157-166
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    • 2018
  • This article presents the flexural behaviour of reinforced fly ash (FA)-based geopolymer concrete (GPC) beams with partial replacement of FA for about 10% by weight with paper sludge ash (PSA). The beams were made of M35 grade concrete and cured under three curing conditions for comparison viz., ambient curing, external exposure curing, and oven curing at $60^{\circ}C$. The beams were experimentally tested at the 28th day of casting after curing by conducting two-point loading flexural test. Performance aspects such as load carrying capacity, first crack load, load-deflection and moment-curvature behaviours of both types of beams were experimentally studied and their results were compared under different curing conditions. To verify the response of reinforced GPC beams numerically, an ANSYS 13.0 finite element program was also used. The result shows that there is a good agreement between computer model failure behaviour with the experimental failure behaviour.