• Title/Summary/Keyword: common mean

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Approximation of Common Fixed Points of Mean Non-expansive Mapping in Banach Spaces

  • Gu, Zhaohui;Li, Yongjin
    • Kyungpook Mathematical Journal
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    • v.54 no.1
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    • pp.103-111
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    • 2014
  • Let X be a uniformly convex Banach space, and S, T be pair of mean nonexpansive mappings. Some necessary and sufficient conditions are given for Ishikawa iterative sequence converge to common fixed points, and we prove that the sequence of Ishikawa iterations associated with S and T converges to the common fixed point of S and T. This generalizes former results proved by Z. Gu and Y. Li [4].

Weighted Carlson Mean of Positive Definite Matrices

  • Lee, Hosoo
    • Kyungpook Mathematical Journal
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    • v.53 no.3
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    • pp.479-495
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    • 2013
  • Taking the weighted geometric mean [11] on the cone of positive definite matrix, we propose an iterative mean algorithm involving weighted arithmetic and geometric means of $n$-positive definite matrices which is a weighted version of Carlson mean presented by Lee and Lim [13]. We show that each sequence of the weigthed Carlson iterative mean algorithm has a common limit and the common limit of satisfies weighted multidimensional versions of all properties like permutation symmetry, concavity, monotonicity, homogeneity, congruence invariancy, duality, mean inequalities.

Noninformative priors for the common mean in log-normal distributions

  • Kang, Sang-Gil
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.6
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    • pp.1241-1250
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    • 2011
  • In this paper, we develop noninformative priors for the log-normal distributions when the parameter of interest is the common mean. We developed Jeffreys' prior, th reference priors and the first order matching priors. It turns out that the reference prior and Jeffreys' prior do not satisfy a first order matching criterion, and Jeffreys' pri the reference prior and the first order matching prior are different. Some simulation study is performed and a real example is given.

Influence Analysis of the Common Mean Problem

  • Kim, Myung Geun
    • Communications for Statistical Applications and Methods
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    • v.20 no.3
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    • pp.217-223
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    • 2013
  • Two influence diagnostic methods for the common mean model are proposed. First, an investigation of the influence of observations according to minor perturbations of the common mean model is made by adapting the local influence method which is based on the likelihood displacement. It is well known that the maximum likelihood estimates are in general sensitive to influential observations. Case-deletions can be a candidate for detecting influential observations. However, the maximum likelihood estimators are iteratively computed and therefore case-deletions involve an enormous amount of computations. An approximation by Newton's method to the maximum likelihood estimator obtained after a single observation was deleted can reduce much of computational burden, which will be treated in this work. A numerical example is given for illustration and it shows that the proposed diagnostic methods can be useful tools.

Default Bayesian testing on the common mean of several normal distributions

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.3
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    • pp.605-616
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    • 2012
  • This article deals with the problem of testing on the common mean of several normal populations. We propose Bayesian hypothesis testing procedures for the common normal mean under the noninformative prior. The noninformative prior is usually improper and yields a calibration problem that makes the Bayes factor to be defined u to a multiplicative constant. So we propose the default Bayesian hypothesis testing procedures based on the fractional Bayes factor and the intrinsic Bayes factors under the reference priors. Simulation study and an example are provided.

Minimizing the Weighted Mean Absolute Deviation of Job Completion Times about Two Common Due Dates (두개의 공통납기에 대한 작업완료시간의 W.M.A.D. 최소화에 관한 연구)

  • 오명진;이상도
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.14 no.24
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    • pp.111-121
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    • 1991
  • This paper considers a non preemtive single processor scheduling problem in which each set have the two common due dates. The objective of the problem is to minimize the weighted mean absolute deviation of job completion times about such two common due dates under the assumption that each job has a different weight. Such a job sequence is an W-shaped sequence. We propose three heuristic solution methods based on several dominance conditions. Numerical examples are presented. The performance comparison is made among three heuristic scheduling procedures.

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G system with forced and scheduled outages

  • Jung, Kyung-Hee
    • Journal of the Korean Operations Research and Management Science Society
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    • v.16 no.2
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    • pp.164-176
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    • 1991
  • This paper considers the model of a k-out-of-n :G system with non-identical components which are subject to both forced and planned outages. For the forced outages, it assumes that there are the independent and common-cause outage events causing component failures. Then, the objective is to derive the upper and lower bounds on the mean operating time between system failures in the ample-server model. In addtion, the mean system failure times are also considered.

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Common Sites, Etiology, and Solutions of Persistent Septal Deviation in Revision Septoplasty

  • Jin, Hong Ryul;Kim, Dae Woo;Jung, Hahn Jin
    • Clinical and Experimental Otorhinolaryngology
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    • v.11 no.4
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    • pp.288-292
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    • 2018
  • Objectives. To investigate the common causes of persistent septal deviation in revision septoplasty and to report the surgical techniques and results to correct them. Methods. A total of 100 consecutive patients (86 males) who had revision septoplasty due to persistent septal deviation from 2008 and 2014 were included in the study. Their mean age was 35.6 years and the mean follow-up duration was 9.1 months. Presenting symptoms, sites of persistent septal deviation, techniques used to correct the deviation, and surgical results were reviewed. Results. The mean interval between primary and revision surgery was 6.2 years. Forty-eight patients received revision septoplasty and 52 received revision septoplasty combined with rhinoplasty. Nasal obstruction was the most presenting symptom in almost all patients. The most common site of persistent septal deviation was middle septum (58%) followed by caudal septum (31%). Correcting techniques included further chondrotomy and excision of deviated portion in 76% and caudal batten graft in 39%. Rhinoscopic and endoscopic exams showed straight septum in 97% and 92 patients had subjective symptom improvement postoperatively. Conclusion. Middle septum and caudal septum were common sites of persistent deviation. Proper chondrotomy with excision of deviated middle septum and correction of the caudal deviation with batten graft are key maneuvers to treat persistent deviation.

Effects of Interactive Video on Mind Mapping Skills of Common First Year Students' at Umm Al-Qura University

  • Almalki, Mohammad Eidah Messfer
    • International Journal of Computer Science & Network Security
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    • v.21 no.12spc
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    • pp.365-374
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    • 2021
  • This study set off to explore the effect of interactive videos on developing mind mappings skills required for the common first-joint year students at Umm Al-Qura University. Towards this end, the experimental research design of a quasi-experimental of two experimental groups was adopted. The research tools consisted of an achievement test of the cognitive aspects of mind mapping skills and a product evaluation form of mind mapping skills. Results showed statistically significant differences at the significance level (α 0.05) between the mean scores of the two experimental groups who studied the educational video regardless of the type of video in the pre-post cognitive test of the mind mapping skills and the form of product evaluation. Besides, there are statistically significant differences at the significance level (0.05≥α) between the mean scores of the first experimental group who studied the conventional educational video and the mean scores of the second experimental group who studied the interactive educational video. This significant difference was in the posttest of mind mapping skills and in favor of the group who studied the interactive educational video. Nevertheless, there were no statistically significant differences at the significance level (0.05≥α) between the mean scores of the first and second experimental groups in the post-application of the product evaluation form of mind mapping skills. The researcher recommended using the interactive video in teaching courses to common first-year students. It also recommends organizing courses for the faculty members to train them on using interactive videos in their teaching.

Effects of lethal concentration, hematological parameters and plasma components of common carp, Cyprinus carpio by waterborne acute nitrite exposure (수인성 아질산 급성 노출에 따른 잉어, Cyprinus carpio의 반수치사농도, 혈액학적 성상 및 혈장성분의 영향)

  • So-Won Park;Su-Min An;A-Hyun Jo;Jun-Hwan Kim
    • Journal of fish pathology
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    • v.36 no.2
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    • pp.349-360
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    • 2023
  • Common carp (Cyprinus carpio) (Weight 23.05 ± 6.98 g, Length 12.65 ± 1.38 cm) were exposed to waterborne nitrite at 0, 50, 100, 200, 400 and 800 mg NO2 -/L for 96 hours. The lethal concentration 50 (LC50) of C. carpio exposed to waterborne nitrite was 398.6 mg NO2 -/L. Hemoglobin, hematocrit and RBC count were significantly decreased by waterborne nitrite exposure. The MCV (mean mean corpuscular volume) (µl), MCH (mean corpuscular hemoglobin) (pg) and MCHC (mean corpuscular hemoglobin concentration) (%) were significantly increased. The inorganic component, plasma calcium, was significantly increased, and the organic components such as plasma cholesterol and total protein were significantly increased showing a similar tendency with calcium. In enzymatic components, the AST and ALT were also significantly increased by nitrite exposure. The results of this study indicate that exposure to nitrite can affect the survival and hematological physiology of C. carpio.