• Title/Summary/Keyword: power-mean inequality

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A Moment Inequality for Exponential Better (Worse) Than Used EBU (EWU) Life Distributions with Hypothensis Testing Application

  • Abu-Youssef, S.E.
    • International Journal of Reliability and Applications
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    • v.5 no.4
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    • pp.105-113
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    • 2004
  • The exponential better (worse) than used EBU (EWU) class of life distributions is considered. A moment inequality is derived for EBU (EWU) distributions which demonstrate that if the mean life is finite, then all moments exist. Based on this inequality, a new test statistic for testing exponentiality against EBU (EWU) is introduced. It is shown that the proposed test is simple, enjoys good power and has high relative efficiency for some commonly used alternatives. Critical values are tabulated for sample sizes n = 5(1)40. A set of real data is used as a practical application of the proposed test in the medical science.

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NEW QUANTUM VARIANTS OF SIMPSON-NEWTON TYPE INEQUALITIES VIA (α, m)-CONVEXITY

  • Saad Ihsan Butt;Qurat Ul Ain;Huseyin Budak
    • Korean Journal of Mathematics
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    • v.31 no.2
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    • pp.161-180
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    • 2023
  • In this article, we will utilize (α, m)-convexity to create a new form of Simpson-Newton inequalities in quantum calculus by using q𝝔1-integral and q𝝔1-derivative. Newly discovered inequalities can be transformed into quantum Newton and quantum Simpson for generalized convexity. Additionally, this article demonstrates how some recently created inequalities are simply the extensions of some previously existing inequalities. The main findings are generalizations of numerous results that already exist in the literature, and some fundamental inequalities, such as Hölder's and Power mean, have been used to acquire new bounds.

An Improved Mean-Variance Optimization for Nonconvex Economic Dispatch Problems

  • Kim, Min Jeong;Song, Hyoung-Yong;Park, Jong-Bae;Roh, Jae-Hyung;Lee, Sang Un;Son, Sung-Yong
    • Journal of Electrical Engineering and Technology
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    • v.8 no.1
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    • pp.80-89
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    • 2013
  • This paper presents an efficient approach for solving economic dispatch (ED) problems with nonconvex cost functions using a 'Mean-Variance Optimization (MVO)' algorithm with Kuhn-Tucker condition and swap process. The aim of the ED problem, one of the most important activities in power system operation and planning, is to determine the optimal combination of power outputs of all generating units so as to meet the required load demand at minimum operating cost while satisfying system equality and inequality constraints. This paper applies Kuhn-Tucker condition and swap process to a MVO algorithm to improve a global minimum searching capability. The proposed MVO is applied to three different nonconvex ED problems with valve-point effects, prohibited operating zones, transmission network losses, and multi-fuels with valve-point effects. Additionally, it is applied to the large-scale power system of Korea. The results are compared with those of the state-of-the-art methods as well.

NOTE ON NEWTON-TYPE INEQUALITIES INVOLVING TEMPERED FRACTIONAL INTEGRALS

  • Fatih Hezenci;Huseyin Budak
    • Korean Journal of Mathematics
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    • v.32 no.2
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    • pp.349-364
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    • 2024
  • We propose a new method of investigation of an integral equality associated with tempered fractional integrals. In addition to this, several Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established identity. Moreover, we establish some Newton-type inequalities with the help of Hölder and power-mean inequality. Furthermore, several new results are presented by using special choices of obtained inequalities.

A Study of the Attitude and Experience for Sexual Harassment in Adolescence (남녀 고등학생의 성희롱에 대한 태도 및 경험에 관한 조사연구)

  • Chung, Eui-Nam;Park, Shin-Ae
    • Research in Community and Public Health Nursing
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    • v.11 no.2
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    • pp.538-555
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    • 2000
  • The purpose of this study, in which 573 students from 2 high schools in Kang Nung city participated was to identify the attitude and experience of sexual harassment. This information will provide useful data, and promote a more systematic sexual harassment education program. The subjects of this study were 278 male students and 295 female students. The data was collected from September 25 to October 6. 2000. The data was analyzed using the statistical Computer package. SPSS to manipulate the data along with frequency, percentage, and mean t-test. The results from this study were summarized as follows. 1. The results from this comparison between two groups were significant in their attitude on sexual harassment(t=-2.26. p=0.024). Female students had higher scores than male students. 2. As a cause of sexual harassment. 'A man's misjudgement regarding a women as sexual objects(n=130: 22.7%)'. 'Patriarchal system of unequal distribution of power and status between the sexes(n=105: 18.3%)'. 'The effect of sexual stimulatives. (pornography. pornovideo. TV program ect.)(n=89: 15.5%)'. 3. As a countermeasure for prevention, 'Punishment, law and regulation of the sexual harasser(n = 151; 26.4%)', 'A preventive education of sexual harassment in adolescence (n = 125: 21.8%)'. 'Reformation of gender inequality and sex discrimination in the socio-structure(n=76; 13.3%)'. 4. Out of 573 students who participated in this study, 209(36.5%) students reported experiencing an incident of sexual harassment. For 278 males who participated in this study, 88(31.7%) had experienced an incident of sexual harassment. For the 295 females who participated in this study, 121(41.0%) had experienced an incident of sexual harassment. The type of sexual harassment is reported physical sexual harassment(n = 248: 40.5%), verbal sexual harassment(n = 226; 36.7%), and visual sexual harassment(n=139: 22.6%). 5. Their age in which they had experienced harassment was usually 'after 16 years of age(n=122: 58.4%)'. The age of harassers were mostly teenagers(n=112; 53.6%). The relationship to the with sexual harasser was a stranger (n=85; 40.7%), or a friend(n=78: 37.3%). After the incident of sexual harassment occurred, some students informed friends (n=114: 54.5%), 63(30.1%) told no one. Male students' feelings after the experienced harassment ranged from: 'be interesting', 'be pleasant'. Female students' feelings after the experienced harassment ranged from; 'be surprised', 'get a shock', 'fear', 'shame'.

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Married Women's Economic Dependency and the Welfare State (기혼여성의 경제적 의존과 복지국가)

  • Kim, Young-mi
    • Korean Journal of Social Welfare Studies
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    • no.36
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    • pp.55-80
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    • 2008
  • Research on the welfare state or income inequality has been concerned with variations in inequality between societies or families. These studies tend to view the family as a unit of shared interests where incomes are pooled and distributed equally. This study makes a theoretical and empirical case for why it is important to look at economic dependency within the family in comparative welfare state research. Using the Luxembourg Income Study data this study examined married women's dependency on their husbands' earnings in 16 western industrialized countries. The constructed measure for married women's level of economic dependency followed the procedure of Sørensen & McLanahan(1987), which stated : "her dependency is measured by the extent to which a woman's standard of living(as determined by her share of income) is derived from a transfer from her husband." The finding suggested that married women's economic dependence was lowest in Scandinavian countries. On the contrary, in Southern Europe countries most married women were dependent on husbands' earnings. In Netherlands, Austria, Germany where the share of part-time work among married women was high, married women's economic dependence was also high. This showed the women's labor force participation did not mean that the majority of couples were equal with respect to earnings, nor that a major shift in the sexual division of labour has taken place. This paper analysed the causal relationship between the married women's economic independence and the welfare state by using Ragin(2000)'s Fuzzy-Set Qualitative Comparative Analysis. This analysis considered the various conditions of the welfare state : namely, left power, union mobilization density, women's mobilization, public service sector employment and generous support on the family. The result showed that powerful union, high level of women's mobilization and the generous support on the family were necessary conditions for 'relatively high' level of married women's economic independence.