• Title/Summary/Keyword: Null distribution

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Polynomially Adjusted Normal Approximation to the Null Distribution of Ansari-Bradley Statistic

  • Ha, Hyung-Tae;Yang, Wan-Youn
    • The Korean Journal of Applied Statistics
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    • v.24 no.6
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    • pp.1161-1168
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    • 2011
  • The approximation for the distribution functions of nonparametric test statistics is a significant step in statistical inference. A rank sum test for dispersions proposed by Ansari and Bradley (1960), which is widely used to distinguish the variation between two populations, has been considered as one of the most popular nonparametric statistics. In this paper, the statistical tables for the distribution of the nonparametric Ansari-Bradley statistic is produced by use of polynomially adjusted normal approximation as a semi parametric density approximation technique. Polynomial adjustment can significantly improve approximation precision from normal approximation. The normal-polynomial density approximation for Ansari-Bradley statistic under finite sample sizes is utilized to provide the statistical table for various combination of its sample sizes. In order to find the optimal degree of polynomial adjustment of the proposed technique, the sum of squared probability mass function(PMF) difference between the exact distribution and its approximant is measured. It was observed that the approximation utilizing only two more moments of Ansari-Bradley statistic (in addition to the first two moments for normal approximation provide) more accurate approximations for various combinations of parameters. For instance, four degree polynomially adjusted normal approximant is about 117 times more accurate than normal approximation with respect to the sum of the squared PMF difference.

The Study on Function and Localization of Nup97 in Fission Yeast (분열효모에서 Nup97의 기능과 세포 내 위치에 대한 연구)

  • Hwang, Duk-Kyung;Yoon, Jin-Ho
    • Korean Journal of Microbiology
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    • v.44 no.2
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    • pp.105-109
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    • 2008
  • We studied on the function and localization of fission yeast Schizosaccharomyces pombe Nup97p, which is homologous to nucleoporin Nic96p in budding yeast Saccharomyces cerevisiae. There was no effect on growth and $poly(A)^{+}$ RNA distribution of cells when nup97 gene was overexpressed. However, the haploid ${\Delta}nup97::kan^{r}$ null mutants confirmed extensive $poly(A)^{+}$ RNA accumulation in the nucleus, abnormal DNA distribution, and cessation of growth when nup97 expression was repressed. We determined the subcellular localization of Nup97 tagged at the N terminus or the C terminus with GFP. Both fusions complemented growth defect of ${\Delta}nup97::kan^{r}$ null mutants. An integrated version of the nup97-GFP fusion was constructed at the nup97 locus. Nup97-GFP fusions expressed from its own promoter was localized at the nuclear periphery with a punctate appearance. These results suggest that Nup97p in fission yeast is also nucleoporin, which is involved in mRNA export.

Fourier Series Approximation for the Generalized Baumgartner Statistic

  • Ha, Hyung-Tae
    • Communications for Statistical Applications and Methods
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    • v.19 no.3
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    • pp.451-457
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    • 2012
  • Baumgartner et al. (1998) proposed a novel statistical test for the null hypothesis that two independently drawn samples of data originate from the same population, and Murakami (2006) generalized the test statistic for more than two samples. Whereas the expressions of the exact density and distribution functions of the generalized Baumgartner statistic are not yet found, the characteristic function of its limiting distribution has been obtained. Due to the development of computational power, the Fourier series approximation can be readily utilized to accurately and efficiently approximate its density function based on its Laplace transform. Numerical examples show that the Fourier series method provides an accurate approximation for statistical quantities of the generalized Baumgartner statistic.

A Study on Goodness of Fit Test in Accelerated Life Tests (가속수명시험에 대한 적합도 검정에 관한 연구)

  • Lee, Woo-Dong;Cho, Geon-Ho
    • Journal of the Korean Data and Information Science Society
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    • v.7 no.1
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    • pp.37-46
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    • 1996
  • In this paper, we introduce the goodness of fit test procedure for lifetime distribution using step stress accelerated lifetime data. Using the nonpapametric estimate of acceleration factor, we prove the strong consistence of empirical distribution function under null hypothesis. The critical vailues of Kolmogorov-Smirnov, Anderson-Darling, Cramer-von Mises statistics are computed when the lifetime distibution is assumed to be exponential and Weibull. The power of test statistics are compared through Monte-Cairo simulation study.

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Analysis of Internal Loading at Multiple Robotic Systems

  • Chung Jae Heon;Yi Byung-Ju;Kim Whee Kuk
    • Journal of Mechanical Science and Technology
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    • v.19 no.8
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    • pp.1554-1567
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    • 2005
  • When multiple robotics systems with several sub-chains grasp a common object, the inherent force redundancy provides a chance of utilizing internal loading. Analysis of grasping space based internal loading is proposed in this work since this method facilitates understanding the physical meaning of internal loadings in some applications, as compared to usual operational space based approach. Investigation of the internal loading for a triple manipulator has been few as ,compared to a dual manipulator. In this paper, types of the internal loading for dual and triple manipulator systems are investigated by using the reduced row echelon method to analyze the null space of those systems. No internal loading condition is derived and several load distribution schemes are compared through simulation. Furthermore, it is shown that the proposed scheme based on grasping space is applicable to analysis of special cases such as three-fingered and three-legged robots having a point contact with the grasped object or ground.

A Design of Ultra Compact S-Band PCM/FM Telemetry Transmitter (초소형 S-대역 PCM/FM 텔레메트리 송신기 설계 및 제작)

  • Jun, Ji-ho;Park, Ju-eun;Kim, Seong-min;Min, Se-hong;Lee, Jong-hyuk;Kim, Bok-ki
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.50 no.11
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    • pp.801-807
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    • 2022
  • In this paper, we propose an ultra compact S-Band PCM/FM telemetry transmitter. The equipment is compact, so it can be applied to a limited space and capable of stable data transmission was designed and manufactured even with specifications set differently for each operating environment and system. RF direct conversion structure is used for the miniaturization of equipment, an RF transmission board, Power distribution board, and a signal processing board were implemented on a single PCB, so that the function of the transmitter could be performed with a minimum device. According to the target specification, variable output of 1~10W and variable data rate of 390kbps~12.5Mbps is possible in S-Band(2,200~2,400MHz) without degradation of performance. To verify the performance of the equipment, the RF performance test and BER measurement test were performed after the equipment was manufactured. It was confirmed that the OBW, null-to-null bandwidth, 1st IMD, Spurious emission, Phase noise specification of the PCM/FM modulated signal which is presented by the IRIG standard were satisfied, and we can confirm the data received using the transmitter inspection equipment were transmitted normally without distortion.

A goodness - of - fit test for the exponential distribution with unknown parameters (모수가 미지인 상황에서의 지수분포성 적합도 검정방법)

  • 김부용
    • The Korean Journal of Applied Statistics
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    • v.4 no.2
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    • pp.157-170
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    • 1991
  • This article is concerned with the goodness - of - fit test for exponentiality when both the scale and location parameters are unknown. A test procedure based on the $L_1$-norm of discrepancy between the cumulative distribution function and the empirical distribution function is proposed, and the critical values of the test statistic are obtained by Monte Carlo simulations. Also the null distributions of the proposed test statistic are presented for small sample sizes. The power of tests under certain alternative distributions is investigated to compare the proposed test statistic with the well-known EDF test statistics. Our Monte Carlo power studies reveal that the proposed test statistic has good power properties, for moderate-to-large sample sizes, in comparison to other statistics although it is a conservative test.

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Quantitative Research: The Significant Effect of Psychological Empowerment on Retail Sales Employees

  • LEE, Jae-Hyung
    • Journal of Distribution Science
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    • v.20 no.5
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    • pp.129-135
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    • 2022
  • Purpose: This study aims to establish the effects of psychological empowerment on retail sales employees. It further investigates how psychological empowerment can be used to mitigate the factors that affect sales workers in addition to meeting the feelings and emotional wellbeing of sales workers to improve their productivity and the success of their organizations. Research design, data, and methodology: The current author conducted SPSS statistical analysis program to gauge the statistical association between two main constructs (Psychological Empowerment and Job performance) using 217 respondents. The main statistical tool was selected by a multiple regression methodology. Results: The statistical test from the analysis is presented in the finding section and shows that β values and P-values are greater than 0 and less than 0.05 respectively and thus, this research could reject null hypotheses which mention that psychological empowerment cannot be associated with job performance. Conclusions: All in all, this research could conclude that it will improve the attitudes of retail sales workers towards their job, making them self-committed to the tasks assigned through significant psychological empowerment factors. The retention of these workers would be enhanced because they would attain job satisfaction through a positive perception of the tasks assigned to them.

Optimal Shape Design of Dual Reflector Antenna Based on Genetic Algorithm (유전 알고리즘 기반의 이중 반사경 안테나 형상최적화 기법)

  • Park, Jung-Geun;Chung, Young-Seek;Kang, Won-June;Shin, Jin-Woo;So, Joon-Ho;Cheon, Chang-Yul
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.26 no.5
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    • pp.445-454
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    • 2015
  • In this paper, we propose an optimal design method for a dual reflector antenna(DRA) using the Genetic algorithm. In order to reduce the computational burden during the optimal design, we exploit the iterative physical optics(IPO) to calculate the surface current distribution at each reflector antenna. To improve the accuracy, we consider the shadow effect by the structure and the coupling effect by the multi-reflection based on the iterative MFIE(Magnetic Field Integral Equation). To reduce the number of design variables and generate a smooth surface, we use the Bezier function with the control points, which become the design variables in this paper. We adopt the HPBW(Half Power Beam Width), the FNBW(First Null Beam Width), and the SLL(Side Lobe Level) as the objective or cost functions. To verify the results, we compare them with the those of the commercial tool.

A Study on Comparison of Response Time using Open API of Daishin Securities Co. and eBestInvestment and Securities Co.

  • Ryu, Gui Yeol
    • International journal of advanced smart convergence
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    • v.11 no.1
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    • pp.11-18
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    • 2022
  • Securities and investment services have and use large data. Investors started to invest through their own analysis methods. There are 22 major securities and investment companies in Korea and only 6 companies support open API. Python is effective for requesting and receiving, analyzing text data from open API. Daishin Securities Co. is the only open API that officially supports Python, and eBest Investment & Securities Co. unofficially supports Python. There are two important differences between CYBOS plus of Daishin Securities Co. and xingAPI of eBest Investment & Securities Co. First, we must log in to CYBOS plus to access the server of Daishin Securities Co. And the python program does not require a logon. However, to receive data using xingAPI, users log on in an individual Python program. Second, CYBOS plus receives data in a Request/Reply method, and zingAPI receives data through events. It can be thought that these points will show a difference in response time. Response time is important to users who use open APIs. Data were measured from August 5, 2021, to February 3, 2022. For each measurement, 15 repeated measurements were taken to obtain 420 measurements. To increase the accuracy of the study, both APIs were measured alternately under same conditions. A paired t-test was performed to test the hypothesis that the null hypothesis is there was no difference in means. The p-value is 0.2961, we do not reject null hypothesis. Therefore, we can see that there is no significant difference between means. From the boxplot, we can see that the distribution of the response time of eBest is more spread out than that of Cybos, and the position of the center is slightly lower. CYBOS plus has no restrictions on Python programming, but xingAPI has some limits because it indirectly supports Python programming. For example, there is a limit to receiving more than one current price.