• Title/Summary/Keyword: Burr Distribution

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The Assessing Comparative Study for Statistical Process Control of Software Reliability Model Based on Rayleigh and Burr Type (Rayleigh형과 Burr형 NHPP 소프트웨어 신뢰모형에 관한 통계적 공정관리 접근방법 비교연구)

  • Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.10 no.2
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    • pp.1-11
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    • 2014
  • Software reliability in the software development process is an important issue. Software process improvement helps in finishing with reliable software product. In this field, SPC (Statistical process control) is a method of process management through application of statistical analysis, which involves and includes the defining, measuring, controlling, and improving of the processes. The proposed process involves evaluation of the parameter of the mean value function and hence the values of the mean value function at various inter failure times to develop relevant time control chart. In this paper, was proposed a control mechanism, based on time between failures observations using Rayleigh and Burr distribution property, which is based on Non Homogeneous Poisson Process (NHPP). In this study, the proposed model is reliable in terms of hazard function, because it is more efficient in this area can be used as an alternative to the existing model. Through this study, software developers are considered by the various intended functions, prior knowledge of the software to identify failure modes to feed to some extent shall be able to help.

A Comprehensive Measure of Evaluation for Non-Normal Process Capability with Beta Distributions (베타분포를 하는 비정규 공정능력평가의 종합적 측도)

  • 김홍준;김진수;전창희
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.52
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    • pp.69-79
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    • 1999
  • The main objective of this study are to propose two methods that would be a comprehensive measure of evaluation for non-normal process capability with Beta distributions. First method is introduced using process capability index $C_{psk}$ by the Pearson system and Johnson system. The Pearson system and the Johnson System selected for process capability index calculation have a equivalent result of this study that the ranking of the seven indices in terms of sensitivity to departure of the process median from the target value from the most sensitive one up to the least sensitive are $C^{*}_{pm}$ , $C_{psk}$ , $C_{s}$ , $C_{pmk}$ , $C_{pm}$ , $C_{pk}$ , $C_{p}$ . Second method show using the percentage nonconforming by the Pearson, Johnson and Burr functions. In thus study, we find that the Pearson system and the Burr system are a reasonable method to estimate percentage nonconforming. But, the exact procedure for deriving this estimate will be based on Beta distribution. Accordingly, if a process is not normally distributed , but normal-based techniques are used serious errors can result.

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Evaluation of Non-Normal Process Capability for Gamma Distribution Process (Gamma 분포공정에 대한 비정규공정능력의 평가)

  • Kim, Hong-Jun;Kim, Jin-Soo;Song, Suh-Ill
    • Proceedings of the Korean Society for Quality Management Conference
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    • 1998.11a
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    • pp.133-142
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    • 1998
  • This paper is a brief review of the different procedures that are available for fitting theoretical distributions to data. The use of each technique is illustrated by reference to a distribution system which including the Pearson, Poission approximation of Gamma distribution and Burr functions. These functions can be used to calculate percent out of specification. Therefore, in this paper a new methods for estimating a measure of non-normal process capability for Gamma distributed variable data proposed using the percentage nonconforming. Process capability indices combines with the percentage nonconforming information can be used to evaluate more accurately process capability.

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Improved Group Acceptance Sampling Plan for Dagum Distribution under Percentiles Lifetime

  • Aslam, Muhammad;Shoaib, Muhammad;Khan, Hina
    • Communications for Statistical Applications and Methods
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    • v.18 no.4
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    • pp.403-411
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    • 2011
  • This paper deals with a group acceptance sampling plan for time truncated tests which are based on the total number of failures from the whole group assuming that the life time of an item follows the Dagum (inverse Burr) distribution. This study is developed when a multiple number of items as a group can be tested simultaneously in a tester. The minimum number of groups required for a given group size and acceptance number is determined such that the producer and consumer risks are satisfied simultaneously at the specified quality level, while the termination time and the number of testers are specified. Comparisons are made between the proposed plan and the existing plan on the basis of size of the groups. Two real examples are provided.

Optimum failure-censored step-stress partially accelerated life test for the truncated logistic life distribution

  • Srivastava, P.W.;Mittal, N.
    • International Journal of Reliability and Applications
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    • v.13 no.1
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    • pp.19-35
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    • 2012
  • This paper presents an optimum design of step-stress partially accelerated life test (PALT) plan which allows the test condition to be changed from use to accelerated condition on the occurrence of fixed number of failures. Various life distribution models such as exponential, Weibull, log-logistic, Burr type-Xii, etc have been used in the literature to analyze the PALT data. The need of different life distribution models is necessitated as in the presence of a limited source of data as typically occurs with modern devices having high reliability, the use of correct life distribution model helps in preventing the choice of unnecessary and expensive planned replacements. Truncated distributions arise when sample selection is not possible in some sub-region of sample space. In this paper it is assumed that the lifetimes of the items follow Truncated Logistic distribution truncated at point zero since time to failure of an item cannot be negative. Optimum step-stress PALT plan that finds the optimal proportion of units failed at normal use condition is determined by using the D-optimality criterion. The method developed has been explained using a numerical example. Sensitivity analysis and comparative study have also been carried out.

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Identifying Sensitive Components and Analyzing Reliability Process to Output Characteristic for an EAFD Circuit System According to Changes of Internal Component Values (전자식 점화안전장치 회로 시스템 내부 소자 변화에 따른 민감 소자 확인 및 출력 특성에 대한 신뢰성 분석 프로세스)

  • Lim, Tae Heung;Byun, Gangil;Jang, Seung-gyo;Back, Seungjun;Son, Youngkap;Choo, Hosung
    • Journal of the Korea Institute of Military Science and Technology
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    • v.21 no.5
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    • pp.697-703
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    • 2018
  • In this paper, we analyzed the operation of the ignition circuit for electronic arm and fire device(EAFD), and investigated the sensitive elements of the circuit system. For reliability analysis, the EAFD ignition circuit was modeled using the PSpice simulation tool, and the output results of the circuit were examined by changing the tolerance of each circuit element. Monte Carlo simulation was used by maintaining the values of the observed sensitive elements at ${\pm}10%$ of the original values and adjusting the values of the other components according to a random distribution. The histogram results of the output peak currents and pulse widths were represented by Weibull and Burr type XII function fittings in three cases(element values are +10 %, 0 %, -10 % of original). For the output peak currents, mean values were 1.0028, 1.0034, and 1.0050, where the variance values were calculated as 0.0398, 0.0396, and 0.0290 using the Weibull function fitting, respectively. For pulse widths, the mean values of 0.9475, 0.9907, and 1.0293 with the variance values of 0.0260, 0.0251, and 0.0238 were obtained using the Burr Type XII function fittings.

Notes on the Earwig Family Spongiphoridae (Insecta: Dermaptera), with a New Record of Spongovostox sakaii in Korea

  • Kim, Taewoo;Nishikawa, Masaru
    • Animal Systematics, Evolution and Diversity
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    • v.33 no.2
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    • pp.112-122
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    • 2017
  • The earwig species Spongovostox sakaii Nishikawa, 2006 is reported from the Korean Peninsula for the first time. The species was originally described from Amami-Oshima, Nansei Islands, Japan, which is located in the Oriental Region. Its distribution in Korea was confirmed by collections from Gwangneung Forest, which is located in the middle of South Korea. This is also first record of the pantropical genus Spongovostox Burr, 1911a from the Palearctic Region. Along with Labia minor Linnaeus, 1758 and Paralabellula curvicauda (Motschulsky, 1863), which had been reported from Korea previously, notes on the species are provided. And a key, descriptions, photos, and illustrations are given for their identification.

Conservation of Dermaptra in Youngnam Region I. Choosing Priority Area by Taxonomic Root Weighting and Dsitribution Analysis

  • Yun, Il-Byong-Yoon;Moon, Tae-Young-Moon
    • Animal cells and systems
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    • v.1 no.2
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    • pp.305-311
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    • 1997
  • Dermaptera was investigated, examined and reviewed in taxonomy and for distribution in Youngnam region. Based on the data, the local species groups were measured to choose priority-conservation-area by taxonomic root weighting and distribution analysis at 232 geographical conservation units. Eleven species belonging to 4 families and 8 genera were recorded mounting up to 68.75% of species diversity known in Korea. Found remarkably were the rare and endangered Challia fletcheri Burr at Sobaek Mountain National Park, and unusually Anisolabis maritima (Bonelli) in Taegu, Euborellia pallipes (Shiraki) at Island Geoje and E. plebeja (Dohrn) at Hwanho near Pohang. The highest species diversity was found at the temple Huibang area at Sobaek Mountain National Park with 8 species, which was measured also as the primary priority-conservation-area with 83.41 % of accumulated taxonomic root weighting indices in percentage. Geoje and Hwanho both measured as 12.18% of accumulated taxonomic root weighting index in percentage and complimentary to Sobaek Mountain National Park but supporting 5 and 3 species, respectively. The priority goes to the geographical conservation unit supporting higher species richness between two geographical conservation units in comparison. By the rule, the second priority-conservation-area should be Geoje and the third Hwanho. It is, thus, demonstrated how 11 species can be all conserved by choosing 3 priority-conservation-areas out of 232 geographical conservation units to maintain maximum species in minimum areas.

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A Note on the Robustness of the X Chart to Non-Normality

  • Lee, Sung-Im
    • Communications for Statistical Applications and Methods
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    • v.19 no.5
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    • pp.685-696
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    • 2012
  • These days the interest of quality leads to the necessity of control charts for monitoring the process in various fields of practical applications. The $\overline{X}$ chart is one of the most widely used tools for quality control that also performs well under the normality of quality characteristics. However, quality characteristics tend to have nonnormal properties in real applications. Numerous recent studies have tried to find and explore the performance of $\overline{X}$ chart due to non-normality; however previous studies numerically examined the effects of non-normality and did not provide any theoretical justification. Moreover, numerical studies are restricted to specific type of distributions such as Burr or gamma distribution that are known to be flexible but can hardly replace other general distributions. In this paper, we approximate the false alarm rate(FAR) of the $\overline{X}$ chart using the Edgeworth expansion up to 1/n-order with the fourth cumulant. This allows us to examine the theoretical effects of nonnormality, as measured by the skewness and kurtosis, on $\overline{X}$ chart. In addition, we investigate the effect of skewness and kurtosis on $\overline{X}$ chart in numerical studies. We use a skewed-normal distribution with a skew parameter to comprehensively investigate the effect of skewness.

A Study on the Design for the Air Impeller of a Finishing Tool Unit (피니싱 툴 유니트의 에어 임펠러 설계에 관한 연구)

  • Choi, Hyun-Jin;Kang, Ik-Soo;Lee, Seung-Yong;Jang, Eun-Sil;Park, Sun-Myung;Choi, Seong-Dae
    • Korean Journal of Computational Design and Engineering
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    • v.20 no.3
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    • pp.312-319
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    • 2015
  • The grinding and furbishing process as the finishing process for molds include the works such as the grinding, buffing, lapping and polishing among others. A finishing tool unit is applied to this finishing process for the burr, lapping, polishing and others of molds. A finishing tool unit can carry out the flexible machining, depending on the machining allowance for objects to be cut on the basis of the instrumental driving mechanism which enables the up, down, left and right floating, which is applied in link with the dedicated cutters and robot machining systems. This study selected the shape to increase the rotatory force of an impeller when air is discharged during the driving of a finishing tool unit, and reflected it to the impeller designing. In addition, the study analyzed each flow velocity and pressure distribution per air pressurization value and finally analyzed the rotating torque to suggest the optimal conditions in designing impellers.