• 제목/요약/키워드: Skewed Distribution

검색결과 225건 처리시간 0.021초

비정규분포공정에서 계량치관리를 위한 메디안 특수 관리도의 모형설계와 그 적용에 관한 실용에 연구 (A Study of the effective approach method for median control chart of non-normally distributed process)

  • 신용백
    • 기술사
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    • 제21권4호
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    • pp.19-32
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    • 1988
  • Whereas is non-symmetrical distribution manufacturing process the traditional X-chart by Shewhart is not plotted relatively on the central line but plotted on the skew of upper-hand side or lower-hand side. That is to say, for the purpose of producing either upper-specification-oriented items or lower-specification-oriented items, and when we carry out tighter control so as to have them pass only its specifications, the distribution shape naturally has a non-normal distribution. In the Shewhart X-chart, which is the most widely used one in Korea, such skewed distributions make tile plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such short comings is non-normally distributed processes, a distribution-free type of confidence interval can be used, which should be haled on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for non-normal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, and Truncated-normal distributions, may be easily analyzed. To enhance this improvement, I proved the property of practical applications of control chart method by comparing and analyzing the case studies of practical application of special purpose control chart method, and also by introducing the new designed median control chart.

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의원의 의료보험진료비 수입분포와 그 결정요인 (Distribution of Private Medical Practitioners' Income from Medical Insurance and its determinants)

  • 서수교;박재용
    • 보건행정학회지
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    • 제5권1호
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    • pp.1-30
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    • 1995
  • This study was conducted to investigate the distribution of private medical practitioners' income from the medical insurance and its determinants. Total amount of the medical service fee paid by the medical insurance to 1,268 private clinics(767 in Taegu and 510 in Kyungpook that had been in practice at least for one year) in 1993 was compared by the characteristics of practitioner, clinic, patient and population. The practitioners in 40-49 years of age and 6-10 years inpractice had the highest income. Total income of a clinic was increased with the number of physicians, employees and equipments. The largest income differentials were observed among obstetrics and gynecology clinics and the least differentials were among pediatrics clinics. The characteristics of practitioner, clinic and population accounted for 41.7% of the total variance of income. The important determinants of income were specialty of the clinic, age of the practitioner and number of the employee and equipments. The large income differentials among clinics imply a skewed distribution of patients and thus long waiting time, inefficient utilization of manpower and inadequate quality of care. Effective measures to reduce the income differentials need to be developed.

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The Influence of Hardwood Interspecific Competition on Stand Structure and Dynamics for Loblolly Pine Plantations

  • Lee, Young-Jin;Cho, Hyun-Je;Kim, Dong-Geun;Bae, Kwan-Ho;Joo, Sung-Hyun;Hong, Sung-Cheon
    • The Korean Journal of Ecology
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    • 제24권4호
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    • pp.213-217
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    • 2001
  • The purpose of this study is to investigate the effects of hardwood competitions in stand structure and dynamics by applying prediction models for unthinned loblolly pine (Pinus taeda L.) plantations. A parameter recovery procedure for the Weibull distribution function based on four percentile equations was applied to develop diameter distribution prediction models. Four percentiles of the cumulative diameter distribution prediction equations were predicted as a function of quadratic mean diameter plus competin hardwood trees perhectare varibales. According to the results of this study. it was found that as the amount of competing hardwood trees increased, diameter distributions in terms of stand structure dynamics tended to be more skewed to the right. Therefore, the influence of non-planted hardwood trees interspecific competitoin on planted loblolly pines showed negative effects on the stand structure and dynamics.

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The fundamental frequency (f0) distribution of American speakers in a spontaneous speech corpus

  • Byunggon Yang
    • 말소리와 음성과학
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    • 제16권1호
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    • pp.11-16
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    • 2024
  • The fundamental frequency (f0), representing an acoustic measure of vocal fold vibration, serves as an indicator of the speaker's emotional state and language-specific pattern in daily conversations. This study aimed to examine the f0 distribution in an English corpus of spontaneous speech, establishing normative data for American speakers. The corpus involved 40 participants engaging in free discussions on daily activities and personal viewpoints. Using Praat, f0 values were collected filtering outliers after removing nonspeech sounds and interviewer voices. Statistical analyses were performed with R. Results indicated a median f0 value of 145 Hz for all the speakers. The f0 values for all speakers exhibited a right-skewed, pointy distribution within a frequency range of 216 Hz from 75 Hz to 339 Hz. The female f0 range was wider than that of males, with a median of 113 Hz for males and 181 Hz for females. This spontaneous speech corpus provides valuable insights for linguists into f0 variation among individuals or groups in a language. Further research is encouraged to develop analytical and statistical measures for establishing reliable f0 standards for the general population.

점착성 부유사의 입도분포형 검증 (Statistical investigation on size distribution of suspended cohesive sediment)

  • 박병은;변지선;손민우
    • 한국수자원학회논문집
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    • 제53권10호
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    • pp.917-928
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    • 2020
  • 본 연구는 점착성 부유사의 입도분포에 적합한 이론적 확률분포형을 찾는 것을 목적으로 수행되었다. 유의수준 5%에 대해 적합도 검정을 수행한 결과, 실험실 실험자료와 현장실험 자료에서 측정된 플럭입도분포는 다른 결과를 나타냈다. 현장실험으로부터 얻어진 표본자료의 경우 왼쪽으로 치우친 지수분포의 형태를 나타내며, Gamma 분포가 가장 우수하였다. 실험실실험 자료의 경우 표본자료가 양의 왜도를 가지며 GEV 분포가 가장 적합하였다. 많은 연구에서 점착성 유사의 입도분포로 가정되는 2매개변수 Lognormal 분포의 경우 현장실험 자료와 실험실실험 자료 모두 적합하지 않았으며, 위치매개변수를 추가하여 3매개변수 Lognormal 분포 적용 시 점착성 유사의 입도분포를 모사할 수 있는 것으로 나타났다.

결합 로그노말-파레토 분포에서 추출된 양쪽 중도 절단된 표본을 이용한 모수추정 (Estimation on composite lognormal-Pareto distribution based on doubly censored samples)

  • 이광호
    • Journal of the Korean Data and Information Science Society
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    • 제22권2호
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    • pp.171-177
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    • 2011
  • 최근에 비약적으로 발달하는 보험 산업에 수반하여 보험금 지불 분포에 대한 연구가 활발하게 진행되고 있다. 보험금 지불금의 분포는 일반적으로 두터운 꼬리를 가지면서 좌로 치우친 왜도를 가지는 파레토 분포나 로그노말 분포로 잘 설명된다고 알려져 왔으며 Cooray와 Ananda (2005)는 이들 두 분포를 결합한 결합 로그노말-파레토분포를 제시하고 이 분포의 적합도가 높음을 보였다. 그런데 보험금 지불의 경우 보금지불 총 금액의 한도로 인하여 극단적으로 큰 보험금이나 혹은 매우 사소한 보험지불금의 경우는 옵션을 두어 예외적으로 취금하는 경우가 많다. 본 논문에서는 결합 로그노말-파레토 분포로부터 추출된 표본이 양쪽 중도 절단되어 있는 경우에 대하여 모수를 추정하는 문제를 다루어 보았다.

The Marshall-Olkin generalized gamma distribution

  • Barriga, Gladys D.C.;Cordeiro, Gauss M.;Dey, Dipak K.;Cancho, Vicente G.;Louzada, Francisco;Suzuki, Adriano K.
    • Communications for Statistical Applications and Methods
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    • 제25권3호
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    • pp.245-261
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    • 2018
  • Attempts have been made to define new classes of distributions that provide more flexibility for modelling skewed data in practice. In this work we define a new extension of the generalized gamma distribution (Stacy, The Annals of Mathematical Statistics, 33, 1187-1192, 1962) for Marshall-Olkin generalized gamma (MOGG) distribution, based on the generator pioneered by Marshall and Olkin (Biometrika, 84, 641-652, 1997). This new lifetime model is very flexible including twenty one special models. The main advantage of the new family relies on the fact that practitioners will have a quite flexible distribution to fit real data from several fields, such as engineering, hydrology and survival analysis. Further, we also define a MOGG mixture model, a modification of the MOGG distribution for analyzing lifetime data in presence of cure fraction. This proposed model can be seen as a model of competing causes, where the parameter associated with the Marshall-Olkin distribution controls the activation mechanism of the latent risks (Cooner et al., Statistical Methods in Medical Research, 15, 307-324, 2006). The asymptotic properties of the maximum likelihood estimation approach of the parameters of the model are evaluated by means of simulation studies. The proposed distribution is fitted to two real data sets, one arising from measuring the strength of fibers and the other on melanoma data.

비정규 공정능력 측도에 관한 연구 (A Study on a Measure for Non-Normal Process Capability)

  • 김홍준;김진수;조남호
    • 한국신뢰성학회:학술대회논문집
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    • 한국신뢰성학회 2001년도 정기학술대회
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    • pp.311-319
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    • 2001
  • All indices that are now in use assume normally distributed data, and any use of the indices on non-normal data results in inaccurate capability measurements. Therefore, $C_{s}$ is proposed which extends the most useful index to date, the Pearn-Kotz-Johnson $C_{pmk}$, by not only taking into account that the process mean may not lie midway between the specification limits and incorporating a penalty when the mean deviates from its target, but also incorporating a penalty for skewness. Therefore we propose, a new process capability index $C_{psk}$( WV) applying the weighted variance control charting method for non-normally distributed. The main idea of the weighted variance method(WVM) is to divide a skewed or asymmetric distribution into two normal distribution from its mean to create two new distributions which have the same mean but different standard distributions. In this paper we propose an example, a distribution generated from the Johnson family of distributions, to demonstrate how the weighted variance-based process capability indices perform in comparison with another two non-normal methods, namely the Clements and the Wright methods. This example shows that the weighted valiance-based indices are more consistent than the other two methods In terms of sensitivity to departure to the process mean/median from the target value for non-normal process.s.s.s.

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화순천의 퇴적환경 및 퇴적물과 하천수의 지구화학적 특성 (Sedimentary Environments, Geochemical Characteristics of Sediments and River waters, Hwasun-cheon)

  • 오강호;고영구;김주용;김해경
    • 한국환경과학회지
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    • 제11권9호
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    • pp.881-895
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    • 2002
  • Sediments and river waters form the channel of Hwasun-cheon were studied in sedimentological size and geochemical analyses of metallic elements for the purposes of identification of depositional environments and geochemical characteristics. The sizes of sediments are assigned to pebble to coarse sand in mean size and polymodal in distribution. And the sediments are poorly to very poorly sorted and positively skewed. According to the grain size distributions of the sediments, the Hwasun-cheon belongs to gravel-bed river on the basis of the grain size distribution of the sediments. The behaviors of metallic elements in the sediments mainly depend on not grain size distribution but the geology connected with geomorphological reliefs near the stream. Contamination indices(CI) of Zn, Cu and Pb are 2.83 to 6.96 with average 4.31 in the sediments. Hwasun-cheon is assigned to general stream type in accordance with water quality of physical factors and chemical characteristics by Piper's diagram. Though meaningful values of BOD, T-N, T-P were locally depicted near Masan-ri, Hwasun-eup and Jiseok-cheon areas, artificial metal concentration do not represent in the most area of the stream. Sediments and river water are considered that the relatively more or less high metallic contents in the stream are originated from coal mine and urban area.

대구지역의 하절기 운량과 장·단파 복사 특성 분석 (Analysis of Cloudiness and Radiation Characteristics during Summer in the Greater Daegu Area)

  • 백창현;최동호;이부용;이인규
    • 한국태양에너지학회 논문집
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    • 제37권4호
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    • pp.13-22
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    • 2017
  • In this study, long and short-wave radiations were observed in urban and suburban areas during the summer season, and frequency analysis was performed for each radiation intensity by a new analysis method. The following results were obtained. (1) Long-wave radiation values were found to be larger in the afternoon than in the morning, in both urban and suburban areas, unlike short-wave radiation values. (2) Short-wave radiation showed a right-skewed frequency distribution. In the high energy area greater than $900W/m^2$, the frequency was significantly higher in the suburbs than in the urban areas. (3) Long-wave radiation was in the range of $290{\sim}479W/m^2$, its frequency distribution resembled a normal distribution, and the frequency of 410, $420W/m^2$ was the highest.