• Title, Summary, Keyword: k-record statistics

Search Result 10, Processing Time 0.091 seconds

Families of Distributions Arising from Distributions of Ordered Data

  • Ahmadi, Mosayeb;Razmkhah, M.;Mohtashami Borzadaran, G.R.
    • Communications for Statistical Applications and Methods
    • /
    • v.22 no.2
    • /
    • pp.105-120
    • /
    • 2015
  • A large family of distributions arising from distributions of ordered data is proposed which contains other models studied in the literature. This extension subsume many cases of weighted random variables such as order statistics, records, k-records and many others in variety. Such a distribution can be used for modeling data which are not identical in distribution. Some properties of the theoretical model such as moment, mean deviation, entropy criteria, symmetry and unimodality are derived. The proposed model also studies the problem of parameter estimation and derives maximum likelihood estimators in a weighted gamma distribution. Finally, it will be shown that the proposed model is the best among the previously introduced distributions for modeling a real data set.

Higher Order Moments of Record Values From the Inverse Weibull Lifetime Model and Edgeworth Approximate Inference

  • Sultan, K.S.
    • International Journal of Reliability and Applications
    • /
    • v.8 no.1
    • /
    • pp.1-16
    • /
    • 2007
  • In this paper, we derive exact explicit expressions for the triple and quadruple moments of the lower record values from inverse the Weibull (IW) distribution. Next, we present and calculate the coefficients of the best linear unbiased estimates of the location and scale parameters of IW distribution (BLUEs) for different choices of the shape parameter and records size. We then use the higher order moments and the calculated BLUEs to compute the mean, variance, and the coefficients of skewness and kurtosis of certain linear functions of lower record values. By using the coefficients of the skewness and kurtosis, we develop approximate confidence intervals for the location and scale parameters of the IW distribution using Edgeworth approximate values and then compare them with the corresponding intervals constructed through Monte Carlo simulations. Finally, we apply the findings of the paper to some simulated data.

  • PDF

CHARACTERIZATIONS OF THE EXPONENTIAL DISTRIBUTION BY ORDER STATISTICS AND CONDITIONAL

  • Lee, Min-Young;Chang, Se-Kyung;Jung, Kap-Hun
    • Communications of the Korean Mathematical Society
    • /
    • v.17 no.3
    • /
    • pp.535-540
    • /
    • 2002
  • Let X$_1$, X$_2$‥‥,X$\_$n/ be n independent and identically distributed random variables with continuous cumulative distribution function F(x). Let us rearrange the X's in the increasing order X$\_$1:n/ $\leq$ X$\_$2:n/ $\leq$ ‥‥ $\leq$ X$\_$n:n/. We call X$\_$k:n/ the k-th order statistic. Then X$\_$n:n/ - X$\_$n-1:n/ and X$\_$n-1:n/ are independent if and only if f(x) = 1-e(equation omitted) with some c > 0. And X$\_$j/ is an upper record value of this sequence lf X$\_$j/ > max(X$_1$, X$_2$,¨¨ ,X$\_$j-1/). We define u(n) = min(j|j > u(n-1),X$\_$j/ > X$\_$u(n-1)/, n $\geq$ 2) with u(1) = 1. Then F(x) = 1 - e(equation omitted), x > 0 if and only if E[X$\_$u(n+3)/ - X$\_$u(n)/ | X$\_$u(m)/ = y] = 3c, or E[X$\_$u(n+4)/ - X$\_$u(n)/|X$\_$u(m)/ = y] = 4c, n m+1.

A Study on the Cognition of Workers with Postpartum Care Home and Korean Medicine Doctor about Postpartum Care (일부지역 산후조리원 종사자와 한의사의 산후조리에 대한 인식조사)

  • Jung, Jae-Joong;Kim, Dong-Il
    • The Journal of Korean Obstetrics and Gynecology
    • /
    • v.19 no.4
    • /
    • pp.131-147
    • /
    • 2006
  • Purpose : This study was carried out to analyze the cognition and realities of postpartum care and to aid the spread of oriental medicine in postpartum care and to get a basic guideline of postpartum care home and Korean Medicine Doctor(K.M.D.)'s role model of postpartum care. Methods : We has made questions about the cognition and realities of postpartum care to 2 groups they are workers with postpartum care Home at Gangdong-gu or Songpa-gu puerperants and K.M. doctors working at Gangdong-gu from December 2005 to April 2006. And then we analyzed collected data by using statistics analysis program, SPSS. Results : Almost of 2 group felt sympathy for importance of postpartum care. 5.9% of workers with postpartum care home had maternity nurse licence, 67.6% of them had nurse license and 26.5% of them had nurse's aide qualification. 97.1% of them had experience at medical institution. Most of K.M.D. used Herb-medication for postpartum care with acupuncture and Moxibustion additionally. Conclusion : Workers with postpartum care home had a comparatively good record of medical care or postpartum care. There was difference between 2 groups about proper management model of postpartum care home.

  • PDF

A Study on the discase pattern and current status of geriatric inpatients who are over 60 years of age through the Canonical Correlation (정준상관분석을 통한 60세 이상 노인에서 질병유형과 양상에 관한 연구 -의무기록정보를 활용하여-)

  • Kim, Yong-Ha;Kim, Kwang-Hwan
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.10 no.2
    • /
    • pp.432-437
    • /
    • 2009
  • This paper has investigated disease structure and pattern against 9,955 (34.6%) elderly patients aged 60 or older at 'K' University Hospital from January 1 to December 31, 2007 through canonical correlation analysis. According to this investigation, the variable with the biggest correlation coefficient has been whether or not surgery has been performed. Since the aged are weaker than the young physically and mentally in general, a surgical operation has been considered. I hope that the result of this paper would be used as basic data for establishment of systematic geriatric health program and disease statistics.

A Study on the agreement of Principal Diagnosis (주상병 일치도에 관한 연구 -1개 중소병원을 중심으로-)

  • Seo, Young-Suk;Kim, Yoo-Mi;Nam, Moon-Hee;Kang, Sung-Hong;Lim, Ji-Hye
    • Quality Improvement in Health Care
    • /
    • v.15 no.1
    • /
    • pp.123-133
    • /
    • 2009
  • Background : The principal diagnosis has been used in many different fields such as hospital statistics, medical research, insurance claim, national health statistics and so on. Some principal diagnoses have a relatively low level of reliability in the medium-sized hospitals. The purpose of this study is to identify the reliability level of principal diagnoses and to suggest ways to improve reliability of the principal diagnosis. Method : Data were collected from a medium-sized hospital located in Pusan. The discharge summaries on 323 patients who were discharged in January, 2008 and the outpatient summaries on 251 patients who visited the hospital on March 28, 2008 were collected, and descriptive analysis was performed using SPSS version 12.0K. Result : The findings are the followings: (1) the diagnostic consistency rate between medical records and doctors' was 92.0%; (2) the diagnostic consistency rate between medical records and insurance claims was 86.1%; (3) the diagnostic consistency rate between doctors' diagnoses and insurance claims was 80.2%. The evidence seems to indicate that some principal diagnoses have reliability problems in the medium-sized hospitals. Conclusion : The results of this study suggest the followings: (1) employees should be trained and supervision of hospital activities are needed; (2) network systems should be constructed for each department; (3) professions need to be fostered (4) doctors' awareness of medical records should be changed.

  • PDF

Analysis of race time between Korean athletes participating in 2016 Seoul International Wheelchair Marathon (2016 서울 국제 휠체어 마라톤 경기대회에 참가한 국내 선수의 구간 및 기록변화 분석)

  • Kim, Seong-Ho;Kim, Sang-Hoon
    • Journal of Industrial Convergence
    • /
    • v.18 no.3
    • /
    • pp.91-98
    • /
    • 2020
  • The purpose of this study was to identify differences in records for each section of the wheelchair marathon and to provide information necessary for training and basic data for developing training methods. The subjects of this study were analyzed for the records of a total of 5 foreign male athletes and 4 domestic top athletes who completed the 42.195km full course among the participants at the 2016 Seoul International Wheelchair Marathon. Every 5km section records and finish records were used, and the first section to the ninth section were set. As for the data processing method, descriptive statistics (Mean, SD) were used using the statistical program SPSS 25.0. The following conclusions were drawn according to the above research methods and procedures. In the case of the winning W1 athletes, the record at 30km to 35km was the fastest 8 minutes and 43 seconds in the entire section, and the difference was 1 minute and 4 seconds compared to the K1 athletes of the nation's No. 1 athletes. In order to be ranked higher in international competitions, training to adapt to a quick pace at a later stage is required. That is, it was found that the second half face should be faster based on the half distance. In addition, in each section of the first half, it is necessary to develop a race pace suitable for the average speed level for each individual section. Therefore, it is considered that the fitness training program that can maintain the early race and the training program that can cope with changes in pace after the second half should be applied.

A Survey on Nurses' Utilization of Computerization in Nursing Practice (간호사의 간호업무 전산화 활용에 대한 조사연구)

  • Rhee, In-Soon
    • Journal of Korean Academy of Nursing Administration
    • /
    • v.5 no.2
    • /
    • pp.209-224
    • /
    • 1999
  • I have practiced this reserch for the purpose of proposition of basic data for amendment and addition of computer system after I surveyed the degree of abilities and satisfaction on the computerization in nursing\ practice. Subjects were collected from September 1 to September 30, 1998. Study subjects are 151 clinical nurses who are working at university hospital in Chonbuk area. Study instrument consists of 116 questionnaire which was developed by Kim H. K(1998). The data were analized number, mean ,t-test, ANOVA by using SPSS. The study results are as follows: 1. Most of the nurses who answered the questions were educated computerizing(96%). The abilities of computer program utilities were the most in inputting data(74%). The program nurses wanted computerizing education was wordprocess, dealing internet and statistics. 2. As for applying parts of computer system in nursing, the most nurses were Dr's order check (96%), treatment activity(91.4%), medication(89.4%), lab. test(87 .4%), transfering department(85.4%), transfering room(79.5%), diet(71.8%), discharge (70.2%), Barcord Sticker(70.2%) , reservation(62.2%) in order that were all conected order system mutually to other part. It showed that computer system was not applied for treating the original nursing work such as nursing record (13%), duty scheduling(6.0%) , nursing process(4.6%) , Q.I(1.3%), nursing research(1.3%), education(1.3%), 3. As for the benefit when computer system is applied for, the most respondence was promptness of work and convenience(90.6%) , exactness of work (82.8%), offering information exactily and efficiently(36.3%), offering good quality of nursing (6.0%) in order. 4. The degree of contentment on computerizing in nursing practice showed average 3.24%. The best marking item is that they are eager to participate in the computer education. Next, the automatic output of label and giving the number automatically is to prevent loss and mentioned items of patient registration from being changed(3.95) and to prevent mistakes possibly happening because of doctor's difficult order(3.85). 5. The problems which may happen to in nurses' utilization of computerization for the nursing practice showed average 3.18. The most problem is that the practice may stop because of the problem of computer itself(3.67), and the next, the indication of act can be imperfect(3.66) , manual training may overlap because of incomplete computerization (3.60), practical education for the computerizing is lack(3.41), and the computer literate nurses are lack(3.40) . 6. Study subject's contentment by age was significant difference(F=3.10,P=0.0119). Study subject's contentment by job posision was significant difference(F=6.001P=0.0034) I will propose the following according to the above results. The domain of original nursing practice is urgernt. Manual and indication of act should be made before long in computer obstacle. Nursing department should support the nurses so that they could receive the education needed for the nurses themselves.

  • PDF

Analysis of dental hygiene records applied by dental hygiene process (치위생과정을 적용한 치위생관리 기록부 분석)

  • Lee, Joon-Mee;Chung, Won-Gyun;Yoo, Jae-Ha;Kim, Nam-Hee
    • Journal of Korean society of Dental Hygiene
    • /
    • v.9 no.4
    • /
    • pp.768-783
    • /
    • 2009
  • Objectives : The purpose of this study was to analyze dental records performed through a dental hygiene process and provide basic data on clinical training education for dental hygienists. Methods : The dental hygiene records of 440 senior dental hygiene students in Y University from March 2005 to September 2008, were examined. The needs of the clients confirmed by the dental hygiene diagnosis was based on Human Need Theory. The client's needs and the number of visits were analyzed according to the general characteristics(gender, age). The contents of the dental hygiene implementation performed according to the needs were divided into dental hygiene care and oral health education. The dental hygiene evaluation was classified into 'Met of Goal', 'Partially Met of Goal', and 'Unmet of Goal' according to the dental hygiene diagnosis. Data analysis was performed for the Frequency statistics and a Fisher's exact test using SPSS 12.0K for Windows. Results : 1. The clients were mostly aged in their 20's(307 clients). 2. The dental hygiene care usually performed was 'Scaling' and 'Recommendation to visit a dental clinic', and the education performed was 'How to brush teeth'. The implementation result from the need to Freedom of Stress was as simple as 'Be careful when treating' and 'Explanation of medical treatment and tools'. 3. The dental hygiene evaluation showed a higher met rate in the field of education than in that of the dental hygiene care. The reason for unmet the goal was 'Lack of the client's efforts and they didn't visit dental clinic'. Conclusions : The search for a range of clients for dental hygiene process should be made through effective connections between the local community institutions and schools. It was suggested that they should be strength the practical exercises for clients suffering dental anxiety and stress in dental treatments. In addition, education and attempts to motivate the clients should be performed according to their characteristics.

  • PDF

Models for Estimating Genetic Parameters of Milk Production Traits Using Random Regression Models in Korean Holstein Cattle

  • Cho, C.I.;Alam, M.;Choi, T.J.;Choy, Y.H.;Choi, J.G.;Lee, S.S.;Cho, K.H.
    • Asian-Australasian Journal of Animal Sciences
    • /
    • v.29 no.5
    • /
    • pp.607-614
    • /
    • 2016
  • The objectives of the study were to estimate genetic parameters for milk production traits of Holstein cattle using random regression models (RRMs), and to compare the goodness of fit of various RRMs with homogeneous and heterogeneous residual variances. A total of 126,980 test-day milk production records of the first parity Holstein cows between 2007 and 2014 from the Dairy Cattle Improvement Center of National Agricultural Cooperative Federation in South Korea were used. These records included milk yield (MILK), fat yield (FAT), protein yield (PROT), and solids-not-fat yield (SNF). The statistical models included random effects of genetic and permanent environments using Legendre polynomials (LP) of the third to fifth order (L3-L5), fixed effects of herd-test day, year-season at calving, and a fixed regression for the test-day record (third to fifth order). The residual variances in the models were either homogeneous (HOM) or heterogeneous (15 classes, HET15; 60 classes, HET60). A total of nine models (3 orders of $polynomials{\times}3$ types of residual variance) including L3-HOM, L3-HET15, L3-HET60, L4-HOM, L4-HET15, L4-HET60, L5-HOM, L5-HET15, and L5-HET60 were compared using Akaike information criteria (AIC) and/or Schwarz Bayesian information criteria (BIC) statistics to identify the model(s) of best fit for their respective traits. The lowest BIC value was observed for the models L5-HET15 (MILK; PROT; SNF) and L4-HET15 (FAT), which fit the best. In general, the BIC values of HET15 models for a particular polynomial order was lower than that of the HET60 model in most cases. This implies that the orders of LP and types of residual variances affect the goodness of models. Also, the heterogeneity of residual variances should be considered for the test-day analysis. The heritability estimates of from the best fitted models ranged from 0.08 to 0.15 for MILK, 0.06 to 0.14 for FAT, 0.08 to 0.12 for PROT, and 0.07 to 0.13 for SNF according to days in milk of first lactation. Genetic variances for studied traits tended to decrease during the earlier stages of lactation, which were followed by increases in the middle and decreases further at the end of lactation. With regards to the fitness of the models and the differential genetic parameters across the lactation stages, we could estimate genetic parameters more accurately from RRMs than from lactation models. Therefore, we suggest using RRMs in place of lactation models to make national dairy cattle genetic evaluations for milk production traits in Korea.