• Communications for Statistical Applications and Methods
• /
• v.20 no.3
• /
• pp.169-174
• /
• 2013

The ROC curve is drawn with two conditional cumulative distribution functions (or survival functions) of the univariate random variable. In this work, we consider joint cumulative distribution functions of k random variables, and suggest a ROC curve for multivariate random variables. With regard to the values on the line, which passes through two mean vectors of dichotomous states, a joint cumulative distribution function can be regarded as a function of the univariate variable. After this function is modified to satisfy the properties of the cumulative distribution function, a ROC curve might be derived; moreover, some illustrative examples are demonstrated.

• Journal of applied mathematics & informatics
• /
• v.40 no.5_6
• /
• pp.925-931
• /
• 2022

In this article, we compare the reliability and the hazard function between a baseline distribution and the corresponding transmuted-G distribution. Some examples based on existing transmuted-G distributions in literature are used. Three tests of parameter significance are utilized to test the importance of a transmuted-G distribution over the baseline distribution, and real data is used in an application of the inference about the importance of transmuted-G distributions.

• The Korean Journal of Applied Statistics
• /
• v.22 no.6
• /
• pp.1345-1353
• /
• 2009

We introduce a simple methodology, so-called generalized gamma-polynomial approximation, based on moment-matching technique to approximate survival and hazard functions in the context of parametric survival analysis. We use the generalized gamma-polynomial approximation to approximate the density and distribution functions of convolutions and finite mixtures of random variables, from which the approximated survival and hazard functions are obtained. This technique provides very accurate approximation to the target functions, in addition to their being computationally efficient and easy to implement. In addition, the generalized gamma-polynomial approximations are very stable in middle range of the target distributions, whereas saddlepoint approximations are often unstable in a neighborhood of the mean.

• Communications for Statistical Applications and Methods
• /
• v.25 no.5
• /
• pp.523-544
• /
• 2018

Bivariate distributions play a fundamental role in survival and reliability studies. We consider a regression model for bivariate survival times under right-censored based on the bivariate Kumaraswamy Weibull (Cordeiro et al., Journal of the Franklin Institute, 347, 1399-1429, 2010) distribution to model the dependence of bivariate survival data. We describe some structural properties of the marginal distributions. The method of maximum likelihood and a Bayesian procedure are adopted to estimate the model parameters. We use diagnostic measures based on the local influence and Bayesian case influence diagnostics to detect influential observations in the new model. We also show that the estimates in the bivariate Kumaraswamy Weibull regression model are robust to deal with the presence of outliers in the data. In addition, we use some measures of goodness-of-fit to evaluate the bivariate Kumaraswamy Weibull regression model. The methodology is illustrated by means of a real lifetime data set for kidney patients.

• Journal of Chest Surgery
• /
• v.28 no.3
• /
• pp.280-286
• /
• 1995

In our hospital we have seen 38 cases of esophageal cancer from June 1984 until June 1994. They composed of 34[89% men and 4[11% women, their age distributed from 35 to 74, mean age was 57.55 7.43. Their symptoms were varied, dysphagia[97% , pyrosis[58% , chest pain[31% , weight loss[31% , anemia[8% , vomiting[5% , and hoarseness[1% . Surgical treatment was done with esophagectomy and upper GI reconstruction 35 cases, and palliative gastrostomy was 3 cases. There was no operative mortality, and operative morbidity was 8 cases of anastomotic leakage, 5 cases of wound infection, 5 cases of pleural effusion, hoarseness, pneumothorax, and lung abscess. Pathologic lesion distribution: upper thoracic esophagus 6 cases[16% , middle thoracic esophagus 17 cases[45% , and lower thoracic esophagus 15 cases[39% . There was no statistical difference of transhiatal esophagectomy and transthoracic esophagectomy in complications and hospitalization period in this study but we proved the superiority of gastric upper GI reconstruction rather than colon upper GI reconstruction in anastomotic leakage and hospitalization period. Cumulative survival rate was 76.2% in 1 year survival, 33.9% in 3 year survival, 25.4% in 5 year survival, 12.7% in 10 year survival. There was no relationship with the time of dysphagia with survival in this study.

• Journal of The Korean Society of Grassland and Forage Science
• /
• v.10 no.3
• /
• pp.147-151
• /
• 1990

The purpose of this study is to clarify the relation of survival rates of seedling plants under grown orchardgrass populations and control by the difference cutting frequency. The orchardgrass populations investigated in this study have passed for 10 years after establishment. Cutting frequencies were 3, 4 and 5 times in a year. This experiment was conducted from April to October, 1989 at the experimental field of Institute of Agricultural Development, Yonsei University. The results are summarized as follows: 1. The survival rates of seedling plants decreased by the days after sowing. The final survival rates of seedling plants were 7.8%, 38.9% and 33.8% in 3, 4 and 5 cuttings, respectively. 2. Relative light intensity indicated highly possitive correlation with relative survival rates of seedling plants and negative correlation with plant length of orchardgrass populations in 4 and 5 cuttings. 3. The frequency distribution of survival seedling plants at 177 days after sowing were showed high values in seeding spots near the adjacent plants of 3 cutings, but in the middle of seeding spots between adjacent plants of 4 .and 5 cuttings, respectively. 4. The plant length of seedling became longer towards the seeding spots near the adjacent plants but the number of tillers increased slightly up to the middle of seeding spots between adjacent plants in all cutting frequencies.

• Journal of Korean Society on Water Environment
• /
• v.23 no.1
• /
• pp.87-96
• /
• 2007

In this paper a methodology of identifying individual pipes according to the internal and external characteristics of pipe is developed, and the methodology is applied to a case study water distribution pipe break database. Using the newly defined individual pipes the hazard rates of the cast iron 6 inch pipes are modeled by implementing the proportional hazards modeling approach for consecutive pipe failures. The covariates to be considered in the modeling procedures are selected by considering the general availability of the data and the practical applicability of the modeling results. The individual cast iron 6 inch pipes are categorized into seven ordered survival time groups according to the total number of breaks recorded in a pipe to construct distinct proportional hazard model (PHM) for each survival time group (STG). The modeling results show that all of the PHMs have the hazard rate forms of the Weibull distribution. In addition, the estimated baseline survivor functions show that the survival probabilities of the STGs generally decrease as the number of break increases. It is found that STG I has an increasing hazard rate whereas the other STGs have decreasing hazard rates. Regarding the first failure the hazard ratio of spun-rigid and spun-flex cast iron pipes to pit cast iron pipes is estimated as 1.8 and 6.3, respectively. For the second or more failures the relative effects of pipe material/joint type on failure were not conclusive. The degree of land development affected pipe failure for STGs I, II, and V, and the average hazard ratio was estimated as 1.8. The effects of length on failure decreased as more breaks occur and the population in a GRID affected the hazard rate of the first pipe failure.

• Korean Journal of Veterinary Research
• /
• v.39 no.4
• /
• pp.838-845
• /
• 1999

To determine the prognostic factors for survival of dogs infected with canine parvovirus, clinical and laboratory data of 35 dogs with clinical signs compatible with canine parvoviral enteritis admitted to the Veterinary Medical Teaching Hospital, Seoul National University during the period 1997-1998 were collected. Dogs were grouped by some major covariates, which can be considered as guides to the relative prognosis of dogs in the different subgroups. The Kaplan-Meier survival analysis and Weibull proportional hazard model were used to estimate overall survival, evaluate the comparability between groups, and identify potential prognostic factors. The overall survival rate for all dogs was 45.7% over the study period, and the Kaplan-Meier estimate of one week survival was 0.4989. Gender was the most favorable prognosis ; male dog (median, 6 days) had significantly higher risk of dying than female dog (median, 17 days ; p = 0.0023). In addition to gender, age was significantly associated with survival, with juvenile dogs less than 6-month-old having higher risk (p = 0.0359). Dogs that vaccinated with complete protocol (p = 0.0374) and those of having higher value of mean corpuscular volume (p = 0.0346) were found to be of prognostic importance. The 7 dogs in which white blood cell count of less than 2000 had shorter median survival time (3 days) than the remaining 28 dogs (8 days), but no statistical significance was found between leukopenic and survival. The distribution of packed cell volume and hemoglobin measurement was such that the overall risk of dying in the two groups was comparable. Further studies are needed to more accurately assess these results.

• Journal of Distribution Science
• /
• v.17 no.7
• /
• pp.39-44
• /
• 2019

Purpose - This research was to help distribution of Go Bags (Survival Bag or Disaster Supplies Kit), which are useful for disaster preparedness, by surveying precomposed Go Bag items in internet shopping malls. Research design, data, and methodology - We checked 15 items including food, water, first aid kit, radio, flashlight or candles, battery, lighter or matches, whistle, blanket, towel, toilet paper, personal sanitations, raincoat, can opener, disaster manual in Go Bags based on the recommendations by the Ministry of the Interior and Safety. The number of items and price, domestic product, accreditation were compared using a Chi-square test. The Pearson's R was also used to summarize the strength of the linear relationship between the number of items and price, sub-items. Results - Mean of the sub-items was 21, and mean of the items was 8. There was a statistically significant difference between the number of items size and the price level (p=.014). There was also a statistically significant difference between the number of items and sub-items (p<.001), and correlation coefficient was a positive linear relationship of .467. Conclusions - Only eight were sold in the internet shopping malls as a precomposed Go Bag items. Even the approved Go Bags had no difference in the number of items. Higher prices had a relatively greater number of items, and it had a positive correlation between the size of sub-items and items.

• Korean journal of applied entomology
• /
• v.58 no.3
• /
• pp.175-182
• /
• 2019

The citrus leafminer, Phyllocnistis citrella (Lepidoptera: Gracillaridae), is an important pest that decreases the productivity of citrus trees by attacking citrus leaves, and especially it causes a severe damage during the young growth stage. In this study, we investigated the distribution of eggs on the leaves of shoots according to the position and the survival rate of this pest in the field condition. The occurrence patterns of P. citrella eggs in citrus orchards were largely affected by the occurrence of shoots. Even if the adults were still being attracted in the pheromone traps, the eggs were not observed on leaves when the growth of shoots was stopped. The density of P. citrella eggs in the citrus shoots peaked at the fifth or sixth leaf from the terminal leaf, and over 90% of the eggs were found in the first to eighth leaves as a whole. In 2015 and 2016, the average survival rate of larvae surviving to pupa was 1.4%, and the rate of survival to adults was 0.2%, indicating that most of them died. Furthermore, we have discussed the management strategy of P. citrella considering the distribution of eggs and the larval survival rate in the citrus shoots.