• Title/Summary/Keyword: Probability of survival

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Testing for Failure Rate Ordering between Survival Distributions

  • Park, Chul-Gyu
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.349-365
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    • 1994
  • We develop in this paper the likelihood ratio test (LRT) for testing $H_1 : F_1 \preceq F_2$ against $H_2 - H_1$ where $H_2$ imposes no restriction on $F_1$ and $F_2$ and '$\preceq$' means failure rate ordering. Both one and two-sample problems will be considered. In the one-sample case, one of the two distributions is known, while we assume in the other case both are unknown. We derive the asymptotic null distribution of the LRT statistic which will be of chi-bar-square type. The main issue here is to determine the least favorable distribution which is stochastically largest within the class of null distributions.

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Coinical Evaluation of Cardiac Valve Replacement (심장판막치환술의 임상적 고찰)

  • 강창희
    • Journal of Chest Surgery
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    • v.27 no.6
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    • pp.444-450
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    • 1994
  • From June 1984 to February 1994, cardiac valve replacement was performed in 108 patients. The distribution of patients was ranged from 13 to 64 year-old age[mean 39.48 1.24] and 51 patients were male, 57 patients were female [male:female=1:1.1]. 64 patients had mitral valve replacement, 27 patients underwent aortic valve replacement and 17 patients were performed double[mitral & aortic] valve replacement. Total 125 artificial cardiac valves were used, mechanical valves were 51 valves and tissue valves were 74 valves. The duration of follow-up was 473.41 patient-year[mean 4.79 3.29 patient-year] and the information of follow-up was available for 99 patients[92%]. The actuarial survival rates including the operative mortality was 89.5% & 88.3 at postoperative fourth & ninth year. The probability of freedom from overall valve failure, thromboembolism and bacterial endocarditis were 77.5%, 89.2% and 95.6% at ninth year after cardiac valve replacement.

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Further Results on Piecewise Constant Hazard Functions in Aalen's Additive Risk Model

  • Uhm, Dai-Ho;Jun, Sung-Hae
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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    • pp.403-413
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    • 2012
  • The modifications suggested in Uhm et al. (2011) are studied using a partly parametric version of Aalen's additive risk model. A follow-up time period is partitioned into intervals, and hazard functions are estimated as a piecewise constant in each interval. A maximum likelihood estimator by iteratively reweighted least squares and variance estimates are suggested based on the model as well as evaluated by simulations using mean square error and a coverage probability, respectively. In conclusion the modifications are needed when there are a small number of uncensored deaths in an interval to estimate the piecewise constant hazard function.

Reaction Dynamics of Continuous Time Random Walker in Heterogeneous Environment

  • Seong, Jae-Yeong
    • Journal of the Korean Chemical Society
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    • v.50 no.4
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    • pp.277-280
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    • 2006
  • We report an exact relation between the survival probability, the revisit time distribution, and the reaction-free propagator of the continuous time random walker. The relation holds even for such a general case where the random walker has a distinct jump dynamics at each lattice site, which may be dependent also on the direction of the jump. The application range of the obtained relation is not limited to the nearest neighbor hopping in the bulk lattice either. The result is applicable to a higher dimensional system with the spherical symmetry as well as it is to the one-dimensional system.

Effects of Cyclosporin A, FK506, and 3-Deazaadenosine on Acute Graft-versus-host Disease and Survival in Allogeneic Murine Hematopoietic Stem Cell Transplantation (마우스 동종 조혈모세포 이식모델에서 Cyclosporin A, FK506, 3-Deazaadenosine 등의 약제가 급성 이식편대 숙주병과 생존에 미치는 영향)

  • Jin, Jong Youl;Jeong, Dae Chul;Eom, Hyeon Seok;Chung, Nak Gyun;Park, Soo Jeong;Choi, Byung Ock;Min, Woo Sung;Kim, Hack Ki;Kim, Chun Choo;Han, Chi Wha
    • IMMUNE NETWORK
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    • v.3 no.2
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    • pp.150-155
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    • 2003
  • Background: We investigated the effect of donor marrow T cell depletion, administration of FK506, cyclosporin A (CSA), and 3-deazaadenosine (DZA) on graft versus host disease (GVHD) after allogeneic murine hematopoietic stem cell transplantation (HSCT). Methods: We used 4 to 6 week old Balb/c ($H-2^d$, recipient), and C3H/He ($H-2^k$, donor) mice. Total body irradiated recipients received $1{\times}10^7$ bone marrow cells (BM) and $0.5{\times}10^7$ splenocytes of donor under FK506 (36 mg/kg/day), CSA (5 mg/kg/day, 20 mg/kg/day), and DZA (45 mg/kg/day), which were injected intraperitoneally from day 1 to day 14 daily and then three times a week for another 2 weeks. To prevent the GVHD, irradiated Balb/c mice were transplanted with $1{\times}10^7$ rotor-off (R/O) cells of donor BM. The severity of GVHD was assessed daily by clinical scoring method. Results: All experimental groups were well grafted after HSCT. Mice in experimental group showed higher GVHD score and more rapid progression of GVHD than the mice with R/O cells (R/O group) (p<0.01). There were relatively low GVHD scores and slow progressions in FK506 and low dose CSAgroups than high dose CSA group (p<0.01). The survival was better in FK506 group than low dose CSA group. All mice treated with CSA died within 12 days after HSCT. The GVHD score in DZA group was low and slow in comparison with control group (p<0.05), but severity and progression were similar with low dose CSA group (p=0.11). All mice without immunosuppressive treatment died within 8 days, but all survived in R/O group (p<0.01). Survival in low dose CSA group was longer than in control group (p<0.05), but in high dose CSA group, survival was similar to control group. The survival benefit in DZA group was similar with low dose CSA group. FK506 group has the best survival benefit than other groups (p<0.01), comparable with R/O group (p=0.18), although probability of survival was 60%. Conclusion: We developed lethal GVHD model after allogeneic murine HSCT. In this model, immunosuppressive agents showed survival benefits in prevention of GVHD. DZA showed similar survival benefits to low dose CSA. We propose that DZA can be used as a new immunosuppressive agent to prevent GVHD after allogeneic HSCT.

Significance of HPV Infection and Genic Mutation of APC and K-ras in Patients with Rectal Cancer

  • Sun, Zhen-Qiang;Wang, Hai-Jiang;Zhao, Ze-Liang;Wang, Qi-San;Fan, Chuan-Wen;Kureshi, Kureshi;Fang, Fa
    • Asian Pacific Journal of Cancer Prevention
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    • v.14 no.1
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    • pp.121-126
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    • 2013
  • Background: Significance of HPV infection and genic mutation of APC and K-ras in rectal cancer has been investigated but not clarified. The objective of our study was to investigate these parameters in patients with rectal cancer to analyze correlations with biological behaviour, to determine relationships among the three, and also to demonstrate survival prognosis effects. Methods: From December 2007 to September 2008, 75 rectal cancer cases confirmed by histopathology in the Tumor Hospital of Xinjiang Medical University were enrolled. The control group consisted of normal rectal mucous membrane taken simultaneously, a least 10 cm distant from the carcinoma fringe. HPV DNA, the MCR of APC and exon-1 of K-ras were detected by PCR and PCR-SSCP. All results were analyzed in relation to clinical pathological material, using chi-square and correlation analysis via SPSS.13 and Fisher's Exact Probability via STATA. 9.0. All 75 patients were followed up for survival analysis using Kaplan-Meier and Log-rank tests. Results: 55 out of 75 cases demonstrated gene HPV L1 while it was notdetected in normal rectal mucosa tissue. HPV infection was correlated with age and lymphatic metastasis (P<0.05) but not other characteristics, such as ethnicity, tumor size, histological type, tumor type, Duke's stage and infiltration depth. Some 43 cases exhibited APC genic mutation (57.3%) and 34 K-ras genic mutation (45.3%). APC genic mutation was correlated with gender(P<0.05), but not age, histological type, infiltration depth, lymphatic metastasis and Duke's stage. In 55 cases of rectal cancer with HPV infection, there were 31 cases with genic mutation of APC (56.4%) and 24 with genic mutation of K-ras (43.6%). For the 20 cases of rectal cancer with non-HPV infection, the figures were 12 cases (60%) and 10 (50.0%), respectively, with no significant relation. Survival analysis showed no statistical significance for K-ras genic mutation, APC genic mutation or HPV infection (P>0.05). However, the survival time of the patients with HPV infection was a little shorter than in cases without HPV infection. Conclusions: Our results suggest that HPV infection might be an important factor to bring about malignant phenotype of rectal cancer and influence prognosis. Genic mutation of APC and K-ras might be common early molecular events of rectal cancer, but without prognostic effects on medium-term or early stage patients with rectal cancer.

Gene signature for prediction of radiosensitivity in human papillomavirus-negative head and neck squamous cell carcinoma

  • Kim, Su Il;Kang, Jeong Wook;Noh, Joo Kyung;Jung, Hae Rim;Lee, Young Chan;Lee, Jung Woo;Kong, Moonkyoo;Eun, Young-Gyu
    • Radiation Oncology Journal
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    • v.38 no.2
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    • pp.99-108
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    • 2020
  • Purpose: The probability of recurrence of cancer after adjuvant or definitive radiotherapy in patients with human papillomavirus-negative (HPV(-)) head and neck squamous cell carcinoma (HNSCC) varies for each patient. This study aimed to identify and validate radiation sensitivity signature (RSS) of patients with HPV(-) HNSCC to predict the recurrence of cancer after radiotherapy. Materials and Methods: Clonogenic survival assays were performed to assess radiosensitivity in 14 HNSCC cell lines. We identified genes closely correlated with radiosensitivity and validated them in The Cancer Genome Atlas (TCGA) cohort. The validated RSS were analyzed by ingenuity pathway analysis (IPA) to identify canonical pathways, upstream regulators, diseases and functions, and gene networks related to radiosensitive genes in HPV(-) HNSCC. Results: The survival fraction of 14 HNSCC cell lines after exposure to 2 Gy of radiation ranged from 48% to 72%. Six genes were positively correlated and 35 genes were negatively correlated with radioresistance, respectively. RSS was validated in the HPV(-) TCGA HNSCC cohort (n = 203), and recurrence-free survival (RFS) rate was found to be significantly lower in the radioresistant group than in the radiosensitive group (p = 0.035). Cell death and survival, cell-to-cell signaling, and cellular movement were significantly enriched in RSS, and RSSs were highly correlated with each other. Conclusion: We derived a HPV(-) HNSCC-specific RSS and validated it in an independent cohort. The outcome of adjuvant or definitive radiotherapy in HPV(-) patients with HNSCC can be predicted by analyzing their RSS, which might help in establishing a personalized therapeutic plan.

A Statistical Methodology to Estimate the Economical Replacement Time of Water Pipes (상수관로의 경제적 교체시기를 산정하기 위한 통계적 방법론)

  • Park, Su-Wan
    • Journal of Korea Water Resources Association
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    • v.42 no.6
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    • pp.457-464
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    • 2009
  • This paper proposes methodologies for analyzing the accuracy of the proportional hazards model in predicting consecutive break times of water mains and estimating the time interval for economical water main replacement. By using the survival functions that are based on the proportional hazards models a criterion for the prediction of the consecutive pipe breaks is determined so that the prediction errors are minimized. The criterion to predict pipe break times are determined as the survival probability of 0.70 and only the models for the third through the seventh break are analyzed to be reliable for predicting break times for the case study pipes. Subsequently, the criterion and the estimated lower and upper bound survival functions of consecutive breaks are used in predicting the lower and upper bounds of the 95% confidence interval of future break times of an example water main. Two General Pipe Break Prediction Models(GPBMs) are estimated for an example pipe using the two series of recorded and predicted lower and upper bound break times. The threshold break rate is coupled with the two GPBMs and solved for time to obtain the economical replacement time interval.

A Study on Trade Area Analysis with the Use of Modified Probability Model (변형확률모델을 활용한 소매업의 상권분석 방안에 관한 연구)

  • Jin, Chang-Beom;Youn, Myoung-Kil
    • Journal of Distribution Science
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    • v.15 no.6
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    • pp.77-96
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    • 2017
  • Purpose - This study aims to develop correspondence strategies to the environment change in domestic retail store types. Recently, new types of retails have emerged in retail industries. Therefore, trade area platform has developed focusing on the speed of data, no longer trade area from district border. Besides, 'trade area smart' brings about change in retail types with the development of giga internet. Thus, context shopping is changing the way of consumers' purchase pattern through data capture, technology capability, and algorithm development. For these reasons, the sales estimation model has been shown to be flawed using the notion of former scale and time, and it is necessary to construct a new model. Research design, data, and methodology - This study focuses on measuring retail change in large multi-shopping mall for the outlook for retail industry and competition for trade area with the theoretical background understanding of retail store types and overall domestic retail conditions. The competition among retail store types are strong, whereas the borders among them are fading. There is a greater need to analyze on a new model because sales expectation can be hard to get with business area competition. For comprehensive research, therefore, the research method based on the statistical analysis was excluded, and field survey and literature investigation method were used to identify problems and propose an alternative. In research material, research fidelity has improved with complementing research data related with retail specialists' as well as department stores. Results - This study analyzed trade area survival and its pattern through sales estimation and empirical studies on trade areas. The sales estimation, based on Huff model system, counts the number of households shopping absorption expectation from trade areas. Based on the results, this paper estimated sales scale, and then deducted modified probability model. Conclusions - In times of retail store chain destruction and off-line store reorganization, modified Huff model has problems in estimating sales. Transformation probability model, supplemented by the existing problems, was analyzed to be more effective in competitiveness business condition. This study offers a viable alternative to figure out related trade areas' sale estimation by reconstructing new-modified probability model. As a result, the future task is to enlarge the borders from IT infrastructure with data and evidence based business into DT infrastructure.

Predictive model and quantitative microbial risk assessment of enterohemorrhagic Escherichia coli and Campylobacter jejuni in milk (우유에서 장출혈성 대장균과 캠필로박터균의 행동예측 모델 개발 및 정량적 미생물 위해성 평가 연구)

  • Dong, Jiaming;Min, Kyung Jin;Seo, Kun Ho;Yoon, Ki Sun
    • Korean Journal of Food Science and Technology
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    • v.53 no.5
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    • pp.657-668
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    • 2021
  • We prepared the growth and survival models of enterohemorrhagic Escherichia coli (EHEC) and Campylobacter jejuni in milk as a function of temperature and assessed the microbiological risks associated with the consumption of whole milk. EHEC and C. jejuni were not detected in whole milk (n=195) in the retail market. The minimum growth temperature of EHEC in milk was 7℃. The lag time of EHEC in whole milk was longer than that in skim milk. The survival ability of C. jejuni in milk was better at 4℃ than at 10℃. Lower delta values were observed in whole milk than in skim milk, indicating that C. jejuni survived better in skim milk. The probability of foodborne illness from whole milk consumption was 5.70×10-5 for EHEC and 9.86×10-9 for C. jejuni. Sensitivity analysis results show that the market temperature of EHEC and the dose-response model of C. jejuni are correlated with the probability of foodborne illness.