• Title/Summary/Keyword: Survival function

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ESTIMATION OF THE DISTRIBUTION FUNCTION FOR STATIONARY RANDOM FIELDS OF ASSOCIATED PROCESSES

  • Kim, Tae-Sung;Ko, Mi-Hwa;Yoo, Yeon-Sun
    • Communications of the Korean Mathematical Society
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    • v.19 no.1
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    • pp.169-177
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    • 2004
  • For a stationary field $\{X_{\b{j}},\b{j}{\;}\in{\;}{\mathbb{Z}}^d_{+}\}$ of associated random variables with distribution function $F(x)\;=\;P(X_{\b{1}}\;{\leq}\;x)$ we study strong consistency and asymptotic normality of the empirical distribution function, which is proposed as an estimator for F(x). We also consider strong consistency and asymptotic normality of the empirical survival function by applying these results.

On the Estimation of the Empirical Distribution Function for Negatively Associated Processes

  • Kim, Tae-Sung;Lee, Seung-Woo;Ko, Mi-Hwa
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.229-235
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    • 2001
  • Let {X$\_$n/, n$\geq$1] be a stationary sequence of negatively associated random variables with distribution function F(x)=P(X$_1$$\leq$x). The empirical distribution function F$\_$n/(x) based on X$_1$, X$_2$,....., X$\_$n/ is proposed as an estimator for F$\_$n/(x). Strong consistency and asymptotic normality of F$\_$n/(x) are studied. We also apply these ideas to estimation of the survival function.

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Regression Quantile Estimations on Censored Survival Data

  • Shim, Joo-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.13 no.2
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    • pp.31-38
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    • 2002
  • In the case of multiple survival times which might be censored at each covariate vector, we study the regression quantile estimations in this paper. The estimations are based on the empirical distribution functions of the censored times and the sample quantiles of the observed survival times at each covariate vector and the weighted least square method is applied for the estimation of the regression quantile. The estimators are shown to be asymptotically normally distributed under some regularity conditions.

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Partial versus Radical Nephrectomy for T1-T2 Renal Cell Carcinoma in Patients with Chronic Kidney Disease Stage III: a Multiinstitutional Analysis of Kidney Function and Survival Rate

  • Chung, Jae-Seung;Son, Nak Hoon;Lee, Sang Eun;Hong, Sung Kyu;Jeong, Chang Wook;Kwak, Cheol;Kim, Hyeon Hoe;Hong, Sung Hoo;Kim, Yong June;Kang, Seok Ho;Chung, Jinsoo;Kwon, Tae Gyun;Hwang, Eu Chang;Byun, Seok-Soo
    • Journal of Korean Medical Science
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    • v.33 no.43
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    • pp.277.1-277.10
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    • 2018
  • Background: To examine survival rates and renal function after partial nephrectomy (PN) and radical nephrectomy (RN) in patients with chronic kidney disease (CKD). Methods: We studied 4,332 patients who underwent PN or RN for pathological T1a-T2N0M0 renal cell carcinoma from 1988 to 2014. Patients were divided into two subgroups of CKD stage I-II and stage III. Kidney function, and survival outcomes were compared between groups. Results: We included 1,756 patients with CKD I-II and 276 patients with CKD III in the final pair-matched analysis. Kidney function was significantly better preserved in the PN than in the RN group among all patients. However, the beneficial effect of PN on kidney function gradually disappeared over time in CKD III patients. The 5-year overall survival (OS) rates after PN and RN differed in patients with CKD I-II disease (99.4% vs. 96.5%, respectively, P = 0.015). The 5-year OS rates after surgery were not affected by mode of nephrectomy in CKD III patients (97.8% vs. 93.5%, P = 0.103). The 5-year cancer-specific survival rates did not differ between treatment groups in all CKD stage. Cox hazard analysis showed that the operative method was a significant factor for OS in CKD I-II patients (hazard ratio [HR], 0.320; confidence interval [CI], 0.122-0.840; P = 0.021). However, PN was not beneficial in terms of OS in CKD III patients (HR, 0.395; CI, 0.086-1.172; P = 0.117). Conclusion: PN is associated with a higher OS rate and better kidney function in patients with preoperative CKD stage I and II, but not in those with CKD stage III.

Bezier curve smoothing of cumulative hazard function estimators

  • Cha, Yongseb;Kim, Choongrak
    • Communications for Statistical Applications and Methods
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    • v.23 no.3
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    • pp.189-201
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    • 2016
  • In survival analysis, the Nelson-Aalen estimator and Peterson estimator are often used to estimate a cumulative hazard function in randomly right censored data. In this paper, we suggested the smoothing version of the cumulative hazard function estimators using a Bezier curve. We compare them with the existing estimators including a kernel smooth version of the Nelson-Aalen estimator and the Peterson estimator in the sense of mean integrated square error to show through numerical studies that the proposed estimators are better than existing ones. Further, we applied our method to the Cox regression where covariates are used as predictors and suggested a survival function estimation at a given covariate.

Retrospective Clinical Study on Flapless Implant Placement

  • Kim, Jong-Hee;Kim, Young-Kyun;Yi, Yang-Jin
    • Journal of Korean Dental Science
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    • v.5 no.2
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    • pp.54-59
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    • 2012
  • Purpose: The purpose of this study was to evaluate the prognosis (clinical outcomes) of one-stage flapless implant surgery based on success and survival rate and marginal alveolar bone loss. Materials and Methods: Ninety dental implants were placed according flapless surgical procedure in forty-one patients at Hospital between April 2004 and May 2009. The mean age of the patients was 54, and the patients were comprised of 24 men and 17 women. Each patient was investigated radiographically and clinically being with average follow up 49.7 period. Result: Average healing period is 4.45 month (maxilla: 5.31 month, mandible: 3.20 month) after installation and survival rate is 95.7% in this period. The survival rate and success rate at 1 year after function (prosthodontics setting) are 92.4% and 88.0%. At final observation, the survival rate and success rate are 90.2% (maxilla: 89.1%, mandible: 92.9%) and 84.8% (maxilla: 82.8%, mandible: 89.3%). The mean residual alveolar bone resorption at 1-year after function and final observation are 0.8 mm and 1.07 mm. Conclusion: Our study suggest that if appropriate surgical technique with proper patients selection, flapless implants surgery is predictable simple and safety technique.

Fucoidan Enhances the Survival and Sustains the Number of Splenic Dendritic Cells in Mouse Endotoxemia

  • Ko, Eun-Ju;Joo, Hong-Gu
    • The Korean Journal of Physiology and Pharmacology
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    • v.15 no.2
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    • pp.89-94
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    • 2011
  • Fucoidan is a sulfated polysaccharide derived from brown algae that has been reported to perform multiple biological activities, including immunostimulation. In this study, we investigated whether fucoidan has beneficial effects on endotoxemia induced by LPS, a septic model in mice. The focus of this study was on survival rates and spleen function of the mice upon treatment. We found that fucoidan had prophylactic effects on the survival rate of mice with endotoxemia. Flow cytometric analysis using antibodies for subset-specific markers revealed that fucoidan profoundly reversed the depleted population of dendritic cells in mice with endotoxemia. According to Western blot analysis, the spleen cells of LPS/fucoidan-treated mice showed a higher expression of anti-apoptotic molecules compared to those of LPS-treated mice. Also, fucoidan-treated spleen cells were more responsive to mitogens. Taken together, these results demonstrate that fucoidan pre-treatment has beneficial effects on the survival rate and function of the spleen in mice with endotoxemia. This study may broaden the use of fucoidan in clinical fields, especially endotoxemia.

Smoothing Kaplan-Meier estimate using monotone support vector regression (단조 서포트벡터기계를 이용한 카플란-마이어 생존함수의 평활)

  • Hwang, Changha;Shim, Jooyong
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.6
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    • pp.1045-1054
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    • 2012
  • Support vector machine is known to be the very useful statistical method in classification and nonlinear function estimation. In this paper we propose a monotone support vector regression (SVR) for the estimation of monotonically decreasing function. The proposed monotone SVR is applied to smooth the Kaplan-Meier estimate of survival function. Experimental results are then presented which indicate the performance of the proposed monotone SVR using survival functions obtained by exponential distribution.

Comparison of Nonparametric Maximum Likelihood and Bayes Estimators of the Survival Function Based on Current Status Data

  • Kim, Hee-Jeong;Kim, Yong-Dai;Son, Young-Sook
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.111-119
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    • 2007
  • In this paper, we develop a nonparametric Bayesian methodology of estimating an unknown distribution function F at the given survival time with current status data under the assumption of Dirichlet process prior on F. We compare our algorithm with the nonparametric maximum likelihood estimator through application to simulated data and real data.

Some Exponentiated Distributions

  • Ali, M. Masoom;Pal, Manisha;Woo, Jung-Soo
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.93-109
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    • 2007
  • In this paper we study a number of new exponentiated distributions. The survival function, failure rate and moments of the distributions have been derived using certain special functions. The behavior of the failure rate has also been studied.