• Title/Summary/Keyword: survival distribution

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Survival of Colorectal Cancer in the Presence of Competing-Risks - Modeling by Weibull Distribution

  • Baghestani, Ahmad Reza;Daneshvar, Tahoura;Pourhoseingholi, Mohamad Amin;Asadzadeh, Hamid
    • Asian Pacific Journal of Cancer Prevention
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    • v.17 no.3
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    • pp.1193-1196
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    • 2016
  • Background: Colorectal cancer (CRC) is the commonest malignancy in the lower gastrointestinal tract in both men and women. It is the third leading cause of cancer-dependent death in the world. In Iran the incidence of colorectal cancer has increased during the last 25 years. Materials and Methods: In this article we analyzed the survival of 447 colorectal patients of Taleghani hospital in Tehran using parametric competing-risks models. The cancers of these patients were diagnosed during 1985 - 2012 and followed up to 2013. The purpose was to assess the association between survival of patients with colorectal cancer in the presence of competing-risks and prognostic factors using parametric models. The analysis was carried out using R software version 3.0.2. Results: The prognostic variables included in the model were age at diagnosis, tumour site, body mass index and sex. The effect of age at diagnosis and body mass index on survival time was statistically significant. The median survival for Iranian patients with colorectal cancer is about 20 years. Conclusions: Survival function based on Weibull model compared with Kaplan-Meier survival function is smooth. Iranian data suggest a younger age distribution compared to Western reports for CRC.

Bayesian Survival Estimation of Pareto Distribution of the Second Kind Based on Type II Censored Data

  • Kim, Dal-Ho;Lee, Woo-Dong;Kang, Sang-Gil
    • Communications for Statistical Applications and Methods
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    • v.12 no.3
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    • pp.729-742
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    • 2005
  • In this paper, we discuss the propriety of the various noninformative priors for the Pareto distribution. The reference prior, Jeffreys prior and ad hoc noninformative prior which is used in several literatures will be introduced and showed that which prior gives the proper posterior distribution. The reference prior and Jeffreys prior give a proper posterior distribution, but ad hoc noninformative prior which is proportional to reciprocal of the parameters does not give a proper posterior. To compute survival function, we use the well-known approximation method proposed by Lindley (1980) and Tireney and Kadane (1986). And two methods are compared by simulation. A real data example is given to illustrate our methodology.

Individual-Based Models Applied to Species Abundance Patterns in Benthic Macroinvertebrate Communities in Streams in Response to Pollution

  • Cho, Woon-Seok;Nguyen, Tuyen Van;Chon, Tae-Soo
    • Korean Journal of Ecology and Environment
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    • v.45 no.4
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    • pp.420-443
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    • 2012
  • An Individual-Based Model (IBM) was developed by employing natural and toxic survival rates of individuals to elucidate the community responses of benthic macroin-vertebrates to anthropogenic disturbance in the streams. Experimental models (dose-response and relative sensitivity) and mathematical models (power law and negative exponential distribution) were applied to determinate the individual survival rates due to acute toxicity in stressful conditions. A power law was additionally used to present the natural survival rate. Life events, covering movement, exposure to contaminants, death and reproduction, were simulated in the IBM at the individual level in small (1 m) and short (1 week) scales to produce species abundance distributions (SADs) at the community level in large (5 km) and long (1~2 years) scales. Consequently, the SADs, such as geometric series, log-series, and log-normal distribution, were accordingly observed at severely (Biological Monitoring Working Party (BMWP<10), intermediately (BMWP<40) and weakly (BMWP${\geq}50$) polluted sites. The results from a power law and negative exponential distribution were suitably fitted to the field data across the different levels of pollution, according to the Kolmogorov-Smirnov test. The IBMs incorporating natural and toxic survival rates in individuals were useful for presenting community responses to disturbances and could be utilized as an integrative tool to elucidate community establishment processes in benthic macroin-vertebrates in the streams.

Discount Survival Models for No Covariate Case

  • Joo Yong Shim
    • Communications for Statistical Applications and Methods
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    • v.4 no.2
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    • pp.491-496
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    • 1997
  • For the survival data analysis of no covariate the discount survival model is proposed to estimate the time-varying hazard rate and the survival function recursively. In comparison with the covariate case it provide the distributionally explicit evolution of hazard rate between time intervals under the assumption of a conjugate gamma distribution. Also forecasting of the hazard rate in the next time interval is suggested, which leads to the forcecasted survival function.

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Life table method of survival analysis using the automobile production period (Life table method을 이용한 자동차 생산기간의 생존분석)

  • Kim, Sung-Je;Cho, Jai-Rip
    • Proceedings of the Safety Management and Science Conference
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    • 2009.04a
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    • pp.531-539
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    • 2009
  • The environment of automobile industry in the world is rapidly changing. It is changing of high oil price, technology, environment and construction of competition by newly rising an economic district. Automobile company is focusing on three issue because they want to reinforce competition of automobile industry in the world. That is innovation of production profit management through quality management and Lean. Chance of success is separated in R&D, providing distribution, manufacture, distribution, selling in automobile industry. Emphasis on development process, distribution process, manufacture process, circulation and selling process for strengthening the competitiveness and guarantee. In this thesis, we try to analysis the data set period of automobile production by using survival analysis. While using mean comparison of general statistics commit mistakes, survival analysis can used for including censored data in order to heighten analysis efficiency.

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A Study on Properties of the survival function Estimators with Weibull approximation

  • Lee, Jae-Man;Cha, Young-Joon
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.2
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    • pp.279-287
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    • 2003
  • In this paper we propose a local smoothing of the Nelson type estimator for the survival function based on an approximation by the Weibull distribution function. It appears that Mean Square Error and Bias of the smoothed estimator of the Nelson type survival function estimators are significantly smaller than that of the smoothed estimator of the Kaplan-Meier survival function estimator.

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Nonparametric Estimation of the Bivariate Survival Function under Koziol-Green Model I

  • Ahn, Choon-Mo;Park, Sang-Gue
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.4
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    • pp.975-982
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    • 2003
  • In this paper we considered the problem of estimating the bivariate survival distribution of the random vector (X, Y) when Y may be subject to random censoring but X is always uncensored. Adapting conditional Koziol-Green model, simplified estimator for bivariate survival function is proposed. We perform simulation to compare the proposed estimator with popular estimators and discussed the performance of it.

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A Study on Properties of the survival function Estimators with Weibull approximation

  • Lee, Jae-Man;Cha, Young-Joon
    • 한국데이터정보과학회:학술대회논문집
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    • 2003.05a
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    • pp.109-119
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    • 2003
  • In this paper we propose a local smoothing of the Nelson type estimator for the survival function based on an approximation by the Weibull distribution function. It appears that Mean Square Error and Bias of the smoothed estimator of the Nelson type survival function estimator is significantly smaller then that of the smoothed estimator of the Kaplan-Meier survival function estimator.

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Establishment of Distribution System by Individual Packaging of Live Todarodes pacificus (활오징어(Todarodes pacificus)의 개별 포장 유통시스템 확립)

  • Kim, Myung Uk;Cho, Young Je
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.43 no.7
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    • pp.1095-1103
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    • 2014
  • A packaging and distribution system for transferring individual live squids at low temperature was developed and compared to a conventional bulk container system. Ten live squids in individual packages were stored in a large container at low temperature ($0{\sim}10^{\circ}C$). Live squids in individual packages at $6^{\circ}C$ showed a survival rate of 84% up to 72 hours, after which the survival rate decreased. However, the survival rate remained at 60% up to 120 hours. Further, the squids survived up to a maximum of 7 days. Optimum temperature was $5^{\circ}C$, and the survival rate of the packages was 70% when stored at $5^{\circ}C$ for 96 hours. A distribution test was carried out using a refrigerator truck at $5^{\circ}C$, and the results showed a 100% survival rate up to 16 hours and over 90% survival rate after 20 hours. A rectangular container was the most favorable when loading the container into the refrigerator truck. In testing the required volume of supplied seawater, 100% survival rate was observed over 15 hours with 20 L of sea water or more. Therefore, a single squid needed 2 L of seawater. After refrigerator truck transportation, optimum temperature for fish tank storage was $5^{\circ}C$, at which the survival rate was over 90% up to 72 hours. Using a refrigerator truck at $5^{\circ}C$, live squids survived up to 7 days, maintaining marketability.

The transmuted GEV distribution: properties and application

  • Otiniano, Cira E.G.;de Paiva, Bianca S.;Neto, Daniele S.B. Martins
    • Communications for Statistical Applications and Methods
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    • v.26 no.3
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    • pp.239-259
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    • 2019
  • The transmuted generalized extreme value (TGEV) distribution was first introduced by Aryal and Tsokos (Nonlinear Analysis: Theory, Methods & Applications, 71, 401-407, 2009) and applied by Nascimento et al. (Hacettepe Journal of Mathematics and Statistics, 45, 1847-1864, 2016). However, they did not give explicit expressions for all the moments, tail behaviour, quantiles, survival and risk functions and order statistics. The TGEV distribution is a more flexible model than the simple GEV distribution to model extreme or rare events because the right tail of the TGEV is heavier than the GEV. In addition the TGEV distribution can adjusted various forms of asymmetry. In this article, explicit expressions for these measures of the TGEV are obtained. The tail behavior and the survival and risk functions were determined for positive gamma, the moments for nonzero gamma and the moment generating function for zero gamma. The performance of the maximum likelihood estimators (MLEs) of the TGEV parameters were tested through a series of Monte Carlo simulation experiments. In addition, the model was used to fit three real data sets related to financial returns.