A new entropy optimization model for graduation of data in survival analysis

大一 何;Qi Huang;Jianwei Gao

China Association for Science and Technology;School of Humanities and Economic Management;North China Electric Power University

发表时间:2012-8

期 刊:Entropy

语 言:English

U R L: http://www.scopus.com/inward/record.url?scp=84867602163&partnerID=8YFLogxK

摘要

Graduation of data is of great importance in survival analysis. Smoothness and goodness of fit are two fundamental requirements in graduation. Based on the instinctive defining expression for entropy in terms of a probability distribution, two optimization models based on the Maximum Entropy Principle (MaxEnt) and Minimum Cross Entropy Principle (MinCEnt) to estimate mortality probability distributions are presented. The results demonstrate that the two approaches achieve the two basic requirements of data graduating, smoothness and goodness of fit respectively. Then, in order to achieve a compromise between these requirements, a new entropy optimization model is proposed by defining a hybrid objective function combining both principles of MaxEnt and MinCEnt models linked by a given adjustment factor which reflects the preference of smoothness and goodness of fit in the data graduation. The proposed approach is feasible and more reasonable in data graduation when both smoothness and goodness of fit are concerned.

关键词

Entropy optimization
Graduation of data
Survival analysis

相关科学

物理学和天文学

文献指纹

数学

Entropy Optimization

Optimization Model

Survival Analysis

Goodness of fit

Smoothness

Cross-entropy

Maximum Entropy Principle

Requirements

Probability Distribution

Mortality

Adjustment

Model-based

Objective function

Entropy

Demonstrate

Estimate

Model

物理与天文学

calibrating

goodness of fit

entropy

optimization

requirements

mortality

adjusting

estimates

工程与材料科学

Entropy

Probability distributions

被引量

期刊度量

Scopus度量

年份 CiteScore SJR SNIP
1996
1997
1998
1999
2000 0.141 2
2001 0.125 0.291
2002 0.213 0.74
2003 0.219 0.348
2004 0.246 0.542
2005 0.3 0.422
2006 0.338 0.654
2007 0.562 0.895
2008 0.319 0.595
2009 0.352 0.606
2010 0.392 1.021
2011 2 0.466 1.052
2012 2.1 0.401 0.994
2013 2.3 0.484 1.34
2014 2.2 0.501 1.083
2015 2.5 0.551 1.15
2016 3.3 0.56 1.082
2017 3.4 0.592 1.189
2018 3.6 0.524 1.234
2019 3.7 0.527 1.104
2020 3.7

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