# Stretched Exponential Survival Analysis for South Korean Females

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## Abstract

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## Featured Application

**The stretched exponential survival analysis enables quantitative and comparative study of female lifespan between South Korea and other countries, particularly quantifying the survival rate, the characteristic life, and the maximum lifespan.**

## Abstract

## 1. Introduction

## 2. Methods

## 3. Results and Discussion

#### 3.1. Survival Analysis

#### 3.2. Characteristic Life Analysis

#### 3.3. Maximum Lifespan Analysis

#### 3.4. Discussion

## 4. Conclusions

## Funding

## Conflicts of Interest

## References

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**Figure 1.**Survival analysis. (

**a**) The survival curves for Korean female in recent decades, 1987–2016, were obtained at the complete life tables taken from the Korean Statistical Information Service (http://kosis.kr/eng). (

**b**) The characteristic life of the given survival curve. (

**c**) The age-dependent stretched exponent. (

**d**) The old-age patterns of the stretched exponent at ages over 60 years could be fitted with the quadratic formula of age. The phase transition in the stretched exponent with age appears for 1995–2016 but not for 1987–1994.

**Figure 2.**Comparison in the increase rate of the characteristic life per decade among representative industrialized countries. The data were taken for South Korea (1987–2016) from the Korean Statistical Information Service (http://kosis.kr/eng) and for other countries (1980–2010) from the Human Mortality Database (http://www.mortality.org).

**Figure 4.**Estimation of the maximum lifespan and the characteristic life for Korean female (data from the Korean Statistical Information Service, http://kosis.kr/eng). The maximum lifespan gradually decreases at a constant rate of ∼2.99 years per decade and the characteristic life gradually increases at a constant rate of ∼3.30 years per decade.

© 2019 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

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**MDPI and ACS Style**

Weon, B.M. Stretched Exponential Survival Analysis for South Korean Females. *Appl. Sci.* **2019**, *9*, 4230.
https://doi.org/10.3390/app9204230

**AMA Style**

Weon BM. Stretched Exponential Survival Analysis for South Korean Females. *Applied Sciences*. 2019; 9(20):4230.
https://doi.org/10.3390/app9204230

**Chicago/Turabian Style**

Weon, Byung Mook. 2019. "Stretched Exponential Survival Analysis for South Korean Females" *Applied Sciences* 9, no. 20: 4230.
https://doi.org/10.3390/app9204230