점진적 중도절단에서 십분위분배율을 기반으로 한 Gumbel 분포의 적합도 검정|RISS 상세보기

다국어 초록 (Multilingual Abstract)

There are many areas of applications where Gumbel distribution are employed such as environmental sciences and hydrology. The goodness-of-fit test for Gumbel distribution is very important in environmental sciences and hydrology data analysis. In most of the life testing experiments, the experimenter is often, unable to observe life time of all items put on test and the data available to the experimenter is censored data. Therefore, we propose the test statistics to test goodness of fit for the Gumbel distribution under progressive type II censoring using decile dispersion ratio. We compare the new test statistic with the Yun and Lee (2018) test in terms of the power of the test through by Monte Carlo method. As a result, the new test statistics are more powerful than Yun and Lee (2018) test. Also, we check the proposed test statistics using ball baring data.

번역하기

참고문헌 (Reference)

1 윤난희 ; 이경준, "점진적 중도절단에서 검벨 분포의 적합도 검정" 한국데이터정보과학회 29 (29): 59-69, 2018

2 최수빈 ; 이경준, "일반화된 다중 복합 중도절단에서 지수분포의 적합도 검정" 한국데이터정보과학회 31 (31): 525-535, 2020

3 박성희 ; 이경준, "십분위분배율을 이용한 검벨분포의 적합도 검정" 한국자료분석학회 24 (24): 551-560, 2022

4 Jedrzejczak, A., "Properties of selected inequality measures based on quantiles and their application to the analysis of income distribution in Poland by Macroregion" 18 : 51-67, 2018

5 Balakrishnan, N., "Handbook of tables for order statistics from lognormal distributions with applications" Springer 1999

6 Du, Y., "Goodness-of-fit tests for the log-logistic distribution based on cumulative entropy under progressive type II censoring" 7 : 361-, 2019

7 Pakyari, R., "Goodness-of-fit tests for progressively Type-II censored data from location-scale distributions" 83 : 167-178, 2013

8 Zempleni, A., "Goodness-of-fit test in extreme value applications" University Munchen 2004

9 조영석 ; 이경준, "Goodness-of-Fit Test for the Normality based on the Generalized Lorenz Curve" 한국통계학회 21 (21): 309-316, 2014

10 Baratpour, S., "Exponentiality test based on the progressive type II censoring via cumulative entropy" 45 : 2625-2637, 2016