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    Nonparametric tests of extremes of daily maximum temperatures based on the breaking records: A case study in Seoul and Busan during 1961-2022

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    https://www.riss.kr/link?id=A108897558

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    An observation in a time series is called an upper record if it is greater than all previous observations in the series. Also it is called a lower record than all previous observations in the series. Therefore, the analysis of record-breaking events is of interest in fields such as climatology, economics and sports. As an alternative to the classical extreme value theory, which are based on the fit of generalized extreme value (GEV) distribution, generalized Pareto (GP) distribution and Poisson processes, this work is based on the study of record-breaking events to analyze non-stationarity in the extremes. The contribution of this work is the use of the statistical tools developed by Castillo-Mateo et al. (2023) to assess and analyze the effect of global warming in the extreme and record breaking events using daily maximum temperature series in Seoul and Busan over 1961-2022. These test statistics consider the information based on the four different types of record, that is, forward upper, forward lower, backward upper and backward lower. Also, change point detection is implemented based on records.
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    An observation in a time series is called an upper record if it is greater than all previous observations in the series. Also it is called a lower record than all previous observations in the series. Therefore, the analysis of record-breaking events i...

    An observation in a time series is called an upper record if it is greater than all previous observations in the series. Also it is called a lower record than all previous observations in the series. Therefore, the analysis of record-breaking events is of interest in fields such as climatology, economics and sports. As an alternative to the classical extreme value theory, which are based on the fit of generalized extreme value (GEV) distribution, generalized Pareto (GP) distribution and Poisson processes, this work is based on the study of record-breaking events to analyze non-stationarity in the extremes. The contribution of this work is the use of the statistical tools developed by Castillo-Mateo et al. (2023) to assess and analyze the effect of global warming in the extreme and record breaking events using daily maximum temperature series in Seoul and Busan over 1961-2022. These test statistics consider the information based on the four different types of record, that is, forward upper, forward lower, backward upper and backward lower. Also, change point detection is implemented based on records.

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    참고문헌 (Reference)

    1 윤필용 ; 김태웅 ; 양정석 ; 이승오, "혼합 검벨분포모형을 이용한 확률강우량의 산정" 한국수자원학회 45 (45): 263-274, 2012

    2 최빛나 ; 박만식, "역통계량을 이용한 강수량자료의 공간예측" 한국자료분석학회 18 (18): 3011-3021, 2016

    3 권현한 ; 김태정 ; 황석환 ; 김태웅, "동질성 Hidden Markov Chain 모형을 이용한 일강수량 모의기법 개발" 대한토목학회 33 (33): 1861-1870, 2013

    4 Pohlert, T., "trend: non-parametric trend tests and change-point detection, R package version 1.1.4"

    5 Gilleland. E. ., "extRemes 2. 0 : An extreme value analysis package in R" 72 (72): 1-39, 2016

    6 김희영 ; 김수현 ; Ji Yeon Oh, "Vector Generalized Additive Models for Extreme Rainfall Data Analysis: A case study in South Korea" 한국자료분석학회 25 (25): 1595-1607, 2023

    7 Hirsch, R. M., "Techniques of trend analysis for monthly water qualitydata" 18 (18): 107-121, 1982

    8 Reiss, R. D., "Statistical analysis of extreme values: with applications to insurance, finance, hydrology and other fields" Birkhäuser 2007

    9 김희영 ; 이수기, "Spatially Lagged Covariate Model with Zero Inflated Conway-Maxwell-Poisson Distribution Model for the Analysis of Pedestrian Injury Counts" 한국자료분석학회 23 (23): 2523-2534, 2021

    10 Ahsanullah, M., "Records via Probability Theory" Atlantis Press 2015

    1 윤필용 ; 김태웅 ; 양정석 ; 이승오, "혼합 검벨분포모형을 이용한 확률강우량의 산정" 한국수자원학회 45 (45): 263-274, 2012

    2 최빛나 ; 박만식, "역통계량을 이용한 강수량자료의 공간예측" 한국자료분석학회 18 (18): 3011-3021, 2016

    3 권현한 ; 김태정 ; 황석환 ; 김태웅, "동질성 Hidden Markov Chain 모형을 이용한 일강수량 모의기법 개발" 대한토목학회 33 (33): 1861-1870, 2013

    4 Pohlert, T., "trend: non-parametric trend tests and change-point detection, R package version 1.1.4"

    5 Gilleland. E. ., "extRemes 2. 0 : An extreme value analysis package in R" 72 (72): 1-39, 2016

    6 김희영 ; 김수현 ; Ji Yeon Oh, "Vector Generalized Additive Models for Extreme Rainfall Data Analysis: A case study in South Korea" 한국자료분석학회 25 (25): 1595-1607, 2023

    7 Hirsch, R. M., "Techniques of trend analysis for monthly water qualitydata" 18 (18): 107-121, 1982

    8 Reiss, R. D., "Statistical analysis of extreme values: with applications to insurance, finance, hydrology and other fields" Birkhäuser 2007

    9 김희영 ; 이수기, "Spatially Lagged Covariate Model with Zero Inflated Conway-Maxwell-Poisson Distribution Model for the Analysis of Pedestrian Injury Counts" 한국자료분석학회 23 (23): 2523-2534, 2021

    10 Ahsanullah, M., "Records via Probability Theory" Atlantis Press 2015

    11 Arnold, B. C., "Records" John Wiley& Sons Inc. 1998

    12 Castillo-Mateo J, "RecordTest: Inference Tools in Time Series Based on Record Statistics. Rpackage version 2.1.1"

    13 Castillo-Mateo, J., "RecordTest : An R package to analyse non-stationarityin the extremes based on record-breaking events" 106 (106): 1-28, 2023

    14 Cebrian, A. C., "Record tests to detect non-Stationarity in the tails withan application to climate change" 36 (36): 313-330, 2022

    15 Ahsanullah, M., "Record Values—Theory and Applications" University Press of America 2004

    16 Ahsanullah, M., "Record Statistics" Nova Science Publishers Inc. 1995

    17 Balakrishnan, N., "On the normal record values and associated inference" 39 (39): 73-80, 1998

    18 Cramer, E., "Laplace record data" 142 (142): 2179-2189, 2012

    19 Raqab, M. Z., "Inferences for generalized exponential distribution based on record statistics" 104 (104): 339-350, 2002

    20 Sultan, K., "Estimation and prediction from gamma distributionbased on record values" 52 (52): 1430-1440, 2008

    21 Foster, F. G., "Distribution-free tests in time-series based on the breaking of records" 16 (16): 1-22, 1954

    22 Castillo-Mateo, J., "Distribution-free changepoint detection tests based on the breaking of records" 29 (29): 655-676, 2022

    23 Jahn, M., "Approximately linear INGARCH models for spatio-temporal counts" 72 (72): 476-497, 2023

    24 김희영, "Applications of Poisson Hidden Markov models to PM10 concentrations data" 한국자료분석학회 24 (24): 1203-1212, 2022

    25 Coles, S. G., "An Introduction to statistical modeling of extreme values, Springer Series inStatistics" Springer-Verlag London Ltd 2001

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