Abdul-Moniem, I., Selim, Y.M.: Tl-moments and l-moments estimation for the generalized pareto distribution. Appl. Math. Sci. 3(1), 43–52 (2009)

Google Scholar 

Alif, F.K., Ali, N., Safari, M.A.M.: An automated threshold selection procedure for generalized pareto distribution with application to rainfall dataset. Math. Model. Comput. 12(3), 819–831 (2025). https://doi.org/10.23939/mmc2025.03.819

Article  Google Scholar 

Alif, F.K., Ali, N., Safari, M.A.M.: An assessment on threshold selection for generalized pareto distribution using goodness of fit. Malaysian J. Math. Sci. 19(3), 871–899 (2025)

Article  Google Scholar 

Anderson, T.W.: On the distribution of the two-sample cramer-von mises criterion. Annals Math. Stat. 33, 1148–1159 (1962)

Article  Google Scholar 

Bader, B., Yan, J., Zhang, X.: Automated threshold selection for extreme value analysis via goodness-of-fit tests with application to batched return level mapping. (2016) arXiv preprint arXiv:1604.02024

Beirlant, J., Goegebeur, Y., Segers, J., Teugels, J.L.: Statistics of extremes: Theory and applications. John Wiley & Sons, Hoboken (2006)

Google Scholar 

Berger, V.W., Zhou, Y.: Kolmogorov-smirnov test: Overview. Statistics reference online, Wiley statsref (2014)

Bhatt, S., Gething, P.W., Brady, O.J., Messina, J.P., Farlow, A.W., Moyes, C.L., Drake, J.M., Brownstein, J.S., Hoen, A.G., Sankoh, O., et al.: The global distribution and burden of dengue. Nature 496(7446), 504–507 (2013)

Article  CAS  PubMed  PubMed Central  Google Scholar 

Biddle, L., Wahedi, K., Bozorgmehr, K.: Health system resilience: a literature review of empirical research. Health Policy Plan. 35(8), 1084–1109 (2020)

Article  PubMed  PubMed Central  Google Scholar 

Bonna, A.S., Pavel, S.R., Mehjabin, T., Ali, M.: Dengue in bangladesh. IJID One. Health 1, 100001 (2023)

Article  Google Scholar 

Brady, O.J., Bastos, L.S., Caldwell, J.M., Cauchemez, S., Clapham, H.E., Dorigatti, I., Gaythorpe, K.A., Hu, W., Hussain-Alkhateeb, L., Johansson, M.A., et al.: Why the growth of arboviral diseases necessitates a new generation of global risk maps and future projections. PLoS Comput. Biol. 21(4), e1012771 (2025)

Article  CAS  PubMed  PubMed Central  Google Scholar 

Bray, F., Laversanne, M., Sung, H., Ferlay, J., Siegel, R.L., Soerjomataram, I., Jemal, A.: Global cancer statistics 2022: Globocan estimates of incidence and mortality worldwide for 36 cancers in 185 countries. CA: Cancer J. Clin. 74(3), 229–263 (2024)

PubMed  Google Scholar 

Castillo, E.: Extreme value theory in engineering. Elsevier, Amsterdam (2012)

Google Scholar 

Charalambous, A., Price, R., Jha, P.: Accelerating progress on eu cancer control. Lancet Oncol. 25(2), 158–160 (2024)

Article  PubMed  Google Scholar 

Choulakian, V., Lockhart, R.A., Stephens, M.A.: Cramér-von mises statistics for discrete distributions. Canadian J. Stat./La Revue Canadienne de Statistique 22, 125–137 (1994)

Article  Google Scholar 

Chu, J., Dickin, O., Nadarajah, S.: A review of goodness of fit tests for pareto distributions. J. Comput. Appl. Math. 361, 13–41 (2019)

Article  Google Scholar 

Cleveland, R.B., Cleveland, W.S., McRae, J.E., Terpenning, I., et al.: Stl: A seasonal-trend decomposition. J. Off. Stat. 6(1), 3–73 (1990)

Google Scholar 

Coles, S., Bawa, J., Trenner, L., Dorazio, P.: An introduction to statistical modeling of extreme values, vol. 208. Springer, New York (2001)

Book  Google Scholar 

Davison, A.C., Smith, R.L.: Models for exceedances over high thresholds. J. R. Stat. Soc. Ser. B Stat Methodol. 52(3), 393–425 (1990)

Article  Google Scholar 

Dupuis, D.J.: Exceedances over high thresholds: A guide to threshold selection. Extremes 1, 251–261 (1999)

Article  Google Scholar 

Embrechts, P., Klüppelberg, C., Mikosch, T.: Modelling extremal events springer-verlag. Applications of mathematics. (1997)

Embrechts, P., Klüppelberg, C., Mikosch, T.: Modelling extremal events: For insurance and finance, vol. 33. Springer Science & Business Media, Heidelberg (2013)

Google Scholar 

Ferro, C.A., Segers, J.: Inference for clusters of extreme values. J. R. Stat. Soc. Ser. B: Stat. Methodol. 65(2), 545–556 (2003)

Article  Google Scholar 

Gaigall, D., Gerstenberg, J.: Cramér-von-mises tests for the distribution of the excess over a confidence level. J. Nonparamet. Stat. 35(3), 529–561 (2023)

Article  Google Scholar 

Gilleland, E., Katz, R.W.: extRemes 2.0: An extreme value analysis package in R. J. Stat. Softw. 72(8), 1–39 (2016). https://doi.org/10.18637/jss.v072.i08

Article  Google Scholar 

Government, W.: Monthly cancer waiting times via the urgent suspected cancer route (April 2005 to November 2020). https://statswales.gov.wales/v/SeA8. (2021)

Greenland, S., Senn, S.J., Rothman, K.J., Carlin, J.B., Poole, C., Goodman, S.N., Altman, D.G.: Statistical tests, p values, confidence intervals, and power: A guide to misinterpretations. Eur. J. Epidemiol. 31(4), 337–350 (2016)

Article  PubMed  PubMed Central  Google Scholar 

Haider, N.: Modeling the vector-borne disease transmission potential in northern europe with a special emphasis on microclimatic temperature (2018)

Haider, N., Hasan, M.N., Onyango, J., Billah, M., Khan, S., Papakonstantinou, D., Paudyal, P., Asaduzzaman, M.: Global dengue epidemic worsens with record 14 million cases and 9,000 deaths reported in 2024. Int. J. Infect. Dis. 158, 107940 (2025)

Article  PubMed  Google Scholar 

Hasan, M.M., Croke, B., et al.: Filling gaps in daily rainfall data: A statistical approach (2013)

Hasan, P.: Monthly prevalence of dengue in Bangladesh (January 2008 - September 2023). https://doi.org/10.6084/m9.figshare.24302470.v1. (2023)

Hosking, J.R.: L-moments: Analysis and estimation of distributions using linear combinations of order statistics. J. R. Stat. So. Ser. B: Stat. Methodol. 52(1), 105–124 (1990)

Article  Google Scholar 

Hosking, J.R.: Moments or l moments? an example comparing two measures of distributional shape. American Statistic. 46(3), 186–189 (1992)

Google Scholar 

Liang, B., Shao, Z., Li, H., Shao, M., Lee, D.: An automated threshold selection method based on the characteristic of extrapolated significant wave heights. Coast. Eng. 144, 22–32 (2019)

Article  Google Scholar 

Liu, B., Ananda, M.M.: A new insight into reliability data modeling with an exponentiated composite exponential-pareto model. Appl. Sci. 13(1), 645 (2023)

Article  CAS  Google Scholar 

Luceño, A.: Fitting the generalized pareto distribution to data using maximum goodness-of-fit estimators. Comput. Stat. Data Anal. 51(2), 904–917 (2006)

Article  Google Scholar 

Mínguez, R.: Automatic threshold selection for generalized pareto and pareto-poisson distributions in rainfall analysis: A case study using the noaa ncdc daily rainfall database. Atmosphere (2025). https://doi.org/10.3390/atmos16010061

Article  Google Scholar 

Mooney, C.Z., Duval, R.D., Duvall, R.: Bootstrapping: A nonparametric approach to statistical inference. Sage, Thousand Oaks (1993)

Book  Google Scholar 

Murphy, C., Tawn, J.A., Varty, Z.: Automated threshold selection and associated inference uncertainty for univariate extremes. Technometrics (2024). https://doi.org/10.1080/00401706.2024.2421744

Article  Google Scholar 

Mushtaq, R.: Augmented dickey fuller test (2011)

Pfaff, B.: Analysis of integrated and cointegrated time series with r (Second) [ISBN 0-387-27960-1]. Springer. https://www.pfaffikus.de. (2008)

Pickands, J., III.: Statistical inference using extreme order statistics. Annals Stat. 3, 119–131 (1975)

Google Scholar 

R Core Team. R: A language and environment for statistical computing [ISBN 3-900051-07-0]. R Foundation for Statistical Computing. Vienna, Austria. http://www.R-project.org/. (2013)

Rahman, M.S., Faruk, M.O., Tanjila, S., Sabbir, N.M., Haider, N., Chowdhury, S.: Entomological survey for identification of aedes larval breeding sites and their distribution in chattogram, bangladesh. Beni-Suef Univ. J. Basic Appl. Sci. 10(1), 32 (2021)

Article  Google Scholar 

Scarrott, C., MacDonald, A.: A review of extreme value threshold estimation and uncertainty quantification. REVSTAT-Stat. J. 10(1), 33–60 (2012)

Google Scholar 

Shahid, S., Harun, S.B., Katimon, A.: Changes in diurnal temperature range in bangladesh during the time period 1961–2008. Atmos. Res. 118, 260–270 (2012)

Article  Google Scholar 

Shariat, S.F.: A pan-european total cancer prevalence canvas: A benchmark for advancing strategic interventions. Lancet Oncol. 25(3), 266–267 (2024)

Article  PubMed  Google Scholar 

Šimková, T., Picek, J.: A comparison of l-, lq-, tl-moment and maximum likelihood high quantile estimates of the gpd and gev distribution. Commun. Stat.-Simulat. Comput. 46(8), 5991–6010 (2017)

Article  Google Scholar 

Sippy, R., Herrera, D., Gaus, D., Gangnon, R.E., Patz, J.A., Osorio, J.E.: Seasonal patterns of dengue fever in rural ecuador: 2009–2016. PLoS Negl. Trop. Dis. 13(5), e0007360 (2019)

Article  PubMed  PubMed Central  Google Scholar 

Solari, S., Egüen, M., Polo, M.J., Losada, M.A.: Peaks o ver t hreshold (pot): A methodology for automatic threshold estimation using goodness of fit p-value. Water Resour. Res. 53(4), 2833–2849 (2017)

Article  Google Scholar 

Syczewska, E.: Empirical power of the kwiatkowski-phillips-schmidt-shin test (2010)

Thomas, M., Lemaitre, M., Wilson, M.L., Viboud, C., Yordanov, Y., Wackernagel, H., Carrat, F.: Applications of extreme value theory in public health. PLoS ONE 11(7), e0159312 (2016)

Article  PubMed  PubMed Central