{"text_format":"1","workbook":"xlsx","n_sheets":8,"sheets":["Contents And Resources","Introduction","Data","GEV Fitting","Monte Carlo Simulations","Bootstrap Resampling","Parameter Fitting Comparison","Return Period Comparison"],"not_rendered":{"charts":19,"images":9,"macros":1,"external_links":0,"defined_names":107,"comments":1,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

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[]
[null,"Tab Name","Description",null,"Source","Use","Link"]
[null,"Resources","List recommended resources for Extreme Value Theory and for documenting methodologies used",null,"Topics in Statistics: Environmental Extremes","A thorough overview of Extreme Value Theory with equations for Loglikelihood and Percentiles","http://www.mas.ncl.ac.uk/~nlf8/teaching/mas8391/background/chapter2.pdf"]
[null,"Introduction","Description of the workbook and its general methodology",null,"Real Statistics","Overview of fitting GEV distributions to data, both analytically and through Excel's Solver","https://real-statistics.com/distribution-fitting/distribution-fitting-via-maximum-likelihood/fitting-gev-distribution-mle/"]
[null,"Data","The raw precipitation data and initial summary statistics",null,"Lamont-Doherty Earth Observatory","Overview of EVT with climate applications of the Block Maxima and Peaks-Over-Threshold approach","https://www.ldeo.columbia.edu/~amfiore/eescG9910_f14_ppts/Rieder_EVTPrimer.pdf"]
[null,"GEV Fitting","Estimates the GEV parameters for the observed data",null,"Statistical Analysis of Climate Extremes","Provides statistical frameworks for stationary and non-stationary models","https://www.manfredmudelsee.com/"]
[null,"Monte Carlo Simulations","Run the GEV Fitting algorithm for 1,000 scenarios to estimate the Standard Errors",null,"A Introduction to Statistical Learning","Chpater 5 provides in-depth algortihms for calculating confidence intervals of estimated parameters","https://www.statlearning.com/"]
[null,"Boostrap Resampling","Implements the bootstrap resampling algorithm for 1,000 scenarios to estimate the Standard Errors"]
[null,"Parameter Fitting Comparison","Compares expected observations from various fitting methodologies"]
[null,"Return Period Comparison","Compares the Estimations and Percentiles for 10 parameter sets"]

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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Steps for Updating"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"1)","Retrieve historical precipitation observations and update columns A-L in the Data tab.  Update the years in column O as needed."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2)","In the GEV Fitting tab:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2a)","   Update columns I and J to reflect the new data."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2b)","   Set increment values for the GEV parameters in cells R7:T7.  By default, the initial parameter estimates will be set to the median, standard deviation, and 0.25."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"2c)","   Run the Gradient Descent Algorithm."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"3)","In the Monte Carlo Simulations tab:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"3a)","   Set increment values for the GEV parameters in cells H3:H5."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"3b)","   Produce Monte Carlo Data"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"3c)","   Run the Gradient Descent Algorithm."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"3d)","   Update table ranges in columns CP-DX as needed."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"4)","In the Bootstrap Resampling tab:"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"4a)","   Set increment values for the GEV parameters in cells H3:H5."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"4b)","   Produce Bootstrap Data"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"4c)","   Run the Gradient Descent Algorithm."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"4d)","   Update table ranges in columns CP-DX as needed."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"5)","In the Return Period Comparison tab"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"5a)","   Set the parameters in C3:L5 as desired to see the differing impacts on the distribution."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"5b)","   Set the parameters in T4:X6 as desired to see the differing impacts on the return periods."]

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["Source","https://www.ncdc.noaa.gov/cdo-web/datasets/GHCND/stations/GHCND:USW00013994/detail"]
[null,"https://www.ncei.noaa.gov/pub/data/ghcn/daily/"]
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["USW00013994",20080610,"PRCP",0,null,null,0,2400,0,2008,6,10]
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["USW00013994",20080922,"PRCP",0,null,null,0,2400,0,2008,9,22]
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["USW00013994",20081216,"PRCP",10,null,null,0,2400,3.9370099999999998E-2,2008,12,16]
["USW00013994",20090104,"PRCP",0,"T",null,0,2400,0,2009,1,4]
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["USW00013994",20090712,"PRCP",229,null,null,0,2400,0.90157528999999992,2009,7,12]
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["USW00013994",20130610,"PRCP",15,null,null,"W",2400,5.9055150000000001E-2,2013,6,10]
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["USW00013994",20131111,"PRCP",15,null,null,"W",2400,5.9055150000000001E-2,2013,11,11]
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["USW00013994",20140414,"PRCP",18,null,null,"W",2400,7.0866180000000001E-2,2014,4,14]
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["USW00013994",20140623,"PRCP",15,null,null,"W",2400,5.9055150000000001E-2,2014,6,23]
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["USW00013994",20141005,"PRCP",0,null,null,"W",2400,0,2014,10,5]
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["USW00013994",20141213,"PRCP",0,null,null,"W",2400,0,2014,12,13]
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["USW00013994",20150112,"PRCP",8,null,null,"W",2400,3.1496080000000003E-2,2015,1,12]
["USW00013994",20150117,"PRCP",0,null,null,"W",2400,0,2015,1,17]
["USW00013994",20150208,"PRCP",0,"T",null,"W",2400,0,2015,2,8]
["USW00013994",20150217,"PRCP",5,null,null,"W",2400,1.9685049999999999E-2,2015,2,17]
["USW00013994",20150308,"PRCP",0,null,null,"W",2400,0,2015,3,8]
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["USW00013994",20150412,"PRCP",0,null,null,"W",2400,0,2015,4,12]
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["USW00013994",20150516,"PRCP",23,null,null,"W",2400,9.0551229999999983E-2,2015,5,16]
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["USW00013994",20150725,"PRCP",0,"T",null,"W",2400,0,2015,7,25]
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["USW00013994",20151002,"PRCP",0,null,null,"W",2400,0,2015,10,2]
["USW00013994",20151017,"PRCP",0,null,null,"W",2400,0,2015,10,17]
["USW00013994",20151101,"PRCP",0,null,null,"W",2400,0,2015,11,1]
["USW00013994",20151110,"PRCP",0,null,null,"W",2400,0,2015,11,10]
["USW00013994",20151206,"PRCP",0,"T",null,"W",2400,0,2015,12,6]
["USW00013994",20151211,"PRCP",0,null,null,"W",2400,0,2015,12,11]
["USW00013994",20151226,"PRCP",1237,null,null,"W",2400,4.8700813700000003,2015,12,26]
["USW00013994",20160110,"PRCP",0,"T",null,"W",2400,0,2016,1,10]
["USW00013994",20160129,"PRCP",0,null,null,"W",2400,0,2016,1,29]
["USW00013994",20160213,"PRCP",0,null,null,"W",2400,0,2016,2,13]
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{"sheet":"Monte Carlo Simulations","index":4,"n_rows":1016,"n_cols":128,"rows_kept":1016,"cut":false,"hidden":false,"merged":[[11,125,11,127],[11,122,11,124]]}
[]
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{"sheet":"Bootstrap Resampling","index":5,"n_rows":1016,"n_cols":128,"rows_kept":1016,"cut":false,"hidden":false,"merged":[[11,122,11,124],[11,125,11,127]]}
[]
[null,"Scenarios",1000,null,null,"Starting","Best","Increment","Current",null,null,null,"Best Estimate","Mean","Standard Error","CI Bottom","CI Top","2.5th Percentile","97.5th Percentile",null,"Note:","This tab follows the bootstrap algorithm described in Section 5.2 of An Introduction to Statistical Learning.  https://www.statlearning.com/",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"If the distribution of the simulated parameters is normally distributed then we can build confidence intervals using classical techniques"]
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