{ Analytica Model Spliced_Distribution_using_Keelin, encoding="UTF-8" }
SoftwareVersion 7.0.6


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Model Spliced_Distribution_using_Keelin
Author: David Bullock~
North Dakota State University
Date: Sat, Mar 21, 2026 11:26 AM
DiagState: 2,0,0,1121,506,17,10
FontStyle: Arial,15
FileInfo: 0,Model Spliced_Distribution_using_Keelin,2,2,0,0,C:\Users\david.w.bullock\Documents\Analytica Models\Modules\Spliced Distribution using Keelin.ana

Chance Distribution2
Title: Distribution2
Description: The is the spliced distribution that prevails following the splice point.
Definition: Triangular( 0, 3, 30 )
NodeLocation: 112,368,1
NodeSize: 64,24
ValueState: 2,977,346,416,303,1,PDFP
GraphSetup: {!40400|Sys_PdfSmoothMethod:1}

Chance Distribution1
Title: Distribution1
Description: This is the base distribution that prevails before the splice point.
Definition: LogNormal( mean:5, stddev:3 )
NodeLocation: 112,272,1
NodeSize: 64,24
ValueState: 2,976,2,416,303,,PDFP
GraphSetup: {!40400|Sys_PdfSmoothMethod:1}

Variable Splice_Point
Title: Splice Point
Description: This is the value of x at which the value of the spliced distribution takes over:~
	x <= splice point: Distribution1 prevails,~
	x > splice point: Distribution 2 prevails.
Definition: Slider(7.823072671890259,styles:'LabelsBelow')
NodeLocation: 264,200,1
NodeSize: 64,24
Aliases: FormNode Fo1824898763
NodeColor: 65535,65531,1
{!40300|DomainExpr: Continuous(0,10)}

Chance Raw_Spice
Title: Raw Spice
Description: This is the raw splice before normalization of area under the combined distributions.
Definition: If Distribution1 <= Splice_Point Then Distribution1 Else Distribution2
NodeLocation: 264,320,1
NodeSize: 64,24
ValueState: 2,228,234,416,303,0,SAMP
GraphSetup: {!40400|Sys_PdfSmoothMethod:1}

Chance Splice_PDF
Title: Splice PDF
Description: Keelin distribution is used to convert the fitted percentiles into a proper distribution.
Definition: DensKeelin(X_Value,,Keelin_Coefficients,flags:1)
NodeLocation: 776,192,1
NodeSize: 64,24
WindState: 2,710,98,720,350
ValueState: 2,370,577,416,303,,MIDM
GraphSetup: {!40400|Sys_PdfSmoothMethod:1}

Index Splice_Percentiles
Title: Splice Percentiles
Definition: Sequence( 0, 1, 0.005 )
NodeLocation: 408,400,1
NodeSize: 64,24

Variable Fitted_Percentiles
Title: Fitted Percentiles
Description: These are the fitted percentiles to the raw splice data.
Definition: GetFract( Raw_Spice, Splice_Percentiles )
NodeLocation: 416,320,1
NodeSize: 64,24
WindState: 2,405,236,720,350

Variable Keelin_Coefficients
Title: Keelin Coefficients
Description: Fitting the Keelin distribution coefficients to the raw percentile data to create normalized distribution.
Definition: KeelinCoefficients(Fitted_Percentiles)
NodeLocation: 592,320,1
NodeSize: 64,24
WindState: 2,864,139,720,350

Variable X_Value
Title: X_Value
Description: Sample x-value for calculating pdf and cdf.
Definition: 7.5
NodeLocation: 984,240,1
NodeSize: 64,24
Aliases: FormNode Fo1187364555
NodeColor: 65535,65531,1

Chance Splice_CDF
Title: Splice CDF
Description: Keelin distribution is used to convert the fitted percentiles into a proper distribution.
Definition: CumKeelin(X_Value,Keelin_Coefficients,flags:1)
NodeLocation: 776,280,1
NodeSize: 64,24
WindState: 2,710,98,720,350
ValueState: 2,370,577,416,303,,MIDM
GraphSetup: {!40400|Sys_PdfSmoothMethod:1}

Variable p_Value
Title: p_Value
Description: Percentile value for inverse CDF.
Definition: 0.25
NodeLocation: 984,368,1
NodeSize: 64,24
Aliases: FormNode Fo1321582283
NodeColor: 65535,65531,1

Chance Splice_Inverse_CDF
Title: Splice Inverse CDF
Description: Keelin distribution is used to convert the fitted percentiles into a proper distribution.
Definition: CumKeelinInv(p_Value,Keelin_Coefficients,flags:1)
NodeLocation: 776,368,1
NodeSize: 64,24
WindState: 2,710,98,720,350
ValueState: 2,370,577,416,303,,MIDM
GraphSetup: {!40400|Sys_PdfSmoothMethod:1}

Chance Splice_Random_Value
Title: Splice Random Value
Description: Keelin distribution is used to convert the fitted percentiles into a proper distribution.
Definition: Keelin(Keelin_Coefficients,flags:1)
NodeLocation: 776,448,1
NodeSize: 64,24
WindState: 2,710,98,720,350
ValueState: 2,1170,11,416,303,,PDFP
GraphSetup: {!40400|Sys_PdfSmoothMethod:1}

FormNode Fo1824898763
Title: Splice Point
Definition: 0
NodeLocation: 276,140,1
NodeSize: 164,28
NodeInfo: 1,,,,,,,217,,,,,,0
NodeColor: 65535,65531,1
Original: Splice_Point

FormNode Fo1187364555
Title: X_Value
Definition: 0
NodeLocation: 984,280,1
NodeSize: 80,16
NodeColor: 65535,65531,1
Original: X_Value

FormNode Fo1321582283
Title: p_Value
Definition: 0
NodeLocation: 984,408,1
NodeSize: 80,16
NodeColor: 65535,65531,1
Original: p_Value

Text Te1915076299
Title: Creating a Spliced Distribution Using the Keelin Distribution for Normalization
Description: David W. Bullock, North Dakota State University
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