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Problem Note 46561: Reported moments for the inverse Gaussian severity function are not correct

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In SAS® OpRisk VaR, the reported moments for the inverse Gaussian (IGAUSS) severity function are incorrect.

The model parameters are incorrectly switched: the value of PARAM_1 is assigned to PARAM_2 and vice versa.

The variance formula is incorrect. It should be like this:

variance = PARAM_1**2 / PARAM_2

Or as should be shown in the documentation:

theta**2 / alpha

The standard deviation formula is incorrect. It should be like this:

std = sqrt(PARAM_1**2 / PARAM_2);

There are no error messages.

Click the Hot Fix tab in this note to access the hot fix for this issue.



Operating System and Release Information

Product FamilyProductSystemProduct ReleaseSAS Release
ReportedFixed*ReportedFixed*
SAS SystemSAS OpRisk VaRMicrosoft® Windows® for x644.1_M35.19.3 TS1M0
Microsoft Windows 95/984.1_M3
Microsoft Windows 2000 Advanced Server4.1_M3
Microsoft Windows 2000 Datacenter Server4.1_M3
Microsoft Windows 2000 Server4.1_M3
Microsoft Windows 2000 Professional4.1_M3
Microsoft Windows NT Workstation4.1_M3
Microsoft Windows Server 2003 Datacenter Edition4.1_M35.19.3 TS1M0
Microsoft Windows Server 2003 Enterprise Edition4.1_M35.19.3 TS1M0
Microsoft Windows Server 2003 Standard Edition4.1_M35.19.3 TS1M0
Microsoft Windows Server 2003 for x644.1_M35.19.3 TS1M0
Microsoft Windows Server 20084.1_M35.19.3 TS1M0
Microsoft Windows Server 2008 for x644.1_M35.19.3 TS1M0
Microsoft Windows XP Professional4.1_M35.19.3 TS1M0
Windows 7 Enterprise 32 bit4.1_M35.19.3 TS1M0
Windows 7 Enterprise x644.1_M35.19.3 TS1M0
Windows 7 Home Premium 32 bit4.1_M35.19.3 TS1M0
Windows 7 Home Premium x644.1_M35.19.3 TS1M0
Windows 7 Professional 32 bit4.1_M35.19.3 TS1M0
Windows 7 Professional x644.1_M35.19.3 TS1M0
Windows 7 Ultimate 32 bit4.1_M35.19.3 TS1M0
Windows 7 Ultimate x644.1_M35.19.3 TS1M0
Windows Millennium Edition (Me)4.1_M3
Windows Vista4.1_M35.19.3 TS1M0
Windows Vista for x644.1_M35.19.3 TS1M0
64-bit Enabled AIX4.1_M35.19.3 TS1M0
64-bit Enabled HP-UX4.1_M35.19.3 TS1M0
64-bit Enabled Solaris4.1_M35.19.3 TS1M0
HP-UX IPF4.1_M35.19.3 TS1M0
Linux4.1_M35.19.3 TS1M0
Linux for x644.1_M35.19.3 TS1M0
Solaris for x644.1_M35.19.3 TS1M0
* For software releases that are not yet generally available, the Fixed Release is the software release in which the problem is planned to be fixed.