4. Special Methods

• 4.1. Uncertainty propagation
  • 4.1.1. Methods without linear unfolding
  • 4.1.2. Extension to several output quantities
  • 4.1.3. Applications in UR
• 4.2. Best estimates and confidence limits
• 4.3. Linear Least squares method
• 4.4. Utilizing a calibration curve
• 4.5. Activity determination from several gamma lines
• 4.6. Monte Carlo Simulation
• 4.7. Low-Level Applications, (N+x)-rule
• 4.8. Confidence ellipses
• 4.9. Using data sets for mean and variance
  • 4.9.1. Mathematical background
  • 4.9.2. Applying means in UncertRadio
• 4.10. Measuring a short-lived radionuclide with comparably long counting duration
  • 4.10.1. Basic principles
  • 4.10.2. Aspects of uncertainties and evaluation
  • 4.10.3. An example case
  • 4.10.4. Implementation in UncertRadio
• 4.11. Special distributions and their properties
  • 4.11.1. The gamma distribution
  • 4.11.2. The beta distribution
  • 4.11.3. The t-distribution
  • 4.11.4. Generating random numbers
• 4.12. Gross quantity: Variance interpolation for a mean
  • 4.12.1. Definitions
  • 4.12.2. Principle of the MC simulation
  • 4.12.3. Procedures with unknown random influences
  • 4.12.4. Procedures with known random influences
• 4.13. Aggregating activities of several aliquots
• 4.14. Application of decay series
  • 4.14.1. Basic procedure
  • 4.14.2. Decay corrections
  • 4.14.3. Impact on the decision threshold and the detection limit
  • 4.14.4. Implementation of decay chains in UncertRadio
  • 4.14.5. Example project
  • 4.14.6. Generation of decay factor formulas
  • 4.14.7. Decay Chain Literature