2.4. The Dec Language

Objectives: Introduce the Dec Language (DecL) used to specify aggregate distributions in familiar insurance terminology.

Audience: User who wants to use DecL to build realistic aggregates.

Prerequisites: Familiar with using build. Probability theory behind aggregate distributions. Insurance and reinsurance terminology.

See also: Reinsurance Pricing, and Dec Language Reference.

Notation: <item> denotes an optional term. See the note 10 mins formatting for important information about how DecL programs are formatted and laid out in the help.

Contents:

• 2.4.1. DecL Design and Purpose
  • 2.4.1.1. Specifying a Realistic Aggregate Distribution
  • 2.4.1.2. Alternative Specifications
• 2.4.2. The Exposure Clause
  • 2.4.2.1. Determining Expected Claim Count
• 2.4.3. The Limits Sub-Clause
• 2.4.4. The Severity Clause
  • 2.4.4.1. Non-Parametric Severity Distributions
    • 2.4.4.1.1. Details
  • 2.4.4.2. Parametric Severity
  • 2.4.4.3. Shifting and Scaling Severity
  • 2.4.4.4. Unconditional Severity
  • 2.4.4.5. scipy.stats Continuous Random Variables
• 2.4.5. The Frequency Clause
  • 2.4.5.1. Non-Parametric Frequency Distributions
  • 2.4.5.2. Parametric Frequency Distributions
  • 2.4.5.3. Mixed-Poisson Frequency Distributions
  • 2.4.5.4. Zero Modification and Zero Truncation
• 2.4.6. Mixed Severity Distributions
  • 2.4.6.1. Mixed Exponential Distributions
  • 2.4.6.2. Saving to the Knowledge
  • 2.4.6.3. Different Distributions
  • 2.4.6.4. Severity Mixtures and Mixed Frequency
• 2.4.7. Limit Profiles
• 2.4.8. Vectorization: Limit Profiles and Mixed Severity
  • 2.4.8.1. Using a Limit Profile with a Mixed Severity
  • 2.4.8.2. Circumventing Products: Modeling Multiple Units in One Aggregate
• 2.4.9. The Reinsurance Clauses
  • 2.4.9.1. Layering Losses in a Tower
• 2.4.10. The Note Clause
• 2.4.11. The tweedie Keyword
  • 2.4.11.1. Analytic Error Analysis

2.4.12. Summary of Objects Created by DecL

Objects created by build() in the DecL guide.

In [1]: from aggregate import build, pprint_ex

In [2]: for n, r in build.qlist('^DecL:').iterrows():
   ...:     pprint_ex(r.program, split=20)
   ...: