[Developer Issue]: Develop the FIMS distribution module

[Andrea-Havron-NOAA]

Issue details

prototype being developed in ModularTMBExample, nll_base

Proposed Classes:

inst/include/distributions:

• [ ] UnivariateDistributionBase*
  • [x] NormalLPDF*
  • [x] LognormalLPDF*
  • GammaLPDF
• [ ] MultivariateDistributionBase*
  • [x] MultinomialLPMF*
  • [ ] LogisticNormalLPDF*
  • [ ] MultivariateNormalLPDF*
  • DirichletLPMF (issue #112)
• [ ] SparseDistributionBase*
  • [ ] AR1*
  • 2dAR1
  • GMRF

*Proposed M2 tasks

Members of base class (shared by all children classes):

• [ ] observed_value
• [ ] expected_value
• [ ] nll_type (prior, re, or data)
• [ ] simulate_flag
• [ ] keep indicator vector (for osa)

Members of children classes

• [ ] density specific parameters
• [ ] evaluate function with:
  • [ ] log-density function
  • [ ] osa calculation
  • [ ] simulate function (issue #544 )
  • [ ] osa and simulate flags

Completing this issue also completes issue #334

[ChristineStawitz-NOAA]

closed #170 which I think is the same as this issue