Day 7 in math modeling
- Homework:
- Read 2.4
- Exercises pp. 91-92, #6, 7, 8
- Begin consideration of your choice of 2.1 or 2.2.
- Collect homework folders
- Discuss homework/project issues
- Section 2.4
- Overview of modeling direction
- "environmental stochasticity" - just modeling an environmental
term?
- "demographic stochasticity" - random parameters
- While parameters "are generally considered to be normally
distributed", there is no reason to assume so. That's
what data is for!
- Leads to "fuzzy" growth models - type is constant, but
shape shifts, shrugs, etc. in response to changes in
parameters.
- Fuzzy linear models for cranes
- Random variables and distributions
- properties of pdfs and cdfs
- Computing E(X) and V(X)
- uniform
- normal
- binomial
- Are mu and sigma enough to determine a distribution?
- Histograms converge to distributions (samples give insight into
theoretical distributions)
- Using the Uniform distribution to sample from a given
distribution:
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