


Give examples of statistical models that use PMFs.
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what is pmf
- When can a binomial distribution be approximated by a normal distribution? What are some software libraries in Python that can be used to work with PMFs?
- What is the central limit theorem for discrete random variables? Under what conditions can a discrete distribution be approximated by a continuous distribution?
- Give examples of parameters for different discrete distributions.
- How is the study of PMFs evolving with advancements in computing and data science? Can you provide a list of important discrete probability distributions and their PMFs?
- What are the efficiency considerations for the acceptance-rejection method? How can you evaluate the fit of a discrete distribution to observed data using goodness-of-fit tests like the chi-squared test?
- What is inverse transform sampling for discrete distributions? How do you compare two different PMFs?
- What are some advantages and disadvantages of inverse transform sampling? What is the alias method for sampling from a discrete distribution?
- What is the entropy of a discrete random variable with a given PMF? How does entropy relate to the shape of a PMF?
- How do you define the PMF of a zero-inflated discrete distribution?
- How can you use PMFs to model the number of items sold on a given day?
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