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Relationship between poisson and exponential distribution The waiting times for poisson distribution is an exponential distribution with parameter lambda But I don't understand it Poisson models the number of arrivals per unit of time for example How i
Why is Poisson regression used for count data? I understand that for certain datasets such as voting it performs better Why is Poisson regression used over ordinary linear regression or logistic regression? What is the mathematical motivation
How to calculate a confidence level for a Poisson distribution? Would like to know how confident I can be in my λ λ Anyone know of a way to set upper and lower confidence levels for a Poisson distribution? Observations (n n) = 88 Sample mean (λ λ) = 47 18182 what would the 95% confidence look like for this?
How to interpret coefficients in a Poisson regression? This was in discussions of interpreting logistic regression coefficients, but Poisson regression is similar if you use an offset of time at risk to get rates You add first all the coefficients (including the intercept term) times eachcovariate values and then exponentiate the resulting sum
r - Rule of thumb for deciding between Poisson and negative binomal . . . The Poisson distribution implies z ∼ N(0, 1) z ∼ N (0, 1) so a one-sample t t test can provide a P -value for testing Poisson vs negative binomial Another test for equidispersion is the Lagrange Multiplier (∑(μ2 i) − ny¯)2 (2 ∑μ2 i) (∑ (μ i 2) n y) 2 (2 ∑ μ i 2) which follows a one-degree χ2 χ 2 distribution under the null
probability - When to use Binomial Distribution vs. Poisson . . . Poisson distribution a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time and or space if these events occur with a known average rate and independently of the time since the last event