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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
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
How to calculate a confidence level for a Poisson distribution? Answers without enough detail may be edited or deleted Patil Kulkarni (2012, "Comparison of Confidence Intervals for the Poisson Mean: Some New Aspects", REVSTAT - Statistical Journal) discuss 19 different ways to calculate a confidence interval for the mean of a Poisson distribution
Standard error; Poisson distribution - Cross Validated Suppose I take n n measurements of a discrete random variable in an experiment, and from that get a mean: μ = 1 n ∑xi μ = 1 n ∑ x i I take this to be the mean in a Poisson distribution Is the uncertainty in that mean the standard error: sn = (μ n)1 2 s n = (μ n) 1 2 ?
When to use Binomial Distribution vs. Poisson Distribution? For Poisson, bike might get fixed and break yet again in the same day (as said by @JMoravitz) Still, if the chosen time interval (day is an arbitrary choice) is narrowed down to so small that likelihood of breaking twice becomes negligible, Binomial is the model for the distribution
Residuals in poisson regression - Cross Validated Zuur 2013 Beginners Guide to GLM amp; GLMM suggests validating a Poisson regression by plotting Pearsons residuals against fitted values Zuur states we shouldn't see the residuals fanning out as