STAT330 Lecture Notes - University Of Florida, Poisson Distribution

• School: University of Waterloo
• Department: Statistics
• Course: STAT330
• Professor: Christine Dupont

Document Summary

Stat 330 - tutorial 6: suppose x 2 (n) and y 2 (m). That is, show that u has the pdf (cid:16) n+m (cid:17) (cid:16) m (cid:16) n (cid:17) 2 g1(u) = (cid:17)(cid:16) n m (cid:17)n/2 un/2 1(cid:16) Be sure to specify the support of (u, v ). (b) find the marginal pdf of v . Be sure to specify the support of v : (additivity of poisson distribution) if xi p oi( i), i = 1, . , n, and x(cid:48) is are indepen- dent, show that: (additivity of binomial distribution) if xi bin (mi, p), i = 1, . , n, and x(cid:48) is are inde- pendent, show that n(cid:88) n(cid:88) (cid:16) n(cid:88) (cid:17) Xi p oi i=1 i=1 (cid:16) n(cid:88) (cid:17)